An investigation of stochastic resonance using the Fokker-Planck equation and finite element method

0434691 - ÚTAM 2015 RIV CZ eng A - Abstract
Král, Radomil - Náprstek, Jiří - Pospíšil, Stanislav
An investigation of stochastic resonance using the Fokker-Planck equation and finite element method.
Computational Mechanics 2014 - Book of extended abstracts. Plzeň: University of West Bohemia, 2014 - (Adámek, V.). s. 65-66. ISBN 978-80-261-0429-2.
[Computational mechanics 2014. Conference with international participation /30./. 03.11.2014-05.11.2014, Špičák]
R&D Projects: GA ČR(CZ) GP14-34467P
Institutional support: RVO:68378297
Keywords : Fokker-Planck equation * finite element method * stochastic resonance
Subject RIV: JM - Building Engineering

The stochastic resonance (SR) belongs to the nonlinear dynamic phenomena with a decisive role of the random noise. It has been observed and studied in a large variety of different areas of physics, e.g., in modern communication technologies, in a laser optics or in ferromagnets and ferroelectrics, see [4]. It was found even in the biological systems [1] or recently also in the problems of a wind induced vibration [5]. The physical mechanism of SR consists in the synchronization of concurrently acting additive deterministic input (such as periodic forcing) and random excitation (such as additive white noise) in the nonlinear oscillator with doublewell potential. With optimal dose of noise, the periodicity of the activated hopping response between the local equilibrium states (potential minima) reaches its maximum.
Permanent Link: http://hdl.handle.net/11104/0238673