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Attractors for infinite-dimensional non-autonomous dynamical systems

2012-09-25 Mathematics
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Release : 2012-09-25
Genre : Mathematics
Kind : eBook
Book Rating : 817/5 ( reviews)

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Book Synopsis Attractors for infinite-dimensional non-autonomous dynamical systems by : Alexandre Carvalho

Download or read book Attractors for infinite-dimensional non-autonomous dynamical systems written by Alexandre Carvalho. This book was released on 2012-09-25. Available in PDF, EPUB and Kindle. Book excerpt: The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence. The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.

Attractors for infinite-dimensional non-autonomous dynamical systems

2012-09-25 Mathematics
Download Attractors for infinite-dimensional non-autonomous dynamical systems PDF Online Free

Author :
Release : 2012-09-25
Genre : Mathematics
Kind : eBook
Book Rating : 814/5 ( reviews)

GET EBOOK


Book Synopsis Attractors for infinite-dimensional non-autonomous dynamical systems by : Alexandre Carvalho

Download or read book Attractors for infinite-dimensional non-autonomous dynamical systems written by Alexandre Carvalho. This book was released on 2012-09-25. Available in PDF, EPUB and Kindle. Book excerpt: The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence. The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.

Non-autonomous infinite-dimensional dynamical systems and their attractors

1992
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Release : 1992
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Non-autonomous infinite-dimensional dynamical systems and their attractors by : V. V. Čepyžov

Download or read book Non-autonomous infinite-dimensional dynamical systems and their attractors written by V. V. Čepyžov. This book was released on 1992. 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.

Nonautonomous Dynamical Systems

2011-08-17 Mathematics
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Release : 2011-08-17
Genre : Mathematics
Kind : eBook
Book Rating : 713/5 ( reviews)

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Book Synopsis Nonautonomous Dynamical Systems by : Peter E. Kloeden

Download or read book Nonautonomous Dynamical Systems written by Peter E. Kloeden. This book was released on 2011-08-17. Available in PDF, EPUB and Kindle. Book excerpt: The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched. With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.

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