Homoclinic Orbits in a Four Dimensional Model of a Perturbed NLS Equation: A Geometric Singular Perturbation Study
- 1 January 1996
- book chapter
- Published by Springer Nature
Abstract
No abstract availableKeywords
This publication has 15 references indexed in Scilit:
- Singular Perturbation Theory for Homoclinic Orbits in a Class of Near- Integrable Dissipative SystemsSIAM Journal on Mathematical Analysis, 1995
- Whiskered Tori for Integrable Pde’s: Chaotic Behavior in Near Integrable Pde’sPublished by Springer Nature ,1995
- Tracking Invariant Manifolds with Differential Forms in Singularly Perturbed SystemsJournal of Differential Equations, 1994
- Orbits homoclinic to resonances, with an application to chaos in a model of the forced and damped sine-Gordon equationPhysica D: Nonlinear Phenomena, 1992
- Correlations between Chaos in a Perturbed Sine-Gordon Equation and a Truncated Model SystemSIAM Journal on Mathematical Analysis, 1990
- Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky EquationSIAM Journal on Applied Mathematics, 1990
- A modal representation of chaotic attractors for the driven, damped pendulum chainPhysics Letters A, 1990
- On bifurcations of a homoclinic “figure eight” of a multi-dimensional saddleRussian Mathematical Surveys, 1988
- Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector FieldsPublished by Springer Nature ,1983
- On a theorem of AnosovJournal of Differential Equations, 1969