Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 477. N� de r�f. du vendeur C9781461581833

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Random Perturbations of Dynamical Systems

Yuri Kifer

Edit� par Birkh�user Boston, 2012

ISBN 10 : 1461581834 ISBN 13 : 9781461581833

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Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Mathematicians often face the question to which extent mathematical models describe processes of the real world. These models are derived from experimental data, hence they describe real phenomena only approximately. Thus a mathematical approach must begin with choosing properties which are not very sensitive to small changes in the model, and so may be viewed as properties of the real process. In particular, this concerns real processes which can be described by means of ordinary differential equations. By this reason different notions of stability played an important role in the qualitative theory of ordinary differential equations commonly known nowdays as the theory of dynamical systems. Since physical processes are usually affected by an enormous number of small external fluctuations whose resulting action would be natural to consider as random, the stability of dynamical systems with respect to random perturbations comes into the picture. There are differences between the study of stability properties of single trajectories, i. e. , the Lyapunov stability, and the global stability of dynamical systems. The stochastic Lyapunov stability was dealt with in Hasminskii [Has]. In this book we are concerned mainly with questions of global stability in the presence of noise which can be described as recovering parameters of dynamical systems from the study of their random perturbations. The parameters which is possible to obtain in this way can be considered as stable under random perturbations, and so having physical sense. -1- Our set up is the following. N� de r�f. du vendeur 9781461581833

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Random Perturbations of Dynamical Systems (Progress in Probability)

Yuri Kifer

Edit� par Birkhaeuser, 2012

ISBN 10 : 1461581834 ISBN 13 : 9781461581833

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Paperback. Etat : Brand New. reprint edition. 302 pages. 9.01x5.98x0.69 inches. In Stock. N� de r�f. du vendeur x-1461581834

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Random Perturbations of Dynamical Systems

Yuri Kifer

Edit� par Birkh�user Boston, 2012

ISBN 10 : 1461581834 ISBN 13 : 9781461581833

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Mathematicians often face the question to which extent mathematical models describe processes of the real world. These models are derived from experimental data, hence they describe real phenomena only approximately. Thus a mathematical approach must begin . N� de r�f. du vendeur 4200441

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Random Perturbations of Dynamical Systems

Yuri Kifer

Edit� par Birkh�user Boston Mai 2012, 2012

ISBN 10 : 1461581834 ISBN 13 : 9781461581833

Neuf Taschenbuch

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Mathematicians often face the question to which extent mathematical models describe processes of the real world. These models are derived from experimental data, hence they describe real phenomena only approximately. Thus a mathematical approach must begin with choosing properties which are not very sensitive to small changes in the model, and so may be viewed as properties of the real process. In particular, this concerns real processes which can be described by means of ordinary differential equations. By this reason different notions of stability played an important role in the qualitative theory of ordinary differential equations commonly known nowdays as the theory of dynamical systems. Since physical processes are usually affected by an enormous number of small external fluctuations whose resulting action would be natural to consider as random, the stability of dynamical systems with respect to random perturbations comes into the picture. There are differences between the study of stability properties of single trajectories, i. e. , the Lyapunov stability, and the global stability of dynamical systems. The stochastic Lyapunov stability was dealt with in Hasminskii [Has]. In this book we are concerned mainly with questions of global stability in the presence of noise which can be described as recovering parameters of dynamical systems from the study of their random perturbations. The parameters which is possible to obtain in this way can be considered as stable under random perturbations, and so having physical sense. -1- Our set up is the following. 304 pp. Englisch. N� de r�f. du vendeur 9781461581833

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