Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1897279 | Physica D: Nonlinear Phenomena | 2011 | 22 Pages |
Abstract
⺠We study chaotic regions of area-preserving maps using suitable return models. ⺠Chaotic regions around separatrices are widely investigated. ⺠The separatrix map is used to quantitatively describe the dynamics in these regions. ⺠We introduce the biseparatrix map to study the dynamics in larger chaotic zones. ⺠Several examples illustrate how to use these return models for general systems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
C. Simó, A. Vieiro,