https://doi.org/10.1140/epjst/e2017-70027-9
Regular Article
Enhancing synchronization in chaotic oscillators by induced heterogeneity
1 School of Engineering & Technology, BML Munjal University, Gurgaon, India
2 Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, India
3 Department of Mathematics, Jadavpur University, Kolkata 700032, India
a e-mail: ranjib.b@gmail.com
Received: 31 January 2017
Revised: 6 March 2017
Published online: 21 June 2017
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 Rössler oscillator is used as a dynamical unit, in our numerical experiment, for different networks to reveal the enhancing phenomenon.
© EDP Sciences, Springer-Verlag, 2017
