Enhancing synchronization in chaotic oscillators by induced heterogeneity
Abstract
We report enhancing of complete synchronization in identical chaotic oscillators when their interaction is mediated by a mismatched oscillator. The identical oscillators now interact indirectly through the intermediate relay oscillator. The induced heterogeneity in the intermediate oscillator plays a constructive role in reducing the critical coupling for a transition to complete synchronization. A common lag synchronization emerges between the mismatched relay oscillator and its neighboring identical oscillators that leads to this enhancing effect. We present examples of one-dimensional open array, a ring, a star network and a two-dimensional lattice of dynamical systems to demonstrate how this enhancing effect occurs. The paradigmatic R\"ossler oscillator is used as a dynamical unit, in our numerical experiment, for different networks to reveal the enhancing phenomenon.
Cite
@article{arxiv.1707.01272,
title = {Enhancing synchronization in chaotic oscillators by induced heterogeneity},
author = {Ranjib Banerjee and Bidesh K. Bera and Dibakar Ghosh and Syamal Kumar Dana},
journal= {arXiv preprint arXiv:1707.01272},
year = {2017}
}
Comments
10 pages, 7 figures