Jumps of Energy Near a Homoclinic Set of a Slowly Time Dependent Hamiltonian System

We consider a Hamiltonian system depending on a parameter which slowly changes with rate ε ≪ 1. If trajectories of the frozen autonomous system are periodic, then the system has adiabatic invariant which changes much slower than energy. For a system with 1 degree of freedom and a figure 8 separatrix...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Regular & chaotic dynamics 2019-11, Vol.24 (6), p.682-703
1. Verfasser:	Bolotin, Sergey V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Adiabatic flow Chaos theory Degrees of freedom Dynamical Systems and Ergodic Theory Energy Hamiltonian functions Invariants Mathematics Mathematics and Statistics Time dependence Trajectories
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!