Header menu link for other important links
X
Extreme multistable synchronisation in coupled dynamical systems
P CHAKRABORTY,
Published in Springer
2019
Volume: 93
   
Issue: 2
Abstract
A rule for designing extreme multistable synchronised systems by coupling two identical dynamical systems has been proposed in this paper. The basic idea behind the proposed scheme is the existence of chaos in the coupled system in the presence of initial condition-dependent constants of motion. A new conjecture has been introduced according to which an extreme multistable synchronised system can be designed if all states of one system will synchronise with the corresponding states of the other system (of the two coupled systems) and the basin of the synchronised state depends on the difference between the initial conditions of the corresponding states of the individual systems. The proposed scheme has been illustrated with the help of coupled Rössler systems, coupled Hénon maps and coupled logistic maps. Moreover, the existence of flip bifurcation with the variation of initial conditions has been shown analytically as well as numerically in the case of coupled Hénon maps. Numerical results are reported to show the proficiency of the proposed scheme to design extreme multistable synchronisation behaviour. This work establishes a theoretical foundation for constructing extreme multistable synchronised continuous as well as discrete dynamical systems. © 2019, Indian Academy of Sciences.
About the journal
JournalData powered by TypesetPramana - Journal of Physics
PublisherData powered by TypesetSpringer
ISSN0304-4289
Open AccessNo