Abstract
In this paper, we present a numerical investigation on the robust synchronization phenomenon observed in a unidirectionally-coupled quasiperiodically-forced simple nonlinear electronic circuit system exhibiting strange non-chaotic attractors (SNAs) in its dynamics. The SNA obtained in the simple quasiperiodic system is characterized for its SNA behavior. Then, we studied the nature of the synchronized state in unidirectionally coupled SNAs by using the Master-Slave approach. The stability of the synchronized state is studied through the master stability functions (MSF) obtained for coupling different state variables of the drive and response system. The property of robust synchronization is analyzed for one type of coupling of the state variables through phase portraits, conditional lyapunov exponents and the Kaplan-Yorke dimension. The phenomenon of complete synchronization of SNAs via a unidirectional coupling scheme is reported for the first time.
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Sivaganesh, G., Daniel Sweetlin, M. & Arulgnanam, A. Synchronization of strange non-chaotic attractors via unidirectional coupling of quasiperiodically-forced systems. Journal of the Korean Physical Society 69, 124–130 (2016). https://doi.org/10.3938/jkps.69.124
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DOI: https://doi.org/10.3938/jkps.69.124