Coupled systems with hyperchaos and quasiperiodicity
Alexander P. Kuznetsov, Yuliya V. Sedova
TL;DR
This paper investigates a coupled system exhibiting hyperchaos and quasiperiodicity, analyzing parameter regions for different dynamical regimes using Lyapunov methods to understand the interaction of complex behaviors.
Contribution
It introduces a detailed analysis of coupled systems with hyperchaos and quasiperiodicity, identifying parameter domains for various dynamical states.
Findings
Identified regions of chaos, hyperchaos, and quasiperiodicity in parameter space.
Mapped the interaction regimes of quasiperiodic and hyperchaotic subsystems.
Used Lyapunov two-parameter analysis to characterize system dynamics.
Abstract
A model with hyperchaos is studied by means of Lyapunov two-parameter analysis. The regions of chaos and hyperchaos, as well as autonomous quasiperiodicity are identified. We discuss the picture of domains of different regimes in the parameter plane of coupled systems, corresponding to the cases of interaction of quasiperiodic and hyperchaotic subsystems.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Chaos control and synchronization · Mathematical Dynamics and Fractals