# Enhancement of induced synchronization by transient uncoupling in coupled simple chaotic systems

## TL;DR

This paper demonstrates that transient uncoupling can significantly enhance the stability of induced synchronization in certain second-order chaotic systems, expanding understanding of synchronization control methods.

## Contribution

It introduces the novel application of transient uncoupling to improve synchronization stability in second-order chaotic systems, analyzed via the Master Stability Function.

## Key findings

- Stable synchronized states exist over specific clipping fractions.
- Enhanced synchronization observed with fixed clipping fractions.
- Bifurcation diagrams identify parameter regions for stability.

## Abstract

In this paper, we report the enhanced stability of induced synchronization by transient uncoupling observed in certain unidirectionally coupled second-order chaotic systems. The stability of synchronization observed in the coupled systems subjected to transient uncoupling is analyzed using the {\emph{Master Stability Function}}. The existence of the coupled systems in stable synchronized states over a certain range of the clipping fraction of the driven system is identified. The enhanced stable synchronized states are obtained for fixed values of clipping fraction in certain second-order chaotic systems. The two-parameter bifurcation diagram indicating the parameter regions over which stable synchronization occurs is presented. The negative eigenvalue regions of the driven system enabling induced synchronization is studied for all the systems. The enhancement of synchronization through transient uncoupling observed in coupled second-order non-autonomous chaotic systems is reported in the literature for the first time.