Homoclinic and heteroclinic orbits of reversible vectorfields under perturbation

DOI10.1017/S030821050002641XzbMath0605.58036MaRDI QIDQ3742381

David L. Rod, Richard C. Churchill

Publication date: 1986

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian dynamical systemshomoclinic and heteroclinic orbitsperturbed vector fields

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items

Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems, Geometrical aspects of Ziglin's non-integrability theorem for complex Hamiltonian systems, CODIMENSION 3 HETEROCLINIC BIFURCATIONS WITH ORBIT AND INCLINATION FLIPS IN REVERSIBLE SYSTEMS, Invariant m-dimensional tori of reversible systems with phase space of dimension greater than 2m, Hierarchy of bifurcations of space-periodic structures in a nonlinear model of active dissipative media, Lower-dimensional tori in reversible systems, Symbolic dynamics for the Hénon-Heiles Hamiltonian on the critical level

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