Nonlinear Theory of Stochastic Resonance
نویسنده
چکیده
Theory of nonlinear resonance, including stochastic one, is developed on the basis of the statistical field theory and using variables action-angle. Explicit expressions of action, proper frequency and nonlinearity parameter as functions of the system energy and the external signal frequency are found for the cases of nonlinear pendulum and double well potential. PACS: 02.50.-r; 05.10.Gg; 05.45.-a
منابع مشابه
Primary resonance of an Euler-Bernoulli nano-beam modelled with second strain gradient
In the present manuscript, the second strain gradient (SSG) is utilized to investigate the primary resonance of a nonlinear Euler-Bernoulli nanobeam is analyzed in this paper...
متن کاملApplications of Two-dimensional Parameter-induced Stochastic Resonance in Nonlinear Image Processing
Applications of Two-dimensional Parameter-induced Stochastic Resonance in Nonlinear Image Processing Bohou Xu1 Summary Stochastic resonance is a mechanical concept and may be used to image processing. This paper aims to develop an elementary theory of two-dimensional parameter-induced stochastic resonance (PSR) in order to contribute a new approach to nonlinear image processing. For tackling ap...
متن کاملStochastic resonance
Over the last two decades, stochastic resonance has continuously attracted considerable attention. The term is given to a phenomenon that is manifest in nonlinear systems whereby generally feeble input information (such as a weak signal) can be be amplified and optimized by the assistance of noise. The effect requires three basic ingredients: (i) an energetic activation barrier or, more general...
متن کاملStochastic resonance in a suspension of magnetic dipoles under shear flow.
We show that a magnetic dipole in a shear flow under the action of an oscillating magnetic field displays stochastic resonance in the linear response regime. To this end, we compute the classical quantifiers of stochastic resonance, i.e., the signal to noise ratio, the escape time distribution, and the mean first passage time. We also discuss the limitations and role of the linear response theo...
متن کاملNonlinear Signal Propagation Enhanced by noise via Stochastic Resonance
A model is developed for a nonlinear line of coupled noisy threshold elements. The propagation on the line of various information-carrying signals, periodic, aperiodic or random, is analyzed. Different measures quantifying the efficacy of the propagation are calculated, including signal-to-noise ratio, cross-correlation measures, information-theoretic measures and propagation length. These meas...
متن کامل