Locally and globally riddled basins in two coupled piecewise-linear maps

1 December 1997

journal article
research article
Published by American Physical Society (APS) in Physical Review E

Vol. 56 (6) , 6393-6399
https://doi.org/10.1103/physreve.56.6393

Abstract

The chaos synchronization and riddled basins phenomena are discussed for a family of two-dimensional piecewise linear endomorphisms that consist of two linearly coupled one-dimensional maps. Rigorous conditions for the occurrence of both phenomena are given. Different scenarios for the transition from locally to globally riddled basins and blowout bifurcation have been identified and described.

Keywords

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