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Fourier Spectrum of Chaotic Oscillations in Autonomous Auto-Stochastic Systems with Multisegment Nonlinearity

Authors: Prokopenko V.G. Published: 14.10.2013
Published in issue: #1(36)/2010  
DOI:

 
Category: Applied Mathematics and Methods of Mathematical Simulation  
Keywords: autonomous systems, chaotic oscillations, nonlinearity, Fourier spectrum, pulse function

Properties of the frequency spectrum of chaotic oscillations in autonomous autostochastic systems with the multisegment nonlinearity are considered. A component of the oscillations is extracted which determines their dependence on a number of nonlinearity segments. It is shown that a frequency function of Fourier spectrum of this component corresponds to a function of 1/f and may be approximated by a spectrum of the multistep random pulse function.