Periodic and Homoclinic Motions in Forced, Coupled Oscillators
暂无分享,去创建一个
[1] V. Arnold. Mathematical Methods of Classical Mechanics , 1974 .
[2] Global Dynamics, Phase Space Transport, Orbits Homoclinic to Resonances, and Applications , 1993 .
[3] Lennart Carleson,et al. The Dynamics of the Henon Map , 1991 .
[4] K. Yagasaki. Homoclinic Tangles, Phase Locking, and Chaos in a Two-Frequency Perturbation of Duffing's Equation , 1999 .
[5] Stable manifolds in the method of averaging , 1988 .
[6] Philip Holmes,et al. Periodic orbits in slowly varying oscillators , 1987 .
[7] Kazuyuki Yagasaki,et al. The Melnikov Theory for Subharmonics and Their Bifurcations in Forced Oscillations , 1996, SIAM J. Appl. Math..
[8] S. Wiggins. Normally Hyperbolic Invariant Manifolds in Dynamical Systems , 1994 .
[9] P. Holmes,et al. Homoclinic Orbits, Subharmonics and Global Bifurcations in Forced Oscillations , 1981 .
[10] G. Kovačič. Singular perturbation theory for homoclinic orbits in a class of near-integrable dissipative systems , 1995 .
[11] F. Verhulst,et al. Averaging Methods in Nonlinear Dynamical Systems , 1985 .
[12] George Haller,et al. Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems , 1996 .
[13] George Haller,et al. Multi-pulse jumping orbits and homoclinic trees in a modal truncation of the damped-forced nonlinear Schro¨dinger equation , 1995 .
[14] K. Yagasaki. Chaotic motions near homoclinic manifolds and resonant tori in quasiperiodic perturbations of planar Hamiltonian systems , 1993 .
[15] P. Holmes,et al. The existence of arbitrarily many distinct periodic orbits in a two degree of freedom Hamiltonian system , 1985 .
[16] Chaotic dynamics of quasi-periodically forced oscillators detected by Melnikov's method , 1992 .
[17] P. Holmes,et al. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.
[18] N. Romero. Persistence of homoclinic tangencies in higher dimensions , 1995, Ergodic Theory and Dynamical Systems.
[19] S. Wiggins,et al. Orbits homoclinic to resonances: the Hamiltonian case , 1993 .
[20] Jerrold E. Marsden,et al. A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam , 1981 .
[21] H. C. Corben,et al. Classical Mechanics (2nd ed.) , 1961 .
[22] G. Kovačič. Singular perturbation theory for homoclinic orbits in a class of near-integrable Hamiltonian systems , 1993 .
[23] George Haller,et al. N-pulse homoclinic orbits in perturbations of resonant hamiltonian systems , 1995 .
[24] Floris Takens,et al. Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations : fractal dimensions and infinitely many attractors , 1993 .
[25] P. J. Holmes,et al. Resonance bands in a two degree of freedom Hamiltonian system , 1986 .
[26] Stephen Wiggins. Global Bifurcations and Chaos: Analytical Methods , 1988 .
[27] S. Wiggins. Introduction to Applied Nonlinear Dynamical Systems and Chaos , 1989 .
[28] Neil Fenichel. Persistence and Smoothness of Invariant Manifolds for Flows , 1971 .
[29] The method of Melnikov for perturbations of multi-degree-of-freedom Hamiltonian systems , 1999 .
[30] Marcelo Viana,et al. Abundance of strange attractors , 1993 .
[31] J. W. Humberston. Classical mechanics , 1980, Nature.
[32] G. Kovačič,et al. Orbits homoclinic to resonances, with an application to chaos in a model of the forced and damped sine-Gordon equation , 1992 .
[33] P. Byrd,et al. Handbook of Elliptic Integrals for Engineers and Physicists , 2014 .
[34] Marcelo Viana,et al. Strange attractors in higher dimensions , 1993 .