Stability enhancement by induced synchronization using transient uncoupling in certain coupled chaotic systems
arXiv:1811.05091 · doi:10.1016/j.chaos.2019.04.009
Abstract
In this work, we report the enhanced stability of induced synchronization observed through transient uncoupling in a class of unidirectionally coupled identical chaotic systems. The phenomenon of transient uncoupling implies the clipping of the chaotic attractor of the driven system in a drive-driven scenario and making the coupling strength active over the clipped regions. The {\emph{Master Stability Function}} (MSF) is used to determine the stability of the synchronized states for a finite clipping fraction in unidirectionally coupled chaotic systems subjected to transient uncoupling for fixed values of coupling strength. The effectiveness of transient uncoupling is observed through the existence of negative regions in the MSF spectrum for larger values of coupling strength. Further the two-parameter bifurcation diagram indicating the regions of stable synchronization for different values of clipping fraction and coupling strength has been obtained. The effect of the symmetry of chaotic attractors in enhancing the stability of synchronized states of coupled chaotic systems subjected to transient uncoupling is studied.
arXiv comment17 pages, 6 figures
References in corpus (6)
- Transient Uncoupling Induces Synchronization
- Understanding transient uncoupling induced synchronization through modified dynamic coupling
- Synchronizing noisy nonidentical oscillators by transient uncoupling
- Generalized analytical solutions and experimental confirmation of complete synchronization in a class of mutually-coupled simple nonlinear electronic circuits
- Generalized Analytical Solutions and Synchronization Dynamics of Coupled Simple Nonlinear Electronic Circuits
- Numerical and analytical studies on the complete synchronization of the variant of Murali-Lakshmanan-Chua circuits