Synchronization of indirectly coupled Lorenz oscillators: An experimental study

Sharma, Amit; Shrimali, Manish Dev

doi:10.1007/s12043-011-0194-0

Cited by 8 publications

(5 citation statements)

References 29 publications

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“…A linear stability analysis has also been reported in that paper. Later, the experimental study of the same has been reported in [30]. Amplitude death in environmentally coupled chaotic systems are reported in [31,32].…”

Section: Introductionmentioning

confidence: 88%

Synchronization in hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment

Banerjee

Biswas

2013

Nonlinear Dyn

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The present paper explores the synchronization scenario of hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment. We show that depending upon the coupling parameters a hyperchaotic time-delayed system can show in-phase or complete synchronization, and also inverse-phase or anti-synchronization. This paper reports the first experimental confirmation of synchronization of hyperchaos in time-delayed electronic oscillators coupled indirectly through a common environment. We confirm the occurrence of in-phase and inverse-phase synchronization phenomena in the coupled system through the dynamical measures like generalized autocorrelation function, correlation of probability of recurrence, and the concept of localized sets computed directly from the experimental time-series data. We also present a linear stability analysis of the coupled system. The experimental and analytical results are further supported by the detailed numerical analysis of the coupled system. Apart from the above mentioned measures, we numerically compute another quantitative measure, namely, Lyapunov exponent spectrum of the coupled system that confirms the transition from the in-phase (inverse-phase) synchronized state to the complete (anti-) synchronized state with the increasing coupling strength.

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Section: Introductionmentioning

confidence: 88%

Synchronization in hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment

Banerjee

Biswas

2013

Nonlinear Dyn

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“…The studies about the synchronization of periodic oscillators coupled through a common medium have been recently extended to chaotic systems. In this latter case, when two chaotic units are considered, both in-phase and antiphase synchronization have been numerically [13,14] and experimentally [15,16] observed. When more than two chaotic units are taken into account, phenomena such as phase synchronization, periodic collective behavior and quorum-sensing transition show up [17].…”

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confidence: 89%

Intra-layer synchronization in multiplex networks

Gambuzza

Frasca

Gómez‐Gardeñes

2015

EPL

121

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We study synchronization of N oscillators indirectly coupled through a medium which is inhomogeneous and has its own dynamics. The system is formalized in terms of a multilayer network, where the top layer is made of disconnected oscillators and the bottom one, modeling the medium, consists of oscillators coupled according to a given topology. The different dynamics of the medium and the top layer is accounted by including a frequency mismatch between them. We show a novel regime of synchronization as intra-layer coherence does not necessarily require inter-layer coherence. This regime appears under mild conditions on the bottom layer: arbitrary topologies may be considered, provided that they support synchronization of the oscillators of the medium. The existence of a density-dependent threshold as in quorum-sensing phenomena is also demonstrated.

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“…All these type of synchronization can be achieved with various type of interactions e.g. mismatch oscillators [18], conjugate [19,20], delay [21], and nonlinear [22,23], indirect [24,25].…”

Section: Introductionmentioning

confidence: 99%

Experimental realization of mixed-synchronization in counter-rotating coupled oscillators

Sharma

Shrimali

2011

Nonlinear Dyn

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Recently, a novel mixed-synchronization phenomenon is observed in counter-rotating nonlinear coupled oscillators [1]. In mixed-synchronization state: some variables are synchronized in-phase, while others are out-of-phase. We have experimentally verified the occurrence of mixedsynchronization states in coupled counter-rotating chaotic piecewise Rössler oscillator. Analytical discussion on approximate stability analysis and numerical confirmation on the experimentally observed behavior is also given.

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Synchronization of indirectly coupled Lorenz oscillators: An experimental study

Cited by 8 publications

References 29 publications

Synchronization in hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment

Synchronization in hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment

Intra-layer synchronization in multiplex networks

Experimental realization of mixed-synchronization in counter-rotating coupled oscillators

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