Dynamical Chaos in a Nonlinear System with 1/f Spectrum

Abstract

A system of two nonlinear differential equations proposed for explaining the physical nature of the 1/f spectra reveals the chaotization of trajectories under periodic external action in one of the system equations. This external noise leads to a stochastic resonance and low-frequency 1/f  behavior of the power spectra. The stochastic resonance and 1/f  behavior correspond to the maximum of information entropy, which is evidence of stability of the random process.