Random interval diffeomorphisms
Masoumeh Gharaei, Ale Jan Homburg
TL;DR
This paper studies a class of random interval diffeomorphisms using step skew product systems over shift operators, revealing phenomena like intermingled basins, synchronization, and intermittency in a simplified setting.
Contribution
It introduces a simplified model of random interval diffeomorphisms that demonstrates complex phenomena such as basin intermingling and synchronization.
Findings
Demonstrates intermingled basins in the model
Shows occurrence of master-slave synchronization
Identifies on-off intermittency phenomena
Abstract
We consider a class of step skew product systems of interval diffeomorphisms over shift operators, as a means to study random compositions of interval diffeomorphisms. The class is chosen to present in a simplified setting intriguing phenomena of intermingled basins, master-slave synchronization and on-off intermittency. We provide a self-contained discussion of these phenomena.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Nonlinear Dynamics and Pattern Formation · Cellular Automata and Applications