AN ANALYSIS OF ROUTE TO CHAOS FOR PIECEWISE SMOOTH SYSTEMS SUBMITTED TO NONSMOOTH TRANSITIONS

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dc.contributor.author	Benmerzouk, D	-
dc.contributor.author	Barbot, JP	-
dc.date.accessioned	2013-06-05T09:33:31Z	-
dc.date.available	2013-06-05T09:33:31Z	-
dc.date.issued	2010-12	-
dc.identifier.issn	0218-1274	-
dc.identifier.uri	http://dspace.univ-tlemcen.dz/handle/112/1937	-
dc.description	International Journal of Bifurcation and Chaos , ISSN : 0218-1274, DOI: 10.1142/S0218127410028148, Issue :12, Volume : 20, pp. 3989 4009,December 2010.	en_US
dc.description.abstract	In this paper, a mathematical analysis of a possible way to chaos (in the sense of Li and Yorke) for bounded piecewise smooth systems of dimension three submitted to nonsmooth transitions is proposed. This study is based on period doubling method applied to the relied Poincaré map defined on a Poincaré section chosen in the neighborhood of the bifurcation point and transverse to the switching manifold. This choice permits us to reduce the corresponding discrete system to dimension one and allows us to apply "period three implies chaos".	en_US
dc.language.iso	en	en_US
dc.publisher	University of Tlemcen	en_US
dc.subject	Dynamic bifurcations	en_US
dc.subject	chaotic behavior	en_US
dc.subject	bifurcation of limits cycles and periodic orbits	en_US
dc.subject	bifurcations connected with nontransversal intersection	en_US
dc.title	AN ANALYSIS OF ROUTE TO CHAOS FOR PIECEWISE SMOOTH SYSTEMS SUBMITTED TO NONSMOOTH TRANSITIONS	en_US
dc.type	Article	en_US
Collection(s) :	Articles internationaux

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