Flow curvature manifolds for shaping chaotic attractors: Rossler-like systems

Abstract : Poincaré recognized that phase portraits are mainly structured around fixed points. Nevertheless, the knowledge of fixed points and their properties is not sufficient to determine the whole structure of chaotic attractors. In order to understand how chaotic attractors are shaped by singular sets of the differential equations governing the dynamics, flow curvature manifolds are computed. We show that the time dependent components of such manifolds structure Rossler-like chaotic attractors and may explain some limitation in the development of chaotic regimes.
Document type :
Journal articles
Complete list of metadatas

Cited literature [20 references]  Display  Hide  Download

https://hal-univ-tln.archives-ouvertes.fr/hal-01056202
Contributor : Jean-Marc Ginoux <>
Submitted on : Monday, August 18, 2014 - 9:31:32 AM
Last modification on : Thursday, February 7, 2019 - 4:49:59 PM
Long-term archiving on : Thursday, November 27, 2014 - 1:57:21 AM

Files

GinouxLetellier.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Jean-Marc Ginoux, Christophe Letellier. Flow curvature manifolds for shaping chaotic attractors: Rossler-like systems. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2009, 42 (28), pp.285101. ⟨10.1088/1751-8113/42/28/285101⟩. ⟨hal-01056202⟩

Share

Metrics

Record views

226

Files downloads

316