Stochastic resonance : a mathematical approach in the small noise limit /
Herrmann, Samuel,
Stochastic resonance : a mathematical approach in the small noise limit / Samuel Herrmann, Peter Imkeller, Ilya Pavlyukevich, Dierk Peithmann. - xvi, 189 pages : illustrations ; 27 cm. - Mathematical surveys and monographs ; volume 194 .
Includes bibliographical references (pages 183-187) and index.
Preface -- Introduction -- Heuristics of Noise Induced Transitions -- Transitions for time Homogeneous Dynamical Systems with Small Noise -- Semiclassical Theory of Stochastic Resonance in Dimension 1 -- Large Deviations and Transitions between Meta-Stable states of Dynamical Systems with Small Noise and Weak inhomogeneity -- Appendix A: Supplementary Tools -- Appendix B: Laplace's Method -- Bibliography -- Index
9781470410490 (hardback) RM287.21 1470410494 (alk. paper)
Stochastic partial differential equations.
Diffusion processes.
Stability.
Stochastic resonance : a mathematical approach in the small noise limit / Samuel Herrmann, Peter Imkeller, Ilya Pavlyukevich, Dierk Peithmann. - xvi, 189 pages : illustrations ; 27 cm. - Mathematical surveys and monographs ; volume 194 .
Includes bibliographical references (pages 183-187) and index.
Preface -- Introduction -- Heuristics of Noise Induced Transitions -- Transitions for time Homogeneous Dynamical Systems with Small Noise -- Semiclassical Theory of Stochastic Resonance in Dimension 1 -- Large Deviations and Transitions between Meta-Stable states of Dynamical Systems with Small Noise and Weak inhomogeneity -- Appendix A: Supplementary Tools -- Appendix B: Laplace's Method -- Bibliography -- Index
9781470410490 (hardback) RM287.21 1470410494 (alk. paper)
Stochastic partial differential equations.
Diffusion processes.
Stability.