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Understanding transient uncoupling induced synchronization through modified dynamic coupling.

Anupam Ghosh¹, Prakhar Godara¹, Sagar Chakraborty¹

¹Department of Physics, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh 208016, India.

Chaos (Woodbury, N.Y.)

|June 3, 2018

Summary

This summary is machine-generated.

Transient uncoupling schemes synchronize chaotic systems where continuous coupling fails. This occurs due to transient decay, where trajectories diverge then converge, optimizing coupling regions for synchronization.

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Area of Science:

Nonlinear Dynamics
Chaos Theory
Complex Systems

Background:

Coupled chaotic systems often resist synchronization under continuous coupling.
A recently introduced transient uncoupling scheme induces synchronization in these systems.
The underlying mechanism for this synchronization remains an open problem.

Purpose of the Study:

To elucidate the mechanism behind synchronization in transiently uncoupled chaotic systems.
To identify optimal conditions for achieving synchronization in such systems.

Main Methods:

Analysis of Jacobian eigenvalues for transverse dynamics.
Introduction and application of a modified dynamics coupling scheme.
Investigation of transient decay phenomenon in coupled systems.

Main Results:

Identified transient decay as a key factor enabling synchronization.
Defined optimal coupling regions based on eigenvalue properties.
Demonstrated that even diverging trajectories can exhibit transient decay.

Conclusions:

Transient decay provides a novel explanation for synchronization in transiently uncoupled chaotic systems.
The modified dynamics coupling scheme is an effective tool for analyzing these phenomena.
Optimal coupling strategies can be designed based on phase space properties and eigenvalue analysis.