Coexistence of the bandcount-adding and bandcount-increment scenarios
Summary: 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 and the other 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.
scientific article; zbMATH DE number 5999651
scientific article