Skip to Main content Skip to Navigation
Journal articles

Chaotic behavior analysis based on sliding bifurcations

Djamila Benmerzouk 1 Jean-Pierre Null Barbot 2, 3 
2 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Centrale Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : In this paper, a mathematical analysis of a possible way to chaos for bounded piecewise smooth systems of dimension 3 submitted to one of it's specific bifurcations, namely the sliding ones, is proposed. This study is based on period doubling method applied to the relied Poincaré maps.
Document type :
Journal articles
Complete list of metadata

Cited literature [18 references]  Display  Hide  Download

https://hal.inria.fr/inria-00533447
Contributor : Jean-Pierre Barbot Connect in order to contact the contributor
Submitted on : Saturday, November 6, 2010 - 12:31:24 PM
Last modification on : Friday, February 4, 2022 - 3:16:57 AM
Long-term archiving on: : Monday, February 7, 2011 - 2:29:18 AM

File

DRAFTHALSlid.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Djamila Benmerzouk, Jean-Pierre Null Barbot. Chaotic behavior analysis based on sliding bifurcations. Nonlinear Analysis: Hybrid Systems, Elsevier, 2010, 4 (3), pp.503-512. ⟨10.1016/j.nahs.2009.12.001⟩. ⟨inria-00533447⟩

Share

Metrics

Record views

428

Files downloads

182