Generating partition for the standard map
- 1 May 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 51 (5) , R3811-R3814
- https://doi.org/10.1103/physreve.51.r3811
Abstract
A procedure to obtain the symbolic dynamics for conservative dynamical systems is introduced with reference to the standard map in a strongly chaotic regime. The method extends an approach previously developed for highly dissipative systems. It is based on the construction of a generating partition from homoclinic tangencies and fibers of invariant manifolds. It is found that some arbitrariness in the construction of the partition is unavoidable.Keywords
All Related Versions
This publication has 2 references indexed in Scilit:
- Homoclinic tangencies, generating partitions and curvature of invariant manifoldsJournal of Physics A: General Physics, 1991
- GIBBS MEASURES IN ERGODIC THEORYRussian Mathematical Surveys, 1972