Persistence of chaos in a time-delayed-feedback controlled Duffing system

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Kohei Yamasue and Takashi Hikihara
Department of Electrical Engineering, Kyoto University, Katsura, Nishikyo, Kyoto 615-8510, Japan

Received 8 April 2005; revised 27 January 2006; published 14 March 2006

Thispaper concerns global phase structures of a time-delayed-feedback controlled two-wellDuffing system. The remains of a global stretch and foldstructure along an unstable manifold, which develops from an unstablefixed point in function space, reveals that the global chaoticdynamics is inherited from the original system by the controlledsystem. The remains of the original chaotic dynamics causes ahighly complicated domain of attraction for target orbits and along chaotic transient before convergence.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.73.036209
DOI:	10.1103/PhysRevE.73.036209
PACS:	05.45.Gg 05.45.Gg Control of chaos, applications of chaos YEAR: 2006
KEYWORDS:	chaos, nonlinear dynamical systems

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