Stochastic Resonance: A Mathematical Approach in the Small Noise Limit
About this Title
Samuel Herrmann, Université de Bourgogne, Dijon, France, Peter Imkeller, Humboldt-Universität zu Berlin, Berlin, Germany, Ilya Pavlyukevich, Friedrich-Schiller-Universität Jena, Jena, Germany and Dierk Peithmann, Essen, Germany
Publication: Mathematical Surveys and Monographs
Publication Year:
2014; Volume 194
ISBNs: 978-1-4704-1049-0 (print); 978-1-4704-1473-3 (online)
DOI: https://doi.org/http://dx.doi.org/10.1090/surv/194
MathSciNet review: 3155413
MSC: Primary 60H10; Secondary 34F15, 37H10, 60F10, 60J60, 60J70, 65C50
Table of Contents
Front/Back Matter
Chapters
- Chapter 1. Heuristics of noise induced transitions
- Chapter 2. Transitions for time homogeneous dynamical systems with small noise
- Chapter 3. Semiclassical theory of stochastic resonance in dimension 1
- Chapter 4. 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