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2 results on '"37H10, 37H99, 60H10"'

1. A random dynamical systems perspective on stochastic resonance

Author

Cherubini, Anna Maria, Lamb, Jeroen S. W., Rasmussen, Martin, and Sato, Yuzuru

Subjects
Mathematics - Dynamical Systems, 37H10, 37H99, 60H10
Abstract

We study stochastic resonance in an over-damped approximation of the stochastic Duffing oscillator from a random dynamical systems point of view. We analyse this problem in the general framework of random dynamical systems with a nonautonomous forcing. We prove the existence of a unique global attracting random periodic orbit and a stationary periodic measure. We use the stationary periodic measure to define an indicator for the stochastic resonance.

Published
2015

2. A random dynamical systems perspective on stochastic resonance

Author

Jeroen S. W. Lamb, Anna Maria Cherubini, Yuzuru Sato, Martin Rasmussen, Cherubini, Anna Maria, Lamb, Jeroen, Rasmussen, Martin, Sato, Yuzuru, Engineering & Physical Science Research Council (EPSRC), and Commission of the European Communities

Subjects
random attractors, RANDOM PERIODIC-SOLUTIONS, General Mathematics, Mathematics, Applied, General Physics and Astronomy, Duffing equation, Dynamical Systems (math.DS), 37H10, 37H99, 60H10, 01 natural sciences, Measure (mathematics), Markov measures, 0102 Applied Mathematics, Attractor, FOS: Mathematics, Point (geometry), stochastic resonance, Statistical physics, Mathematics - Dynamical Systems, 0101 mathematics, Mathematical Physics, Mathematics, ATTRACTORS, Science & Technology, Forcing (recursion theory), Physics, Applied Mathematics, 010102 general mathematics, Perspective (graphical), nonautonomous random dynamical systems, stochastic resonance, Markov measures, random attractors, Statistical and Nonlinear Physics, Stochastic resonance (sensory neurobiology), Physics, Mathematical, 010101 applied mathematics, ORDINARY DIFFERENTIAL-EQUATIONS, Ordinary differential equation, Physical Sciences, nonautonomous random dynamical systems
Abstract

We study stochastic resonance in an over-damped approximation of the stochastic Duffing oscillator from a random dynamical systems point of view. We analyse this problem in the general framework of random dynamical systems with a nonautonomous forcing. We prove the existence of a unique global attracting random periodic orbit and a stationary periodic measure. We use the stationary periodic measure to define an indicator for the stochastic resonance.

Published
2017

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