Global dynamics, phase space transport, orbits homoclinic to resonances, and applications

zbMath0791.58082MaRDI QIDQ1312884

Stephen Wiggins

Publication date: 25 January 1994

Published in: Fields Institute Monographs (Search for Journal in Brave)

zbMATH Keywords

Stokes flowperturbationsnonlinear Schrödinger equationHamiltonian systemsoscillationsMelnikov's method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Applications of dynamical systems (37N99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (8)

Global Melnikov theory in Hamiltonian systems with general time-dependent perturbations ⋮ Gain-loss-driven travelling waves in PT-symmetric nonlinear metamaterials ⋮ Numerical computation of connecting orbits on a manifold ⋮ Chaotic motion of the \(N\)-vortex problem on a sphere. I. Saddle-centers in two-degree-of-freedom Hamiltonians ⋮ Silnikov's orbit in coupled Duffing's systems ⋮ The homoclinic orbits in nonlinear Schrödinger equation ⋮ Truncation analysis for the derivative Schrödinger equation ⋮ Mel’nikov-Samoilenko adiabatic stability problem

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