Experimental Chua-plasma phase synchronization of chaos

Rosa, Epaminondas; Ticoş, C. M.; Pardo, William B.; Walkenstein, Jonathan A.; Monti, Marco; Kurths, Jürgen

doi:10.1103/physreve.68.025202

Cited by 20 publications

(12 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Many past studies on such systems have therefore relied on driving a single plasma system with an external frequency source. [5][6][7][8][9][10][11][12][13] There have been very few studies devoted to the investigation of mutual synchronization between two plasma systems except 14 where this phenomenon was studied between two double plasma devices and 15 where it was investigated in two electrical discharges. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Synchronization between two coupled direct current glow discharge plasma sources

et al. 2015

View full text Add to dashboard Cite

Experimental results on the nonlinear dynamics of two coupled glow discharge plasma sources are presented. A variety of nonlinear phenomena including frequency synchronization and frequency pulling are observed as the coupling strength is varied. Numerical solutions of a model representation of the experiment consisting of two coupled asymmetric Van der Pol type equations are found to be in good agreement with the observed results. V C 2015 AIP Publishing LLC.

show abstract

Section: Introductionmentioning

confidence: 99%

Synchronization between two coupled direct current glow discharge plasma sources

et al. 2015

View full text Add to dashboard Cite

show abstract

“…Examples include circadian rhythm, cardio-respiratory systems, neural oscillators, population dynamics, electrical circuits, etc [4,5,6]. The notion of CPS has been investigated so far in oscillators driven by external periodic force [7,8], chaotic oscillators with different natural frequencies and/or with parameter mismatches [9,10,11,12], arrays of coupled chaotic oscillators [13,14] and also in essentially different chaotic systems [15,16]. On the other hand PS in nonlinear time-delay systems, which form an important class of dynamical systems, have not yet been identified and addressed.…”

mentioning

confidence: 99%

Phase synchronization in time-delay systems

2006

View full text Add to dashboard Cite

Though the notion of phase synchronization has been well studied in chaotic dynamical systems without delay, it has not been realized yet in chaotic time-delay systems exhibiting non-phase coherent hyperchaotic attractors. In this article we report the first identification of phase synchronization in coupled time-delay systems exhibiting hyperchaotic attractor. We show that there is a transition from non-synchronized behavior to phase and then to generalized synchronization as a function of coupling strength. These transitions are characterized by recurrence quantification analysis, by phase differences based on a new transformation of the attractors and also by the changes in the Lyapunov exponents. We have found these transitions in coupled piece-wise linear and in Mackey-Glass time-delay systems. Synchronization is a natural phenomenon that one encounters in daily life. Since the identification of chaotic synchronization [1, 2, 3], several papers have appeared in identifying and demonstrating basic kinds of synchronization both theoretically and experimentally (cf. [4,5]). Among them, chaotic phase synchronization (CPS) refers to the coincidence of characteristic time scales of the coupled systems, while their amplitudes of oscillations remain chaotic and often uncorrelated. Phase synchronization (PS) plays a crucial role in understanding the behavior of a large class of weakly interacting dynamical systems in diverse natural systems. Examples include circadian rhythm, cardio-respiratory systems, neural oscillators, population dynamics, electrical circuits, etc [4,5,6].The notion of CPS has been investigated so far in oscillators driven by external periodic force [7,8], chaotic oscillators with different natural frequencies and/or with parameter mismatches [9,10,11,12], arrays of coupled chaotic oscillators [13,14] and also in essentially different chaotic systems [15,16]. On the other hand PS in nonlinear time-delay systems, which form an important class of dynamical systems, have not yet been identified and addressed. A main problem here is to define even the notion of phase in time-delay systems due to the intrinsic multiple characteristic time scales in these systems. Studying PS in such chaotic time-delay systems is of considerable importance in many fields, as in understanding the behavior of nerve cells (neuroscience), where memory effects play a prominent role, in pathological and physiological studies, in ecology, in lasers etc * Electronic address: lakshman@cnld.bdu.ac.in † Electronic address: jkurths@gmx.de [4,5,6,17,18,19,20,21]. In this paper, we report the first identification of phase synchronization (PS) in nonidentical time-delay systems in the hyperchaotic regime with non-phase coherent attractors with unidirectional nonlinear coupling. We will show the entrainment of phases of a coupled piecewise linear time-delay system for weak coupling from the non-synchronized state. Phase is calculated using the Poincaré method [4,5] after a new transformation of attractors of the time-delay systems, w...

show abstract

“…Rosenblum et al discovered the synchronization of the phase variables in a chaotic oscillator system [5]. This phenomenon, called chaotic phase synchronization (CPS), has been studied in various systems such as experimental systems [6][7][8], ordinary differential equations [5], and mapping systems [9,10]. In particular, CPS in two-oscillator systems has been extensively studied [11,12] in terms of the properties of synchronization and desynchronization as well as their mechanisms.…”

Section: Introductionmentioning

confidence: 99%