• Synchronization and basin bifurcations in mutually coupled oscillators

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/068/05/0749-0756

• # Keywords

Synchronization; fractal basins; Duffing oscillator; cross-well chaos.

• # Abstract

Synchronization behaviour of two mutually coupled double-well Duffig oscillators exhibiting cross-well chaos is examined. Synchronization of the subsystems was observed for coupling strength $k &gt; 0.4$. It is found that when the oscillators are operated in the regime for which two attractors coexist in phase space, basin bifurcation sequences occur leading to $n + 1$, $n \geq 2$ basins as the coupling is varied – a signature of Wada structure and ﬁnal-state sensitivity. However, in the region of complete synchronization, the basins structure is identical with that of the single oscillators and retains its essential features including fractal basin boundaries.

• # Author Affiliations

1. Nonlinear and Statistical Physics Research Group, Department of Physics, Olabisi Onabanjo University, P.M.B. 2002, Ago-Iwoye, Nigeria
2. Department of Physics, College of Natural Sciences, University of Agriculture, Abeokuta, Nigeria

• # Pramana – Journal of Physics

Volume 94, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019