Chaos: An Introduction to Dynamical Systems
暂无分享,去创建一个
[1] José Carlos Goulart de Siqueira,et al. Differential Equations , 1919, Nature.
[2] J. Littlewood,et al. Some Fixed Point Theorems , 1951 .
[3] E. Coddington,et al. Theory of Ordinary Differential Equations , 1955 .
[4] N. G. Parke,et al. Ordinary Differential Equations. , 1958 .
[5] Y. Wong,et al. Differentiable Manifolds , 2009 .
[6] Barry Saltzman,et al. Finite Amplitude Free Convection as an Initial Value Problem—I , 1962 .
[7] William G. Chinn,et al. First Concepts of Topology: Existence Theorems in Dimension , 1966 .
[8] Ralph Abraham,et al. Foundations Of Mechanics , 2019 .
[9] V. I. Arnolʹd,et al. Ergodic problems of classical mechanics , 1968 .
[10] P. Brunovksý. One-parameter families of diffeomorphisms , 1971 .
[11] F. Takens,et al. On the nature of turbulence , 1971 .
[12] J. Yorke,et al. Period Three Implies Chaos , 1975 .
[13] O. Rössler. An equation for continuous chaos , 1976 .
[14] James A. Yorke,et al. Ergodic transformations from an interval into itself , 1978 .
[15] C. Conley. Isolated Invariant Sets and the Morse Index , 1978 .
[16] I. Good,et al. Fractals: Form, Chance and Dimension , 1978 .
[17] M. Feigenbaum. Quantitative universality for a class of nonlinear transformations , 1978 .
[18] Robert L. Devaney,et al. Shift automorphisms in the Hénon mapping , 1979, Hamiltonian Dynamical Systems.
[19] James A. Yorke,et al. Preturbulence: A regime observed in a fluid flow model of Lorenz , 1979 .
[20] C. Antzelevitch,et al. Phase resetting and annihilation of pacemaker activity in cardiac tissue. , 1979, Science.
[21] J. Eckmann,et al. Iterated maps on the interval as dynamical systems , 1980 .
[22] James P. Crutchfield,et al. Geometry from a Time Series , 1980 .
[23] A. Winfree. The geometry of biological time , 1991 .
[24] Y. Pomeau,et al. Intermittent transition to turbulence in dissipative dynamical systems , 1980 .
[25] M. Misiurewicz,et al. Periodic points and topological entropy of one dimensional maps , 1980 .
[26] P. Linsay. Period Doubling and Chaotic Behavior in a Driven Anharmonic Oscillator , 1981 .
[27] F. Takens. Detecting strange attractors in turbulence , 1981 .
[28] M. Giglio,et al. Transition to Chaotic Behavior via a Reproducible Sequence of Period-Doubling Bifurcations , 1981 .
[29] Ergodic Theory and Dynamical Systems II , 1982 .
[30] O. Lanford. A computer-assisted proof of the Feigenbaum conjectures , 1982 .
[31] H. Swinney,et al. Observation of a strange attractor , 1983 .
[32] R. Abraham,et al. Dynamics--the geometry of behavior , 1983 .
[33] Martin Braun. Differential equations and their applications , 1976 .
[34] C. Sparrow. The Fractal Geometry of Nature , 1984 .
[35] Robert Shaw,et al. The Dripping Faucet As A Model Chaotic System , 1984 .
[36] Van Buskirk R,et al. Observation of chaotic dynamics of coupled nonlinear oscillators. , 1985, Physical review. A, General physics.
[37] James A. Yorke,et al. Period doubling cascades of attractors: A prerequisite for horseshoes , 1985 .
[38] Peter H. Richter,et al. The Beauty of Fractals , 1988, 1988.
[39] R. Devaney. An Introduction to Chaotic Dynamical Systems , 1990 .
[40] James Gleick. Chaos: Making a New Science , 1987 .
[41] H. Swinney,et al. Universality, multiplicity, and the effect of iron impurities in the Belousov–Zhabotinskii reaction , 1987 .
[42] G. Sussman,et al. Numerical Evidence That the Motion of Pluto Is Chaotic , 1988, Science.
[43] From Clocks to Chaos: The Rhythms of Life , 1988 .
[44] Michael F. Barnsley,et al. Fractals everywhere , 1988 .
[45] J. Laskar. A numerical experiment on the chaotic behaviour of the Solar System , 1989, Nature.
[46] P. Cvitanović. Universality in Chaos , 1989 .
[47] E. A. Jackson,et al. Perspectives of nonlinear dynamics , 1990 .
[48] Minimal periods of discrete and smooth orbits , 1989 .
[49] R. Devaney,et al. Chaos and Fractals: The Mathematics Behind the Computer Graphics , 1989 .
[50] M. Tabor. Chaos and Integrability in Nonlinear Dynamics: An Introduction , 1989 .
[51] Carroll,et al. Synchronization in chaotic systems. , 1990, Physical review letters.
[52] Grebogi,et al. Shadowing of physical trajectories in chaotic dynamics: Containment and refinement. , 1990, Physical review letters.
[53] Bard Ermentrout,et al. Phaseplane, Version 3.0 , 1990 .
[54] Ditto,et al. Experimental control of chaos. , 1990, Physical review letters.
[55] James A. Yorke,et al. Basins of Wada , 1991 .
[56] Ralf Schweizer. Does God Play Dice? The Mathematics of Chaos, Ian Stewart. 1989. Basil Blackwell, Cambrdige, MA. 317 pages. ISBN: 0-631-16847-8. $19.95 , 1991 .
[57] L. Perko. Differential Equations and Dynamical Systems , 1991 .
[58] Glorieux,et al. Experimental investigation of the collision of Feigenbaum cascades in lasers. , 1991, Physical review. A, Atomic, molecular, and optical physics.
[59] Lennart Carleson,et al. The Dynamics of the Henon Map , 1991 .
[60] Kenneth R. Meyer,et al. Introduction to Hamiltonian Dynamical Systems and the N-Body Problem , 1991 .
[61] Francis C. Moon,et al. Chaotic and fractal dynamics , 1992 .
[62] G. Sussman,et al. Chaotic Evolution of the Solar System , 1992, Science.
[63] J. Yorke,et al. Accessible saddles on fractal basin boundaries , 1992, Ergodic Theory and Dynamical Systems.
[64] Denny Gulick. Encounters with Chaos , 1992 .
[65] A Garfinkel,et al. Controlling cardiac chaos. , 1992, Science.
[66] Roy,et al. Tracking unstable steady states: Extending the stability regime of a multimode laser system. , 1992, Physical review letters.
[67] Scott Tremaine,et al. On the reliability of gravitational N-body integrations , 1992 .
[68] Robert L. Devaney,et al. A First Course In Chaotic Dynamical Systems: Theory And Experiment , 1993 .
[69] M. Pagitsas,et al. Generalized Hopf, saddle-node infinite period bifurcations and excitability during the electrodissolution and passivation of iron in a sulfuric acid solution , 1993 .
[70] Glorieux,et al. Stabilization and characterization of unstable steady states in a laser. , 1993, Physical review. A, Atomic, molecular, and optical physics.
[71] Floris Takens,et al. Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations : fractal dimensions and infinitely many attractors , 1993 .
[72] Schreiber,et al. Nonlinear noise reduction: A case study on experimental data. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[73] J. Wisdom,et al. The Chaotic Obliquity of Mars , 1993, Science.
[74] J. Laskar,et al. The chaotic obliquity of the planets , 1993, Nature.
[75] E. Ott. Chaos in Dynamical Systems: Contents , 1993 .
[76] John H. Hubbard,et al. MacMath 9.2 - a dynamical systems software package for the Macintosh , 1993 .
[77] Sartorelli,et al. Crisis and intermittence in a leaky-faucet experiment. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[78] Carroll,et al. Experimental and Numerical Evidence for Riddled Basins in Coupled Chaotic Systems. , 1994, Physical review letters.
[79] Lawrence M. Ward,et al. On Chaotic Behavior , 1994 .
[80] Roy,et al. Experimental synchronization of chaotic lasers. , 1994, Physical review letters.
[81] Michael Frame,et al. Chaos Under Control: The Art and Science of Complexity , 1994 .
[82] Tracking unstable periodic orbits in a bronze ribbon experiment. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[83] Hiccups as a dynamical disease. , 1995, Chaos.
[84] R. Costantino,et al. Experimentally induced transitions in the dynamic behaviour of insect populations , 1995, Nature.
[85] J. Hale,et al. Methods of Bifurcation Theory , 1996 .
[86] The structure of basins of attraction and their trapping regions , 1997, Ergodic Theory and Dynamical Systems.
[87] D. Chillingworth. DYNAMICAL SYSTEMS: STABILITY, SYMBOLIC DYNAMICS AND CHAOS , 1998 .