Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems

DOI10.1080/026811100418701zbMath1003.37033OpenAlexW1976112167MaRDI QIDQ4762956

Jörg Härterich, Alan R. Champneys

Publication date: 30 January 2003

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://research-information.bristol.ac.uk/en/publications/cascades-of-homoclinic-orbits-to-a-saddlecentre-for-reversible-and-perturbed-hamiltonian-systems(88ab112f-0345-4d8e-be9c-600dbbc4e435).html

zbMATH Keywords

Hamiltonianhomoclinic orbitsnonhyperbolic equilibriumsaddle-centreautonomous reversible systemsShilnikov-type analysis

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items

Generalized homoclinic solutions of a coupled Schrödinger system under a small perturbation, Solitons and cavitons in a nonlocal Whitham equation, Accumulation of embedded solitons in systems with quadratic nonlinearity, On the structure of an invertible system with a trajectory homoclinic to a saddle-center, Multi-pulse embedded solitons as bound states of quasi-solitons, Detecting stable-unstable nonlinear invariant manifold and homoclinic orbits in mechanical systems, Detection of symmetric homoclinic orbits to saddle-centres in reversible systems, Bifurcation of Homoclinic Orbits to a Saddle-Center in Reversible Systems, Bifurcations of travelling wave solutions in the discrete NLS equations, When gap solitons become embedded solitons: A generic unfolding

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