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Autocorrelation function and spectral linewidth of spiral chaos in a physical experiment
Vadim S Anishchenko1, Tatjana E Vadivasova, Jürgen Kurths
1Department of Physics, Institute of Nonlinear Dynamics, Saratov State University, 410012 Saratov, Russia.
Abstract:
We present results of physical experiments where we measure the autocorrelation function (ACF) and the spectral linewidth of the basic frequency of a spiral chaotic attractor in a generator with inertial nonlinearity both without and in the presence of external noise. It is shown that the ACF of spiral attractors decays according to an exponential law with a decrement which is defined by the phase diffusion coefficient. It is also established that the evolution of the instantaneous phase can be approximated by a Wiener random process.
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