Abstract
The stochastic amplification of a periodic signal in a truly nonlinear Fokker-Planck model, whose drift coefficient exhibits a functional dependence on the distribution function, is analyzed numerically by means of a finite-difference method. Our aim is to check the validity of basic concepts widely used in studying linear and/or undriven systems. A perturbation approach to numerically evaluate the generalized susceptibility of the model by means of the linear response theory is tested and found to be adequate for weak driving fields. We also check the validity of the Floquet theory and the H theorem for which no extension to the case of truly nonlinear driven systems exists. The influence of the functional nonlinearity on the typical stochastic resonance effects is pointed out. \textcopyright{} 1996 The American Physical Society.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
