For citation:
Anishchenko V. S., Akopov A. A., Vadivasova T. E., Okrokvertskhov G. A., Astakhov V. V. Chaos in autooscillating medium due to spatial inhomogeneity. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 4, pp. 60-70. DOI: 10.18500/0869-6632-2004-12-4-60-70
Chaos in autooscillating medium due to spatial inhomogeneity
In the present paper we show that inhomogeneity of a self-sustained oscillating medium can be responsible for the apperance of a chaotic behavior. We compute the maximal Lyapunov exponent by using different calculation methods. It is established that for a fixed spatial point the autocorrelation function of the real amplitude A (t) decays exponentially with the rate that is one order less than the maximal Lyapunov exponent and is defined by the effective phase diffusion coefficient of the chaotic process А(t).
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