Chaos near resonance
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Publication:1806110
zbMath1024.37002MaRDI QIDQ1806110
Publication date: 1 November 1999
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
Hamiltonian systemsrigid body motionmolecular dynamicshomoclinic bifurcationsresonant problemschaos near resonanceshomoclinic jumpingmulti-pulse Shilnikov manifolds
NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Resonance in context of PDEs (35B34) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)
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