TOPOLOGICAL-ENTROPY OF AUTONOMOUS FLOWS

Authors
BADII R
Citation
R. Badii, TOPOLOGICAL-ENTROPY OF AUTONOMOUS FLOWS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(5), 1996, pp. 4496-4499
Citations number
21
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
54
Issue
5
Year of publication
1996
Pages
4496 - 4499
Database
ISI
SICI code
1063-651X(1996)54:5<4496:TOAF>2.0.ZU;2-6
Abstract
The topological entropy of autonomous flows is evaluated by a method b ased on symbolic dynamics and on the thermodynamic formalism for nonli near dynamics. This technique, which applies to all generalized entrop ies K-q, reproduces a well-known formula for the metric entropy and cl arifies the relationship between a flow and the associated Poincare ma ps, beyond the straightforward case of periodically forced nonautonomo us systems. Numerical results for the Lorenz and Rossler systems are p resented and verified with an independent estimator.