Period doubling cascade in glow discharges: Local versus global differential conductivity

Sijacic, D.; Ebert, Ute; Rafatov, İsmail

doi:10.1103/physreve.70.056220

Cited by 43 publications

(55 citation statements)

References 30 publications

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Section: Entrainment Of Limit Cycles By Chaossupporting

confidence: 81%

“…The expandability of the theory to collectives of glow discharge systems is discussed, and this increases the potential of applications of the results. Moreover, the research completes the previous discussion of the chaos appearance in a glow discharge-semiconductor system [3].Spatiotemporal chaos is one of the complicated structures observed in spatially extended dynamical systems and it is characterized by chaotic properties both in time and space coordinates. The existence of a positive Lyapunov exponent can be used to detect spatiotemporal complexity, which can be observed, for example, in liquid crystal light valves, electroconvection, cardiac fibrillation, chemical reaction-diffusion systems and fluidized granular matter.…”

supporting

confidence: 80%

“…In the studies [3,52], the problem was reduced to one spatial dimension z such that the GDS system takes the following dimensionless form,…”

Section: Formulation Of the Model In Dimensionless Formmentioning

confidence: 99%

“…We consider a regime corresponding to a transition between Townsend and glow discharge. The parameters are taken as in the experiments [62] and in our previous work [3]. The discharge is in nitrogen at 40 mbar, in a gap of 1.4 mm.…”

Section: Formulation Of the Model In Dimensionless Formmentioning

confidence: 99%

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Spatiotemporal Chaos in Glow Discharge-Semiconductor Systems

Akhmet

Fen

2015

Nonlinear Physical Science

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Entrainment of limit cycles by chaos [1] is discovered numerically through specially designed unidirectional coupling of two glow discharge-semiconductor systems. By utilizing the auxiliary system approach [2], it is verified that the phenomenon is not a chaos synchronization. Simulations demonstrate various aspects of the chaos appearance in both drive and response systems. Chaotic control is through the external circuit equation and governs the electrical potential on the boundary. The expandability of the theory to collectives of glow discharge systems is discussed, and this increases the potential of applications of the results. Moreover, the research completes the previous discussion of the chaos appearance in a glow discharge-semiconductor system [3].Spatiotemporal chaos is one of the complicated structures observed in spatially extended dynamical systems and it is characterized by chaotic properties both in time and space coordinates. The existence of a positive Lyapunov exponent can be used to detect spatiotemporal complexity, which can be observed, for example, in liquid crystal light valves, electroconvection, cardiac fibrillation, chemical reaction-diffusion systems and fluidized granular matter. Spatially extended dynamical systems often serve as standard models for the investigation of complex phenomena in electronics. A special interest is directed towards pattern-formation phenomena in electronic media, mainly the nonlinear gas discharge systems. It is clear that chaos can appear as an intrinsic property of systems as well as through couplings. The interaction of spatially extended systems is important for neural networks, reentry initiation in coupled parallel fibers, thermal convection in multilayered media and for systems consisting of several weakly coupled spatially extended systems such as the electrohydrodynamical convection in liquid crystals. In the present study, we numerically verify the appearance of cyclic irregular behavior (entrainment by * Corresponding Author chaos) in unidirectionally coupled glow discharge-semiconductor systems. The chaos in the response system is obtained through period-doubling cascade of the drive system such that it admits infinitely many unstable periodic solutions and sensitivity is present. Previously, the extension of chaos through couplings has been considered by synchronization[2], [4]- [9]. The task is difficult for partial differential equations because of the choice of connecting parameters [10]- [12]. Kocarev et al. [10] suggested a useful time-discontinuous monitoring for synchronization, but our choice is based on a finite dimensional connection.It is demonstrated that the present results cannot be reduced to any one in the theory of synchronization of chaos. The technique of chaos extension suggested in the present research can be related to technical problems [13,14], where collectives of microdischarge systems are considered and in models which appear in neural networks, hydrodynamics, optics, chemical reactions and electrical oscillators. Sta...

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Section: Entrainment Of Limit Cycles By Chaossupporting

confidence: 81%

supporting

confidence: 80%

“…In the studies [3,52], the problem was reduced to one spatial dimension z such that the GDS system takes the following dimensionless form,…”

Section: Formulation Of the Model In Dimensionless Formmentioning

confidence: 99%

Section: Formulation Of the Model In Dimensionless Formmentioning

confidence: 99%

See 2 more Smart Citations

Spatiotemporal Chaos in Glow Discharge-Semiconductor Systems

Akhmet

Fen

2015

Nonlinear Physical Science

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“…11 Also, both experimental and numerical results have revealed that APGD has a voltage-current relationship with negative differential conductivity during the growth phase of each current pulse, which indicates that APGD can undergo period multiplication and chaos under curtain conditions. 12,13 These period multiplication and chaos phenomena have been observed in atmospheric barrier discharge in helium and argon. 14,15 However, the characteristics of period-doubling atmospheric dielectric-barrier discharges are still far from clear.…”

Section: Introductionmentioning

confidence: 97%

Period-two discharge characteristics in argon atmospheric dielectric-barrier discharges

Wang¹,

Hong²,

Sun³

et al. 2009

Physics of Plasmas

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Period multiplication and chaos behaviors in atmospheric glow discharges are important to understand atmospheric glow plasma stability and to optimize its applications. In this paper, we study the period-two discharge characteristics in argon atmospheric dielectric-barrier discharges using a one-dimension fluid model. Under certain conditions, period-two discharges can occur at different excitation frequencies and exhibit different current and voltage behaviors. When the discharge current becomes highly symmetrical the period-two discharge can reach to a steady state, which sustains over a broad frequency range. At the sufficiently high excitation frequency, the period-two discharge in atmospheric argon shows noticeably different behaviors from the discharges generated at kilohertz frequency. The spatial characteristics of period-two discharge as well as the influence of driving frequency on period-two discharge behaviors are also investigated.

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