Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios

Viktor Avrutin, Michael Schanz and Björn Schenke

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-30

Abstract:

We investigate the structure of the chaotic domain of a specific one-dimensional piecewise linear map with one discontinuity. In this system, the region of ``robust" chaos is embedded between two periodic domains. One of them is organized by the period-adding scenario whereas the other one by the period-increment scenario with coexisting attractors. In the chaotic domain, the influence of both adjacent periodic domains leads to the coexistence of the recently discovered bandcount adding and bandcount-increment scenarios. In this work, we focus on the explanation of the overall structure of the chaotic domain and a description of the bandcount adding and bandcount increment scenarios.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:681565

DOI: 10.1155/2011/681565

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