Detection of symmetric homoclinic orbits to saddle-centres in reversible systems
暂无分享,去创建一个
[1] B. Malomed,et al. Embedded solitons : solitary waves in resonance with the linear spectrum , 2000, nlin/0005056.
[2] Milton Abramowitz,et al. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .
[3] Kenneth R. Meyer,et al. Introduction to Hamiltonian Dynamical Systems and the N-Body Problem , 1991 .
[4] Helmut Rüßmann. Über das Verhalten analytischer Hamiltonscher Differentialgleichungen in der Nähe einer Gleichgewichtslösung , 1964 .
[5] Malomed,et al. Embedded solitons in a three-wave system , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[6] R. Devaney. Reversible diffeomorphisms and flows , 1976 .
[7] S. Wiggins. Introduction to Applied Nonlinear Dynamical Systems and Chaos , 1989 .
[8] Juan José Morales Ruiz,et al. Differential Galois Theory and Non-Integrability of Hamiltonian Systems , 1999 .
[9] K. Yagasaki. Horseshoes in Two-Degree-of-Freedom Hamiltonian Systems with Saddle-Centers , 2000 .
[10] The method of Melnikov for perturbations of multi-degree-of-freedom Hamiltonian systems , 1999 .
[11] J. Moser,et al. On the generalization of a theorem of A. Liapounoff , 1958 .
[12] C. Ragazzo. Nonintegrability of some Hamiltonian systems, scattering and analytic continuation , 1994 .
[13] T. MacRobert. Higher Transcendental Functions , 1955, Nature.
[14] A. Champneys,et al. Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems , 2000 .
[15] Stephen Wolfram,et al. The Mathematica Book , 1996 .
[16] Clodoaldo Grotta Ragazzo,et al. IRREGULAR DYNAMICS AND HOMOCLINIC ORBITS TO HAMILTONIAN SADDLE CENTERS , 1997 .
[17] Thomas F. Fairgrieve,et al. AUTO 2000 : CONTINUATION AND BIFURCATION SOFTWARE FOR ORDINARY DIFFERENTIAL EQUATIONS (with HomCont) , 1997 .
[18] Kazuyuki Yagasaki,et al. Galoisian obstructions to integrability and Melnikov criteria for chaos in two-degree-of-freedom Hamiltonian systems with saddle centres , 2003 .
[19] P. Holmes,et al. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.
[20] Jianke Yang. Dynamics of Embedded Solitons in the Extended , 2001 .
[21] J. M. Peris,et al. On a Galoisian approach to the splitting of separatrices , 1999 .
[22] B. Malomed,et al. Stable localized vortex solitons. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[23] Jianke Yang. Dynamics of Embedded Solitons in the Extended Korteweg–de Vries Equations , 2001 .
[24] Accumulation of embedded solitons in systems with quadratic nonlinearity. , 2005, Chaos.
[25] Bernold Fiedler,et al. Homoclinic period blow-up in reversible and conservative systems , 1992 .
[26] P. Holmes,et al. Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle-center , 1992 .
[27] Pseudo-normal form near saddle-center or saddle-focus equilibria , 2005 .
[28] B. Malomed,et al. Embedded solitons: a new type of solitary wave , 2001 .
[29] M. Abramowitz,et al. Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .
[30] A. Valdés,et al. Pseudo-normal form near saddle-center or saddle-focus equilibria , 2003 .
[31] A. Erdélyi,et al. Higher Transcendental Functions , 1954 .