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Topological Dynamics of Random Dynamical Systems

1997 Mathematics
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Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 572/5 ( reviews)

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Book Synopsis Topological Dynamics of Random Dynamical Systems by : Nguyen Dinh Cong

Download or read book Topological Dynamics of Random Dynamical Systems written by Nguyen Dinh Cong. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first systematic treatment of the theory of topological dynamics of random dynamical systems. A relatively new field, the theory of random dynamical systems unites and develops the classical deterministic theory of dynamical systems and probability theory, finding numerous applications in disciplines ranging from physics and biology to engineering, finance and economics. This book presents in detail the solutions to the most fundamental problems of topological dynamics: linearization of nonlinear smooth systems, classification, and structural stability of linear hyperbolic systems. Employing the tools and methods of algebraic ergodic theory, the theory presented in the book has surprisingly beautiful results showing the richness of random dynamical systems as well as giving a gentle generalization of the classical deterministic theory.

Random Dynamical Systems

2013-04-17 Mathematics
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Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 780/5 ( reviews)

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Book Synopsis Random Dynamical Systems by : Ludwig Arnold

Download or read book Random Dynamical Systems written by Ludwig Arnold. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: The first systematic presentation of the theory of dynamical systems under the influence of randomness, this book includes products of random mappings as well as random and stochastic differential equations. The basic multiplicative ergodic theorem is presented, providing a random substitute for linear algebra. On its basis, many applications are detailed. Numerous instructive examples are treated analytically or numerically.

Dynamics and Randomness

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 459/5 ( reviews)

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Book Synopsis Dynamics and Randomness by : Alejandro Maass

Download or read book Dynamics and Randomness written by Alejandro Maass. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the lectures given at the Conference on Dynamics and Randomness held at the Centro de Modelamiento Matematico of the Universidad de Chile from December 11th to 15th, 2000. This meeting brought together mathematicians, theoretical physicists and theoretical computer scientists, and graduate students interested in fields re lated to probability theory, ergodic theory, symbolic and topological dynam ics. We would like to express our gratitude to all the participants of the con ference and to the people who contributed to its organization. In particular, to Pierre Collet, Bernard Host and Mike Keane for their scientific advise. VVe want to thank especially the authors of each chapter for their well prepared manuscripts and the stimulating conferences they gave at Santiago. We are also indebted to our sponsors and supporting institutions, whose interest and help was essential to organize this meeting: ECOS-CONICYT, FONDAP Program in Applied Mathematics, French Cooperation, Fundacion Andes, Presidential Fellowship and Universidad de Chile. We are grateful to Ms. Gladys Cavallone for their excellent work during the preparation of the meeting as well as for the considerable task of unifying the typography of the different chapters of this book.

Smooth Ergodic Theory of Random Dynamical Systems

2014-01-15
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Release : 2014-01-15
Genre :
Kind : eBook
Book Rating : 193/5 ( reviews)

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Book Synopsis Smooth Ergodic Theory of Random Dynamical Systems by : Pei-Dong Liu

Download or read book Smooth Ergodic Theory of Random Dynamical Systems written by Pei-Dong Liu. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Nonautonomous and Random Dynamical Systems

2017-01-31 Mathematics
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Release : 2017-01-31
Genre : Mathematics
Kind : eBook
Book Rating : 470/5 ( reviews)

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Book Synopsis Applied Nonautonomous and Random Dynamical Systems by : Tomás Caraballo

Download or read book Applied Nonautonomous and Random Dynamical Systems written by Tomás Caraballo. This book was released on 2017-01-31. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently establishes a framework for non-autonomous dynamical systems, and in particular describes the various approaches currently available for analysing the long-term behaviour of non-autonomous problems. Here, the major focus is on the novel theory of pullback attractors, which is still under development. In turn, the third part represents the main body of the book, introducing the theory of random dynamical systems and random attractors and revealing how it may be a suitable candidate for handling realistic models with stochasticity. A discussion of future research directions serves to round out the coverage.

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