Time-reversal symmetry in dynamical systems: a survey

[1]  G. Iooss,et al.  Topics in bifurcation theory and applications , 1999 .

[2]  G. Goodson Inverse Conjugacies and Reversing Symmetry Groups , 1999 .

[3]  The stability of the equilibrium of reversible systems , 1999 .

[4]  Carles Simó,et al.  Hamiltonian systems with three or more degrees of freedom , 1999 .

[5]  James Montaldi,et al.  Relative Equilibria of Molecules , 1999 .

[6]  A. Jacquemard,et al.  Reversible normal forms of degenerate cusps for planar diffeomorphisms , 1998 .

[7]  G. R. W. Quispel,et al.  Numerical Integrators that Preserve Symmetries and Reversing Symmetries , 1998 .

[8]  K. V. Rerikh Algebraic-geometry approach to integrability of birational plane mappings. Integrable birational quadratic reversible mappings. I , 1998 .

[9]  C. Dellago,et al.  Field and density dependence of the Lyapunov spectrum for the driven random Lorentz gas , 1998 .

[10]  Giovanni Gallavotti,et al.  Breakdown and regeneration of time reversal symmetry in nonequilibrium statistical mechanics , 1998 .

[11]  Time reversibility in nonequilibrium thermomechanics , 1998 .

[12]  R. L. Dewar,et al.  Stellarator symmetry , 1998 .

[13]  Equivariant singularity theory with distinguished parameters: two case studies of resonant Hamiltonian systems , 1998 .

[14]  Jörg Härterich Cascades of reversible homoclinic orbits to a saddle-focus equilibrium , 1998 .

[15]  J. Lamb,et al.  On symmetric attractors in reversible dynamical systems , 1998 .

[16]  J. M. T. Thompson,et al.  Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods , 1998 .

[17]  Poisson structure of the reversible 1:1 resonance , 1998 .

[18]  C. Lim,et al.  Time-reversible and equivariant pitchfork bifurcation , 1998 .

[19]  M. Sevryuk The finite-dimensional reversible KAM theory , 1998 .

[20]  Symmetric singularities of reversible vector fields in dimension three , 1998 .

[21]  M. Matveyev Reversible systems with first integrals , 1998 .

[22]  Generating functions for dynamical systems with symmetries, integrals, and differential invariants , 1998 .

[23]  Hendrik Broer,et al.  A reversible bifurcation analysis of the inverted pendulum , 1998 .

[24]  A. Vulpiani,et al.  Time-Reversible Dynamical Systems for Turbulence , 1997, chao-dyn/9710024.

[25]  T. K. Roy,et al.  Resonant collisions in four-dimensional reversible maps: a description of scenarios , 1997, chao-dyn/9706006.

[26]  BIN LIU THE STABILITY OF THE EQUILIBRIUM OF REVERSIBLE SYSTEMS , 1998 .

[27]  B. Cano,et al.  Error Growth in the Numerical Integration of Periodic Orbits, with Application to Hamiltonian and Reversible Systems , 1997 .

[28]  Björn Sandstede,et al.  Existence and stability of N -pulses on optical fibers with phase-sensitive amplifiers , 1997 .

[29]  J. Knobloch Bifurcation of degenerate homoclinic orbits in reversible and conservative systems , 1997 .

[30]  Harald A. Posch,et al.  Time-reversible dissipative attractors in three and four phase-space dimensions , 1997 .

[31]  H. Rodrigues,et al.  The hartman-grobman theorem for reversible systems on banach spaces , 1997 .

[32]  G. Iooss Existence d'orbites homoclines à un équilibre elliptique, pour un système réversible , 1997 .

[33]  Clodoaldo Grotta Ragazzo,et al.  On the Stability of Double Homoclinic Loops , 1997 .

[34]  M. Baake,et al.  Reversing symmetry group of and matrices with connections to cat maps and trace maps , 1997 .

[35]  THE INVERSE-SIMILARITY PROBLEM FOR REAL ORTHOGONAL MATRICES , 1997 .

[36]  T. Maxwell Heteroclinic chains for a reversible Hamiltonian system , 1997 .

[37]  Bifurcations of symmetric periodic orbits near equilibrium in reversible systems , 1997 .

[38]  L. Glebsky,et al.  Instability of small stationary localized solutions to a class of reversible 1+1 PDEs , 1997 .

[39]  Bifurcation of Homoclinic Structures: I. Finite Difference Approximation and Mechanisms for Spurious Solutions , 1997 .

[40]  Robert L. Devaney,et al.  The Dynamics of a Piecewise Linear Map and its Smooth Approximation , 1997 .

[41]  Marco Antonio Teixeira Singularities of reversible vector fields , 1997 .

[42]  T. Bridges Multi-symplectic structures and wave propagation , 1997, Mathematical Proceedings of the Cambridge Philosophical Society.

[43]  Notes , 1989, Fin-de-Siècle Splendor.

[44]  J. Roberts Some Characterisations of Low-dimensional Dynamical Systems with Time-reversal Symmetry , 1997 .

[45]  M. Baake,et al.  Reversing symmetry group of Gl ( 2 , Z ) and PGl ( 2 , Z ) matrices with connections to cat maps and trace maps , 1997 .

[46]  Сохранение и бифуркация инвариантного тора векторного поля@@@Conservation and bifurcation of an invariant torus of a vector field , 1997 .

[47]  On the Doubling Period Reversible Cusps in R3 , 1997 .

[48]  Generic bifurcation of reversible vector fields on a 2-dimensional manifold , 1997 .

[49]  J. Knobloch,et al.  Fakultt at F Ur Mathematik 98684 Ilmenau Bifurcation of Degenerate Homoclinics in Reversible and Conservative Systems , 1997 .

[50]  Jj Org,et al.  Cascades of Reversible Homoclinic Orbits to a Saddle-focus Equilibrium , 1997 .

[51]  Ernst Hairer,et al.  Reversible Long-Term Integration with Variable Stepsizes , 1997, SIAM J. Sci. Comput..

[52]  George Huitema,et al.  Quasi-Periodic Motions in Families of Dynamical Systems: Order amidst Chaos , 2002 .

[53]  J. Kumičák,et al.  The dynamics of thermodynamics , 1996, chao-dyn/9612026.

[54]  A. R. Champneys,et al.  A multiplicity of localized buckling modes for twisted rod equations , 1996, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[55]  M. Golubitsky,et al.  Symmetries of periodic solutions for planar potential systems , 1996 .

[56]  A. Mielke,et al.  Dynamics of Nonlinear Waves in Dissipative Systems Reduction, Bifurcation and Stability , 1996 .

[57]  G. Dewel,et al.  SUBHARMONIC AND STRONG RESONANCES THROUGH COUPLING WITH A ZERO MODE , 1996 .

[58]  J. Lamb Area-preserving dynamics that is not reversible , 1996 .

[59]  Bernold Fiedler,et al.  COALESCENCE OF REVERSIBLE HOMOCLINIC ORBITS CAUSES ELLIPTIC RESONANCE , 1996 .

[60]  A stratum of cubic vector fields with an integrable saddle and symmetry , 1996 .

[61]  M. Field,et al.  Symmetric Attractors for Diffeomorphisms and Flows , 1996 .

[62]  Versal Deformations and Normal Forms for Reversible and Hamiltonian Linear Systems , 1996 .

[63]  Bernold Fiedler,et al.  Homotopy Invariants of Time Reversible Periodic Orbits I. Theory , 1996 .

[64]  Bernold Fiedler,et al.  Homotopy Invariants of Time Reversible Periodic Orbits II. Towards Applications , 1996 .

[65]  Wen D. Chang,et al.  Euler-Poisson equations and existence of quasi-periodic motions of heavy tops , 1996 .

[66]  Jeroen S. W. Lamb,et al.  Local bifurcations ink-symmetric dynamical systems , 1996 .

[67]  On the stability boundaries of linear periodic Hamiltonian or reversible differential equations , 1996 .

[68]  I. Percival,et al.  An iterated implicit complex map , 1996 .

[69]  Hoover,et al.  Time-reversible dissipative ergodic maps. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[70]  D. Rudolph,et al.  Ergodic transformations conjugate to their inverses by involutions , 1996, Ergodic Theory and Dynamical Systems.

[71]  Pattern formation in reaction-diffusion systems with $D_2$-symmetric kinetics , 1996 .

[72]  Xianghong Gong Fixed points of elliptic reversible transformations with integrals , 1995, Ergodic Theory and Dynamical Systems.

[73]  Jeroen S W Lamb Local bifurcations in k-symmetric dynamical systems , 1996 .

[74]  George Huitema,et al.  Families of quasi-periodic motions in dynamical systems depending on parameters , 1996 .

[75]  André Vanderbauwhede,et al.  A general reduction method for periodic solutions in conservative and reversible systems , 1996 .

[76]  V. Tkhai INVARIANT SETS AND SYMMETRIC PERIODIC MOTIONS OF REVERSIBLE MECHANICAL SYSTEMS , 1996 .

[77]  N. Namachchivaya,et al.  Some aspects of destabilization in reversible dynamical systems with application to follower forces , 1996 .

[78]  M. Lemanczyk,et al.  Transformations conjugate to their inverses have even essential values , 1996 .

[79]  Ergodic Theory of ℤ d Actions: The structure of ergodic transformations conjugate to their inverses , 1996 .

[80]  Symplecticity, reversibility and elliptic operators , 1996 .

[81]  J. Lamb,et al.  On symmetric ω-limit sets in reversible flows , 1996 .

[82]  G. Iooss,et al.  Capillary gravity waves on the free surface of an inviscid fluid of infinite depth. Existence of solitary waves , 1996 .

[83]  N. Sri Namachchivaya,et al.  Global dynamics of parametrically excited nonlinear reversible systems with nonsemisimple 1:1 resonance , 1995 .

[84]  P. Gaspard,et al.  Fick's law and fractality of nonequilibrium stationary states in a reversible multibaker map , 1995 .

[85]  Ray Brown Horseshoes in the measure-preserving Hénon map , 1995, Ergodic Theory and Dynamical Systems.

[86]  G. Quispel,et al.  Cyclic reversing k-symmetry groups , 1995 .

[87]  Shui-Nee Chow,et al.  Aubry-Mather theorem and quasiperiodic orbits for time dependent reversible systems , 1995 .

[88]  Stability of Normal Modes and Subharmonic Bifurcations in the 3-Body Stokeslet Problem , 1995 .

[89]  Mark Levi,et al.  Geometrical aspects of stability theory for Hill's equations , 1995 .

[90]  M. Sevryuk The iteration-approximation decoupling in the reversible KAM theory. , 1995, Chaos.

[91]  W. Langford,et al.  Normal forms and homoclinic chaos , 1995 .

[92]  T. K. Roy,et al.  Fourth order resonant collisions of multipliers in reversible maps: period-4 orbits and invariant curves , 1995 .

[93]  Reversible dynamical systems: dissipation-induced destabilization and follower forces , 1995 .

[94]  J. Lamb,et al.  Periodic orbits in k -symmetric dynamical systems , 1995 .

[95]  M. B. Sevryuk,et al.  Kam-stable Hamiltonians , 1995 .

[96]  J Hermans,et al.  A symmetric sphere rolling on a surface , 1995 .

[97]  J. Lamb,et al.  Self-similarity of period-doubling branching 3-D reversible mappings , 1995 .

[98]  Resonant normal modes for time-reversible, equivariant vectorfields , 1995 .

[99]  K. V. Rerikh Non-algebraic integrability of the Chew-Low reversible dynamical system of the Cremona type and the relation with the 7th Hilbert problem (non-resonant case) , 1995 .

[100]  Resonant driving and k-symmetry , 1995 .

[101]  Harry Dankowicz,et al.  The Existence of Transverse Homoclinic Points in the Sitnikov Problem , 1995 .

[102]  Pascal Chossat,et al.  The 1:2 resonance withO(2) symmetry and its applications in hydrodynamics , 1995 .

[103]  Stability and Pattern of Bifurcating Steady States in Systems with Double Involution , 1995 .

[104]  J. Lamb,et al.  Local bifurcations on the plane with reversing point group symmetry , 1995 .

[105]  E. Cohen,et al.  Dynamical ensembles in stationary states , 1995, chao-dyn/9501015.

[106]  I. Prigogine WHY IRREVERSIBILITY? THE FORMULATION OF CLASSICAL AND QUANTUM MECHANICS FOR NONINTEGRABLE SYSTEMS , 1995 .

[107]  G. Iooss,et al.  A codimension 2 Bifurcation for reversible Vector Fields , 1995 .

[108]  J. G. Yan Formation and deformation of patterns through diffusion , 1995 .

[109]  Unfoldings of quasi-periodic tori in reversible systems , 1995 .

[110]  Non-linear oscillations of reversible systems. , 1995 .

[111]  Jerrold E. Marsden,et al.  The constrained Liapunov-Schmidt procedure and periodic orbits , 1995 .

[112]  Matthew,et al.  On symmetric !-limit sets in reversible , 1995 .

[113]  Robert I. McLachlan,et al.  On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods , 1995, SIAM J. Sci. Comput..

[114]  Alan R. Champneys,et al.  Subsidiary homoclinic orbits to a saddle focus for reversible systems , 1994 .

[115]  P. Rabinowitz Heteroclinics for a reversible Hamiltonian system , 1994, Ergodic Theory and Dynamical Systems.

[116]  S. Bullett,et al.  Mating quadratic maps with the modular group , 1994 .

[117]  J. Maillard,et al.  Hyperbolic Coxeter groups for triangular Potts models , 1994 .

[118]  Robert S. MacKay,et al.  Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators , 1994 .

[119]  M. N. Vrahatis,et al.  2D universality of period-doubling bifurcations in 3D conservative reversible mappings , 1994 .

[120]  H. Zoladek,et al.  The classification of reversible cubic systems with center , 1994 .

[121]  You Jiangong,et al.  Quasiperiodic solutions for nonlinear differential equations of second order with symmetry , 1994 .

[122]  G. Gaeta Normal forms of reversible dynamical systems , 1994 .

[123]  J. A. d'Auriac,et al.  Phase diagram of a six-state chiral Potts model , 1994 .

[124]  DETERMINANTAL IDENTITIES ON INTEGRABLE MAPPINGS , 1994 .

[125]  G. R. W. Quispel,et al.  Reversing k-symmetries in dynamical systems , 1994 .

[126]  A. Mielke Essential Manifolds for an Elliptic Problem in an Infinite Strip , 1994 .

[127]  R. MacKay,et al.  The one to two-hole transition for cantori , 1994 .

[128]  The system of two spinning disks in the torus , 1994 .

[129]  Hoover,et al.  Second-law irreversibility and phase-space dimensionality loss from time-reversible nonequilibrium steady-state Lyapunov spectra. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[130]  G. R. W. Quispel,et al.  Tupling in three-dimensional reversible mappings , 1994 .

[131]  Geometric Aspects of Degenerate Modulation Equations , 1994 .

[132]  M. Baake,et al.  Trace maps as 3D reversible dynamical systems with an invariant , 1994 .

[133]  P. Rabinowitz Heteroclinics for a reversible Hamiltonian system. II , 1994, Differential and Integral Equations.

[134]  J. Lamb Stochastic webs with fourfold rotation symmetry , 1994 .

[135]  STABILITY OF A PARABOLIC FIXED POINT OF REVERSIBLE MAPPINGS , 1994 .

[136]  Some problems of the stability of a reversible system with a small parameter , 1994 .

[137]  Hopf Bifurcation at k-Fold Resonances in Equivariant Reversible Systems* , 1994 .

[138]  M. Sevryuk New Results in the Reversible Kam Theory , 1994 .

[139]  A. Jacquemard,et al.  Bifurcation of singularities near reversible systems. , 1994 .

[140]  M. Dellnitz,et al.  Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom , 1994 .

[141]  V. A. Brusin Global stabilization of a system consisting of a reversible pendulum on a trolley when the pendulum is affected by an unmeasurable disturbance , 1994 .

[142]  Hamiltonian Structure of the Reversible Nonsemisimple 1:1 Resonance , 1994 .

[143]  Shaun Bullett,et al.  A Gallery of Iterated Correspondences , 1994, Exp. Math..

[144]  Bifurcation at 1:1 resonance in a reversible system using the 3- jet of the normal form , 1993 .

[145]  Bifurcation from a periodic orbit for a strongly resonant reversible autonomous vector field , 1993 .

[146]  Singularity Theory and Equivariant Symplectic Maps , 1993 .

[147]  G. Quispel,et al.  KAM theorems for the product of two involutions of different types. , 1993, Chaos.

[148]  Alan R. Champneys,et al.  Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems , 1993 .

[149]  Robert S. MacKay,et al.  Renormalisation in Area-Preserving Maps , 1993 .

[150]  J. Lamb,et al.  Conditions for local (reversing) symmetries in dynamical systems , 1993 .

[151]  T. K. Roy,et al.  Hopf bifurcation in four-dimensional reversible maps and renormalisation equations , 1993 .

[152]  Stability of equilibria for a class of time-reversible D n x O (2)-symmetric homogeneous vector fields , 1993 .

[153]  J. Lamb Crystallographic symmetries of stochastic webs , 1993 .

[154]  G. Iooss,et al.  Capillary-gravity solitary waves with damped oscillations , 1993 .

[155]  Small-angle Krein collisions in a family of four-dimensional reversible maps. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[156]  A. Davie,et al.  Period-doubling in two-parameter families , 1993 .

[157]  M. Sevryuk New cases of quasiperiodic motions in reversible systems. , 1993, Chaos.

[158]  V. Gonchar,et al.  The interaction between resonances and an attractor in a reversible dynamic system , 1993 .

[159]  J. Yan Existence of Stable Spatially Periodic Steady States in Coupled Reaction-Diffusion Equations , 1993 .

[160]  G. Iooss,et al.  Perturbed Homoclinic Solutions in Reversible 1:1 Resonance Vector Fields , 1993 .

[161]  Bruno Eckhardt,et al.  Symmetry decomposition of chaotic dynamics , 1993, chao-dyn/9303016.

[162]  M. Sevryuk,et al.  Stability of invariant curves in four-dimensional reversible mappings near 1:1 resonance , 1993 .

[163]  Alan R. Champneys,et al.  Hunting for homoclinic orbits in reversible systems: A shooting technique , 1993, Adv. Comput. Math..

[164]  The stability of periodic reversible systems , 1993 .

[165]  The stability of the symmetric equilibrium positions of a reversible system , 1993 .

[166]  Martin Golubitsky,et al.  Order in Disorder. (Book Reviews: Symmetry in Chaos. A Search for Pattern in Mathematics, Art and Nature.) , 1993 .

[167]  Critically Finite Correspondences and Subgroups of the Modular Group , 1992 .

[168]  R. MacKay,et al.  Uniformly travelling water waves from a dynamical systems viewpoint: some insights into bifurcations from Stokes’ family , 1992, Journal of Fluid Mechanics.

[169]  G. R. W. Quispel,et al.  Chaos and time-reversal symmetry. Order and chaos in reversible dynamical systems , 1992 .

[170]  M. Sevryuk Reversible linear systems and their versal deformations , 1992 .

[171]  J. Stark,et al.  Locally most robust circles and boundary circles for area-preserving maps , 1992 .

[172]  John N. Elgin,et al.  Travelling-waves of the Kuramoto-Sivashinsky, equation: period-multiplying bifurcations , 1992 .

[173]  SOME CHARACTERISTIC FEATURES IN THE PATTERN OF BIFURCATING STEADY STATES IN COUPLED REACTION-DIFFUSION SYSTEMS , 1992 .

[174]  Y. Wan Codimension two bifurcations of symmetric cycles in Hamiltonian systems with an antisymplectic involution , 1992 .

[175]  Bernold Fiedler,et al.  Homoclinic period blow-up in reversible and conservative systems , 1992 .

[176]  Jeroen S. W. Lamb,et al.  Reversing symmetries in dynamical systems , 1992 .

[177]  H. Capel,et al.  Area preserving mappings that are not reversible , 1992 .

[178]  Inverted period-doubling sequences in four-dimensional reversible maps and solutions to the renormalization equations. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[179]  A. Mielke,et al.  Time-periodic Ginzburg-Landau equations for one dimensional patterns with large wave length , 1992 .

[180]  A spectral theorem for reversible second order equations with periodic coefficients , 1992 .

[181]  Branching of periodic solutions in time-reversible systems , 1992 .

[182]  Klaus Kirchgässner,et al.  Water waves for small surface tension: an approach via normal form , 1992, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[183]  R. MacKay Greene's residue criterion , 1992 .

[184]  Controllability and stabilization of programmed motions of reversible mechanical and electromechanical systems , 1992 .

[185]  Poisson stability of reversible systems , 1992 .

[186]  Symplectic reversible maps, tiles and chaos , 1992 .

[187]  V. Tkhai,et al.  Reversible systems. Stability at 1:1 resonance , 1992 .

[188]  P. Holmes,et al.  Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle-center , 1992 .

[189]  Hendrik Broer,et al.  Geometry and analysis in nonlinear dynamics , 1992 .

[190]  Heteroclinic cycles and periodic orbits in reversible systems , 1992 .

[191]  John N. Elgin,et al.  Noose bifurcation of periodic orbits , 1991 .

[192]  Roy,et al.  Reversible Hopf bifurcation in four-dimensional maps. , 1991, Physical Review A. Atomic, Molecular, and Optical Physics.

[193]  J. Crawford Introduction to bifurcation theory , 1991 .

[194]  Bin Liu,et al.  AN APPLICATION OF KAM THEOREM OF REVERSIBLE SYSTEMS , 1991 .

[195]  N. Margolus,et al.  Invertible cellular automata: a review , 1991 .

[196]  M. Sevryuk Lower-dimensional tori in reversible systems. , 1991, Chaos.

[197]  J. Furter On the bifurcation of subharmonics in reversible systems , 1991 .

[198]  Caustics in time reversible Hamiltonian systems , 1991 .

[199]  The generation of spatio-temporal chaos in large aspect ratio hydrodynamics , 1991 .

[200]  A. Brown Conditions for local reversibility , 1991 .

[201]  M. Sevryuk,et al.  Bifurcations of families of invariant curves in four-dimensional reversible mappings , 1991 .

[202]  Tsang,et al.  Reversibility and noise sensitivity of Josephson arrays. , 1991, Physical review letters.

[203]  N. Kazarinoff,et al.  Spatially periodic steady-state solutions of a reversible system at strong and subharmonic resonances , 1991 .

[204]  Alexander Mielke,et al.  Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders , 1991 .

[205]  S. Strogatz,et al.  Dynamics of a globally coupled oscillator array , 1991 .

[206]  Martin Golubitsky,et al.  Time-reversibility and particle sedimentation , 1991 .

[207]  V. Gonchar,et al.  Dynamics and stochasticity in a reversible system describing interaction of point vortices with a potential wave , 1991 .

[208]  Phillip Kent,et al.  A Shilnikov-type analysis in a system with symmetry , 1991 .

[209]  G. Quispel,et al.  Conservative Versus Reversible Dynamical Systems , 1991 .

[210]  C. Scovel Symplectic Numerical Integration of Hamiltonian Systems , 1991 .

[211]  S. Bullett Dynamics of the arithmetic-geometric mean , 1991 .

[212]  The reversibility of mechanical systems , 1991 .

[213]  F. Haake Quantum signatures of chaos , 1991 .

[214]  A. Mielke Hamiltonian and Lagrangian Flows on Center Manifolds , 1991 .

[215]  J. Roberts Order and chaos in reversible dynamical systems , 1990, Bulletin of the Australian Mathematical Society.

[216]  Marco Antonio Teixeira,et al.  Stability conditions for discontinuous vector fields , 1990 .

[217]  M. Sevryuk Invariant m-dimensional tori of reversible systems with phase space of dimension greater than 2m , 1990 .

[218]  E. Fontich,et al.  Transversal homoclinic points of a class of conservative diffeomorphisms , 1990 .

[219]  J. Wilbrink New fixed point of the renormalisation operator associated with the recurrence of invariant circles in generic Hamiltonian maps , 1990 .

[220]  G. Iooss,et al.  Bifurcation of spatially quasi-periodic solutions in hydrodynamic stability problems , 1990 .

[221]  Ian Stewart,et al.  Existence of nonlinear normal modes of symmetric Hamiltonian systems , 1990 .

[222]  P. Richter,et al.  Classical chaotic scattering-periodic orbits, symmetries, multifractal invariant sets , 1990 .

[223]  A. Vanderbauwhede Subharmonic branching in reversible systems , 1990 .

[224]  G. Quispel,et al.  BIFURCATIONS IN TWO-DIMENSIONAL REVERSIBLE MAPS , 1990 .

[225]  Symmetry in regular motion; Relation to chaos , 1990 .

[226]  J. M. Greene,et al.  Higher-order fixed points of the renormalisation operator for invariant circles , 1990 .

[227]  P. Richter,et al.  A breathing chaos , 1990 .

[228]  J Montaldi,et al.  Stability of nonlinear normal modes of symmetric Hamiltonian systems , 1990 .

[229]  Hopf bifurcation for equivariant conservative and time-reversible systems , 1990 .

[230]  Heagy,et al.  Dynamics of an impulsively driven Morse oscillator. , 1990, Physical Review A. Atomic, Molecular, and Optical Physics.

[231]  G. Quispel,et al.  Local reversibility in dynamical systems , 1989 .

[232]  A. Osbaldestin,et al.  Renormalisation in implicit complex maps , 1989 .

[233]  J. Meiss,et al.  Periodic orbits for reversible, symplectic mappings , 1989 .

[234]  Necessary and sufficient conditions for existence of periodic solutions of n -dimensional dynamical systems , 1989 .

[235]  M. Sevryuk Stationary and nonstationary stability of periodic solutions of reversible systems , 1989 .

[236]  Tadatsugu Hatori,et al.  Stochasticity and Symmetry of the Standard Map , 1989 .

[237]  G. Quispel,et al.  Conservative and dissipative behaviour in reversible dynamical systems , 1989 .

[238]  Y. Yamaguchi,et al.  Coexistence of symmetric periodic points in the standard map , 1989 .

[239]  E. Piña,et al.  Symmetries of the quasi-crystal mapping , 1989 .

[240]  André Vanderbauwhede,et al.  Centre Manifolds, Normal Forms and Elementary Bifurcations , 1989 .

[241]  C. Thompson,et al.  Integrable mappings and soliton equations II , 1989 .

[242]  Chjan C. Lim,et al.  Periodic solutions for three sedimenting spheres , 1988 .

[243]  G. Quispel,et al.  Reversible mappings of the plane , 1988 .

[244]  R. MacKay Exact results for an approximate renormalisation scheme and some predictions for the breakup of invariant ori , 1988 .

[245]  A. Giorgilli,et al.  Estimates for normal forms of differential equations near an equilibrium point , 1988 .

[246]  Jean-Jacques Gervais Bifurcations of subharmonic solutions in reversible systems , 1988 .

[247]  J. Mao Period doubling in six-dimensional symmetric volume-preserving maps , 1988 .

[248]  C. Malta,et al.  Isochronous and period doubling bifurcations of periodic solutions of non-integrable Hamiltonian systems with reflexion symmetries , 1988 .

[249]  S. Bullett Dynamics of quadratic correspondences , 1988 .

[250]  O. Piro,et al.  Passive scalars, three-dimensional volume-preserving maps, and chaos , 1988 .

[251]  C. Thompson,et al.  Integrable mappings and soliton equations , 1988 .

[252]  M. Levi,et al.  Dynamical systems approaches to nonlinear problems in systems and circuits , 1988 .

[253]  M. Baranger,et al.  Bifurcations of periodic trajectories in non-integrable Hamiltonian systems with two degrees of freedom: Numerical and analytical results , 1987 .

[254]  Herbert Sachs,et al.  The Physics of Time Reversal , 1987 .

[255]  M. Berry The Bakerian Lecture, 1987. Quantum chaology , 1987, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[256]  M. Sevryuk,et al.  COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On invariant tori of reversible systems in the neighbourhood of an equilibrium position , 1987 .

[257]  H. Posch,et al.  Resolution of Loschmidt's paradox: The origin of irreversible behavior in reversible atomistic dynamics. , 1987, Physical review letters.

[258]  E. Piña,et al.  On the symmetry lines of the standard mapping , 1987 .

[259]  J. Scheurle Bifurcation of quasi-periodic solutions from equilibrium points of reversible dynamical systems , 1987 .

[260]  Paul H. Rabinowitz,et al.  On the existence of periodic solutions for a class of symetric Hamiltonian systems , 1987 .

[261]  Y. Yamaguchi,et al.  Coexistence of periodic points in reversible dynamical systems on a surface , 1987 .

[262]  Mao,et al.  New Feigenbaum constants for four-dimensional volume-preserving symmetric maps. , 1987, Physical review. A, General physics.

[263]  R. MacKay Instability of vortex streets , 1987 .

[264]  R. Devaney An Introduction to Chaotic Dynamical Systems , 1990 .

[265]  Meiss Class renormalization: Islands around islands. , 1986, Physical review. A, General physics.

[266]  Bifurcation of subharmonic solutions in time-reversible systems , 1986 .

[267]  Shaun Bullett,et al.  Invariant circles for the piecewise linear standard map , 1986 .

[268]  Badii,et al.  Coexistence of conservative and dissipative behavior in reversible dynamical systems. , 1986, Physical review. A, General physics.

[269]  Hirshman,et al.  Consequences of time-reversal symmetry for the electric field scaling of transport in stellarators. , 1986, Physical review letters.

[270]  R. Churchill,et al.  Homoclinic and heteroclinic orbits of reversible vectorfields under perturbation , 1986, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[271]  R. MacKay Transition to chaos for area-preserving maps , 1986 .

[272]  K. Hepp,et al.  Nonlinear dynamics aspects of particle accelerators , 1986 .

[273]  M. Feigenbaum,et al.  Trajectory scaling function for bifurcations in area-preserving maps on the plane , 1985 .

[274]  M. Golubitsky,et al.  Singularities and groups in bifurcation theory , 1985 .

[275]  B. Malomed,et al.  Higher-order bifurcations in distributed kinetic systems with aperiodic instability , 1984 .

[276]  R. Devaney Homoclinic bifurcations and the area-conserving Henon mapping. , 1984 .

[277]  Ilya Prigogine,et al.  Order out of chaos , 1984 .

[278]  M. Kummer,et al.  On averaging, reduction, and symmetry in hamiltonian systems , 1983 .

[279]  A. J. van der Schaft,et al.  Symmetries, conservation laws, and time reversibility for Hamiltonian systems with external forces , 1983 .

[280]  Jürgen Moser,et al.  Normal forms for real surfaces in C2 near complex tangents and hyperbolic surface transformations , 1983 .

[281]  R. MacKay A renormalization approach to invariant circles in area-preserving maps , 1983 .

[282]  H. Massey,et al.  PURE AND APPLIED PHYSICS , 1983 .

[283]  R. Rimmer,et al.  Generic Bifurcations for Involutory Area Preserving Maps , 1983 .

[284]  C. W. Horton,et al.  Long-time prediction in dynamics , 1983 .

[285]  J. Brilla Trends in applications of pure mathematics to mechanics , 1983 .

[286]  K. Kirchgässner Homoclinic bifurcation of perturbed reversible systems , 1983 .

[287]  M. Renardy Bifurcation of singular solutions in reversible systems and applications to reaction - Diffusion equations , 1982 .

[288]  Quasi-periodic solutions of the plane three-body problem near Euler's orbits , 1982 .

[289]  J. Meiss,et al.  Flux-minimizing curves for reversible area-preserving maps , 1982 .

[290]  K. Kirchgässner Wave-solutions of reversible systems and applications , 1982 .

[291]  André Vanderbauwhede,et al.  Local bifurcation and symmetry , 1982 .

[292]  T. Bountis Period doubling bifurcations and universality in conservative systems , 1981 .

[293]  J. Eckmann,et al.  On universality for area-preserving maps of the plane , 1981 .

[294]  Hamiltonian Systems with a Discrete Symmetry , 1981 .

[295]  Local and simultaneous structural stability of certain diffeomorphisms , 1981 .

[296]  H. Broer,et al.  Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case , 1981 .

[297]  G. Benettin,et al.  Further results on universal properties in conservative dynamical systems , 1980 .

[298]  G. Benettin,et al.  Universal properties in conservative dynamical systems , 1980 .

[299]  V. Tkhai On stability of mechanical systems under the action of position forces , 1980 .

[300]  J. Scheurle Bifurcation of a stationary solution of a dynamical system into n-dimensional tori of quasiperiodic solutions , 1979 .

[301]  Über die Konstruktion Invarianter Tori, welche von Einer Stationären Grundlösung Eines Reversiblen Dynamischen Systems Abzweigen , 1979 .

[302]  R. Rimmer Symmetry and bifurcation of fixed points of area preserving maps , 1978 .

[303]  Linearization of reversible systems , 1977 .

[304]  R. D. Driver,et al.  Ordinary and Delay Differential Equations , 1977 .

[305]  R. Devaney Reversible diffeomorphisms and flows , 1976 .

[306]  J. Moser Stable and Random Motions in Dynamical Systems: With Special Emphasis on Celestial Mechanics. , 1973 .

[307]  J. Craggs Applied Mathematical Sciences , 1973 .

[308]  G. E. Bredon Introduction to compact transformation groups , 1972 .

[309]  L. Boltzmann Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen , 1970 .

[310]  E. A. Mason,et al.  Kinetic Theory. Vol. 2. Irreversible Processes , 1967 .

[311]  Jürgen Moser,et al.  Convergent series expansions for quasi-periodic motions , 1967 .

[312]  P. Hartman Ordinary Differential Equations , 1965 .

[313]  E. Wigner,et al.  Book Reviews: Group Theory. And Its Application to the Quantum Mechanics of Atomic Spectra , 1959 .

[314]  D. Montgomery,et al.  Topological Transformation Groups , 1956 .

[315]  Monroe H. Martin The restricted problem of three bodies , 1942 .

[316]  C. Herring Effect of Time-Reversal Symmetry on Energy Bands of Crystals , 1937 .

[317]  G. B. Price On reversible dynamical systems , 1935 .

[318]  George D. Birkhoff,et al.  The restricted problem of three bodies , 1915 .

[319]  J. Gibbs Elementary Principles in Statistical Mechanics , 1902 .