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Urheberrechtshinweis / Copyright notice
Bitte beziehen Sie sich beim Zitieren dieses Dokumentes immer auf folgende URN: urn:nbn:de:kobv:517-opus-13405 URL: http://opus.kobv.de/ubp/volltexte/2007/1340/ Pikovsky, Arkady ; Feudel, Ulrike
Characterizing strange nonchaotic attractors
Kurzfassung auf EnglischStrange nonchaotic attractors typically appear in quasiperiodically driven nonlinear systems. Two methods of their characterization are proposed. The first one is based on the bifurcation analysis of the systems, resulting from periodic approximations of the quasiperiodic forcing. Secondly, we propose th characterize their strangeness by calculating a phase sensitivity exponent, that measures the sensitivity with respect to changes of the phase of the external force. It is shown, that phase sensitivity appears if there is a non-zero probability for positive local Lyapunov exponents to occur.
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