Control of chaos by random noise in a system of two coupled perturbed van der Pol oscillators modeling an electrical discharge plasma.
The control of chaos in nonlinear systems by different methods is still a high interest topic particularly when this is achieved by random noise as in this work. The change of chaotic dynamics into periodic dynamics induced by random noise in a system of two coupled perturbed van der Pol oscillators and comparison with the experimentally observed behavior of a double discharge plasma that it models is presented. Methods specific to nonlinear analysis such as phase portraits, Lyapunov exponents, and Fourier spectra are used to demonstrate the changeover from chaotic to regular dynamics induced by random noise. A phase diagram determines the range of noise parameters corresponding to the lowest orders of an observed bifurcation sequence of 3 x 2(n) type and particulars of the transitions are presented.
Cristescu
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Polytechnic University of Bucharest, Department of Physics, 313 Splaiul Independentei, 77206 Bucharest, Romania.
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Cristina
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Alexandroaei
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