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Upper bounds in phase synchronous weak coherent chaotic attractors

  • An approach is presented for coupled chaotic systems with weak coherent motion, from which we estimate the upper bound value for the absolute phase difference in phase synchronous states. This approach shows that synchronicity in phase implies synchronicity in the time of events, a characteristic explored to derive an equation to detect phase synchronization, based on the absolute difference between the time of these events. We demonstrate the potential use of this approach for the phase coherent and the funnel attractor of the Rossler system, as well as for the spiking/bursting Rulkov map.

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Author:Maurício da Silva Baptista, Tiago Pereira, Jürgen KurthsORCiDGND
Document Type:Article
Year of first Publication:2006
Year of Completion:2006
Release Date:2017/03/24
Source:Physica / D. - ISSN 0167-2789. - 216 (2006), 2, S. 260 - 268
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert
Institution name at the time of publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik