Slow passage through homoclinic orbits for the unfolding of a saddle-center bifurcation and the change in the adiabatic invariant
Authors:
- David C. DiminnieDDDavid C. Diminnie
- Richard HabermanRHRichard Haberman
- 1 February 2002
- journal article
- Published by Elsevier in Physica D: Nonlinear Phenomena
- Vol. 162 (1-2) , 34-52
Abstract
No abstract availableKeywords
This publication has 23 references indexed in Scilit:
- Chaos Near Resonance1999
- Chaotic advection in a cubic Stokes flowPhysica D: Nonlinear Phenomena, 1998
- Changes in the adiabatic invariant and streamline chaos in confined incompressible Stokes flowChaos: An Interdisciplinary Journal of Nonlinear Science, 1996
- The Adiabatic Invariant in Classical Mechanics1993
- Separatrix Crossing: Time-Invariant Potentials with DissipationSIAM Journal on Applied Mathematics, 1990
- Phase change between separatrix crossingsPhysica D: Nonlinear Phenomena, 1989
- Adiabatic-invariant change due to separatrix crossingPhysical Review A, 1986
- Averaging Methods in Nonlinear Dynamical Systems1985
- Singularities and Groups in Bifurcation Theory1985
- Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly PeriodicJournal of Mathematical Physics, 1962