Control of chaos by random noise in a system of two coupled perturbed van der Pol oscillators modeling an electrical discharge plasma

Cristescu, C.; Stan, Cristina; Alexandroaei, D.

doi:10.1103/physreve.66.016602

Cited by 5 publications

(4 citation statements)

References 28 publications

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“…The various nonlinear dynamics observed in the behavior of the twin electrical discharge plasma are satisfactorily reproduced by the following model system of equations [1,6,7]:…”

Section: Results Of the Computational Modelmentioning

confidence: 97%

Dynamics of the plasma of a twin discharge system induced by external perturbations

2004

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In this work we present new results on the dynamics of charge structures generated in the inter-anode space of a twin electric discharge system both for free running and for sinusoidal forcing. We study the change of plasma dynamics as function of the amplitude of the ac forcing for two dc biasing values. In a certain range of the control parameter, proportional to the amplitude of the sinusoidal perturbation, the dynamics can be dramatically changed. The results of the computational model proposed in previous works for the system are in reasonable agreement with the experiment.PACS : 05.45.Pq

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“…The various nonlinear dynamics observed in the behavior of the twin electrical discharge plasma are satisfactorily reproduced by the following model system of equations [1,6,7]:…”

Section: Results Of the Computational Modelmentioning

confidence: 97%

Dynamics of the plasma of a twin discharge system induced by external perturbations

2004

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“…The various nonlinear dynamics observed in the behavior of the double-electrical-discharge plasma are satisfactorily reproduced by the following model system of equations [24,29]:…”

Section: Experimental Setup and Computational Modelmentioning

confidence: 90%

“…Since it is very difficult to control the internal noise level experimentally, an alternative is to inject noise that can be controlled from outside. The effect of additive noise on chaos control has been the subject of our recent numerical and experimental investigation [24]. Depending on the relation between the characteristics of the external circuit (frequency and amplitude) and the parameters of the plasma oscillations, different types of synchronization, periodic pulling, period doubling bifurcations, and chaos were reported [25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Dynamic control by sinusoidal perturbation and by Gaussian noise of a system of two nonlinear oscillators: Computation and experimental results

2004

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In this paper we report numerical and experimental studies of the dynamic control of the inter-anode plasma of a double electrical discharge and of a system of two coupled nonlinear oscillators modeling this plasma. We compare the transition between chaotic dynamics and periodic dynamics induced by a sinusoidal perturbation and by small-dispersion Gaussian noise. Besides considerable differences between the effect of the two types of perturbation we also find important similarities. For small amplitude, both the sinusoidal and the white noise perturbations can induce the system to change from chaotic to regular dynamics. In the case of sinusoidal perturbation, the transition time from the chaotic to regular state has a definite duration that depends on the values of the perturbation parameters. The suppression of the perturbation has no influence on the state - the system remains in the same regular state. Subsequent reinstatement of the same type of perturbation with the same amplitude does not change the periodic state of the system but, for considerably higher amplitude, the system is switched back to its chaotic state. For moderate-amplitude sinusoidal perturbation, intermittent transitions between the chaotic and regular states is observed. Most of these predictions of the model have been observed experimentally in a system of two coupled electrical discharges. Our results suggest practical methods that can be used for controlling the discharge plasma dynamics.

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“…The model of nonlinear oscillators has been used extensively for interpretation of the behavior of a wide range of physical systems from plasmas [18][19][20] and condensed matter [21] to DNA and neuronal dynamics [22,23]. The structure of lipid bilayers, liposomes, and the nature of the phase transition is covered in a wide array of literature [24][25][26].…”

Section: Mathematical Approachmentioning

confidence: 99%

Effect of Gramicidin S on the Dipalmitoylphosphatidyl-glycerol Thermotropic Phase Transition in DPPG/GS Systems: A Mathematical Approach

Stan

Cristescu

Severcan

et al. 2006

Molecular Crystals and Liquid Crystals

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We present a mathematical approach to the experimental data recorded via Fourier transform-infrared spectroscopy regarding the influence of the concentration of the antimicrobial peptide gramicidin S (GS) on the thermotropic phase transition of the dipalmitoylphosphatidyl-glycerol (DPPG) lipid bilayer membrane in DPPG=GS systems. The model is based on the influence of the GS concentration on the parameters of a nonlinear damped oscillator, which models the CH 2 symmetric stretching band.

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Control of chaos by random noise in a system of two coupled perturbed van der Pol oscillators modeling an electrical discharge plasma

Cited by 5 publications

References 28 publications

Dynamics of the plasma of a twin discharge system induced by external perturbations

Dynamics of the plasma of a twin discharge system induced by external perturbations

Dynamic control by sinusoidal perturbation and by Gaussian noise of a system of two nonlinear oscillators: Computation and experimental results

Effect of Gramicidin S on the Dipalmitoylphosphatidyl-glycerol Thermotropic Phase Transition in DPPG/GS Systems: A Mathematical Approach

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