Bifurcations and intermittency in coupled dissipative kicked rotors

Area of Science:

• * Physics
• * Nonlinear Dynamics
• * Complex Systems

Background:

• * Coupled dissipative kicked rotors exhibit complex dynamical behaviors.
• * Understanding critical transitions and multistability is crucial for characterizing system behavior.
• * Spatial patterns and coexisting attractors are key features in such systems.

Purpose of the Study:

• * To investigate the emergence of complex dynamics in coupled dissipative kicked rotors.
• * To understand critical transitions through bifurcations of simple states.
• * To characterize spatial patterns and coexisting attractors.

Main Methods:

• * Analysis of multistability and bifurcations in a single-rotor model.
• * Introduction of a combined order parameter to characterize spatial patterns.
• * Examination of the coexistence of chaotic and regular attractors.
• * Illustration of intermittent phenomena near chaos onset.

Main Results:

• * Critical transitions in coupled rotors are linked to bifurcations of simple states.
• * Multistability in the single-rotor model leads to diverse spatial patterns in coupled systems.
• * A combined order parameter effectively characterizes spatial patterns and reveals coexisting attractors.
• * Intermittent phenomena are observed near the onset of chaos.

Conclusions:

• * The study provides a framework for understanding complex dynamics in coupled dissipative systems.
• * Bifurcations of simple states are fundamental to critical transitions and pattern formation.
• * The introduced order parameter is a valuable tool for analyzing complex system behavior.
• * The findings offer insights into the onset of chaos and intermittent dynamics.