portada noise-induced phenomena in slow-fast dynamical systems: a sample-paths approach (en Inglés)

noise-induced phenomena in slow-fast dynamical systems: a sample-paths approach (en Inglés)

Formato

Libro Físico

Autor

Barbara Gentz

Nils Berglund

Editorial

Springer

Año

2010

Idioma

Inglés

N° páginas

276

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x1.5 cm

Peso

0.41 kg.

ISBN

1849965471

ISBN13

9781849965477

Categorías

Cálculo diferencial y ecuaciones
Probabilidad y estadística
Física matemática

noise-induced phenomena in slow-fast dynamical systems: a sample-paths approach (en Inglés)

Barbara Gentz (Autor) · Nils Berglund (Autor) · Springer · Tapa Blanda

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Reseña del libro "noise-induced phenomena in slow-fast dynamical systems: a sample-paths approach (en Inglés)"

Stochastic differential equations play an increasingly important role in modeling the dynamics of a large variety of systems in the natural sciences, and in technological applications. This book is aimed at advanced undergraduate and graduate students, and researchers in mathematics, physics, the natural sciences, and engineering. It presents a new constructive approach to the quantitative description of solutions to systems of stochastic differential equations evolving on well-separated timescales. The method, which combines techniques from stochastic analysis and singular perturbation theory, allows the domains of concentration for typical sample paths to be determined, and provides precise estimates on the transition probabilities between these domains. In addition to the detailed presentation of the set-up and mathematical results, applications to problems in physics, biology, and climatology are discussed. The emphasis lies on noise-induced phenomena such as stochastic resonance, hysteresis, excitability, and the reduction of bifurcation delay.