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arXiv · 1707.01272

Enhancing synchronization in chaotic oscillators by induced heterogeneity

Ranjib Banerjee·Bidesh K. Bera·Dibakar Ghosh·Syamal Kumar Dana
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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.

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Ranjib Banerjee, Bidesh K. Bera, Dibakar Ghosh, Syamal Kumar Dana. 2017-07-05. Enhancing synchronization in chaotic oscillators by induced heterogeneity. https://doi.org/10.1140/epjst%2Fe2017-70027-9

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