Bailout Embeddings, Targeting of KAM Orbits, and the Control of Hamiltonian Chaos

We present a novel technique, which we term bailout embedding, that can be used to target orbits having particular properties out of all orbits in a flow or map. We explicitly construct a bailout embedding for Hamiltonian systems so as to target KAM orbits. We show how the bailout dynamics is able t...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2001-11
Main Authors: Cartwright, Julyan H E, Magnasco, Marcelo O, Piro, Oreste
Format: Article
Language:English
Subjects:
Embedding
Flow mapping
Hamiltonian functions
Orbits
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present a novel technique, which we term bailout embedding, that can be used to target orbits having particular properties out of all orbits in a flow or map. We explicitly construct a bailout embedding for Hamiltonian systems so as to target KAM orbits. We show how the bailout dynamics is able to lock onto extremely small KAM islands in an ergodic sea.
ISSN:2331-8422
DOI:10.48550/arxiv.0111005