Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios

Autor: Viktor Avrutin, Michael Schanz, Björn Schenke
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: Discrete Dynamics in Nature and Society, Vol 2011 (2011)
Druh dokumentu: article
ISSN: 1026-0226
1607-887X
DOI: 10.1155/2011/681565
Popis: 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.
Databáze: Directory of Open Access Journals