Exploring the dynamics of conjugate coupled Chua circuits: Simulations and experiments

Singla, Tanu; Pawar, Nitin; Parmananda, P.

doi:10.1103/physreve.83.026210

Cited by 43 publications

(21 citation statements)

References 20 publications

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“…In addition, this is particularly suited to experiments and both in electrochemical systems [71] as well as in electronic circuits [72], this coupling can be realized.…”

Section: Conjugate Couplingmentioning

confidence: 99%

Amplitude death: The emergence of stationarity in coupled nonlinear systems

2012

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When nonlinear dynamical systems are coupled, depending on the intrinsic dynamics and the manner in which the coupling is organized, a host of novel phenomena can arise. In this context, an important emergent phenomenon is the complete suppression of oscillations, formally termed amplitude death (AD). Oscillations of the entire system cease as a consequence of the interaction, leading to stationary behavior. The fixed points that the coupling stabilizes can be the otherwise unstable fixed points of the uncoupled system or can correspond to novel stationary points. Such behaviour is of relevance in areas ranging from laser physics to the dynamics of biological systems. In this review we discuss the characteristics of the different coupling strategies and scenarios that lead to AD in a variety of different situations, and draw attention to several open issues and challenging problems for further study.

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“…In addition, this is particularly suited to experiments and both in electrochemical systems [71] as well as in electronic circuits [72], this coupling can be realized.…”

Section: Conjugate Couplingmentioning

confidence: 99%

Amplitude death: The emergence of stationarity in coupled nonlinear systems

2012

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“…Multi-path propagation with multiple delays was proposed to improve the efficiency in network-controlled systems [24]. Conjugate coupling was introduced to regulate the oscillation death phenomenon [25,26] and, it was also found that multi-channel coupling can provide a much larger domain for oscillation death than the case of single-channel coupling [27]. In spite of these investigations, a systematic study of the effect of multi-channel coupling on synchronization has been lacking.…”

Section: Introductionmentioning

confidence: 99%

Complex behavior of chaotic synchronization under dual coupling channels

et al. 2015

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“…Two themes that have separately been explored in recent studies of nonlinear dynamical systems are relay coupling [1,2] (i.e., coupling two systems via a third) and coupling systems through conjugate (or dissimilar) variables [3][4][5]. A primary interest in such studies has been on synchronization [6] in its many different forms, from both theoretical and experimental points of view.…”

Section: Introductionmentioning

confidence: 99%

Phase-flip transition in relay-coupled nonlinear oscillators

et al. 2011

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We study the dynamics of oscillators that are coupled in relay; namely, through an intermediary oscillator. From previous studies it is known that the oscillators show a transition from in-phase to out-of-phase oscillations or vice versa when the interactions involve a time delay. Here we show that, in the absence of time delay, relay coupling through conjugate variables has the same effect. However, this phase-flip transition does not occur abruptly at a certain critical value of the coupling parameter. Instead we find a parameter region around the phase-flip transition where bistability occurs. In this parameter interval in-phase and out-of-phase oscillations coexist with changing sizes of their basins of attraction. Further increase of the coupling strength leads to amplitude death and subsequently to the stabilization of a fixed point. These transitions are characterized through various quantities such as the average phase difference and crossings in the spectrum of Lyapunov exponents. Numerical results are presented for a specific case of coupled Rössler-like oscillators.

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Exploring the dynamics of conjugate coupled Chua circuits: Simulations and experiments

Cited by 43 publications

References 20 publications

Amplitude death: The emergence of stationarity in coupled nonlinear systems

Amplitude death: The emergence of stationarity in coupled nonlinear systems

Complex behavior of chaotic synchronization under dual coupling channels

Phase-flip transition in relay-coupled nonlinear oscillators

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