Hyperbolic attractor of Smale-Williams type in a system of two coupled non-autonomous amplitude equations

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dc.creatorKuptsov, Pavel V.
dc.creatorKuznetsov, Sergey P.
dc.creatorSataev, Igor R.
dc.date2008-04-23
dc.date.accessioned2026-07-07T09:34:16Z
dc.date.available2026-07-07T09:34:16Z
dc.descriptionRecently, a system with uniformly hyperbolic attractor of Smale-Williams type has been suggested [Kuznetsov, Phys. Rev. Lett., 95, 144101, 2005]. This system consists of two coupled non-autonomous van der Pol oscillators and admits simple physical realization. In present paper we introduce amplitude equations for this system and prove that the attractor of the system of amplitude equations is also uniformly hyperbolic. Also we represent qualitative illustrations as well as quantitative characteristics of a chaotic dynamics on this attractor.
dc.description17 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0804.3677
dc.identifierhttp://arxiv.org/abs/0804.3677
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159431
dc.subjectChaotic Dynamics
dc.titleHyperbolic attractor of Smale-Williams type in a system of two coupled non-autonomous amplitude equations
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