An algorithm to approach invariant curves

Authors
Citation
Cj. Yu et Je. Lee, An algorithm to approach invariant curves, PHYSICA D, 149(1-2), 2001, pp. 30-42
Citations number
9
Categorie Soggetti
Physics
Journal title
PHYSICA D
ISSN journal
01672789 → ACNP
Volume
149
Issue
1-2
Year of publication
2001
Pages
30 - 42
Database
ISI
SICI code
0167-2789(20010201)149:1-2<30:AATAIC>2.0.ZU;2-Q
Abstract
We develop an algorithm to identify invariant curves efficiently. In dynami cal systems, it helps do continuations of branches of quasi-periodic soluti ons smoothly in bifurcation diagrams. Several examples are demonstrated to provide the numerical evidence for the versatility of the algorithm. (C) 20 01 Elsevier Science B.V. All rights reserved.