Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios

Abstract EN

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.