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Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach - Nils Berglund, Barbara Gentz
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ISBN: 9781849965477

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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. Nils Berglund, Barbara Gentz, Books, Science and Nature, Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach Books>Science and Nature, Springer London

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Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach - Berglund, Nils / Gentz, Barbara
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ISBN: 9781849965477

ID: 10983055

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. Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach Berglund, Nils / Gentz, Barbara, Springer

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Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach - Berglund, Nils Gentz, Barbara
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Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach - Taschenbuch

2010

ISBN: 9781849965477

[ED: Softcover], [PU: Springer, Berlin], Stochastic Differential Equations have become increasingly important in modelling complex systems in physics, chemistry, biology, climatology and other fields. This book examines and provides systems for practitioners to use, and provides a number of case studies to show how they can work in practice.2010. xiii, 276 S. 57 SW-Abb. 235 mmVersandfertig in über 4 Wochen

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Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach - Nils Berglund
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Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach - Taschenbuch

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Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach Noise-Induced-Phenomena-in-Slow-Fast-Dynamical-Systems~~Nils-Berglund Science/Tech>Statistics & Probability>Statistics & Probability Paperback, Springer London

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Noise-Induced Phenomena in Slow-Fast Dynamical Systems - Nils Berglund; Barbara Gentz
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2010, ISBN: 9781849965477

Gebundene Ausgabe, ID: 16179657

Softcover reprint of hardcover 1st ed. 2006, Softcover, Buch, [PU: Springer London Ltd]

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Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach
Autor:

Berglund, Nils; Gentz, Barbara

Titel:

Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach

ISBN-Nummer:

1849965471

Stochastic Differential Equations have become increasingly important in modelling complex systems in physics, chemistry, biology, climatology and other fields. This book examines and provides systems for practitioners to use, and provides a number of case studies to show how they can work in practice.

Detailangaben zum Buch - Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach


EAN (ISBN-13): 9781849965477
ISBN (ISBN-10): 1849965471
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: SPRINGER VERLAG GMBH
289 Seiten
Gewicht: 0,435 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 16.12.2011 16:17:35
Buch zuletzt gefunden am 21.10.2016 21:04:05
ISBN/EAN: 1849965471

ISBN - alternative Schreibweisen:
1-84996-547-1, 978-1-84996-547-7

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