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Six Lectures on Dynamical Systems

1996 Mathematics
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Release : 1996
Genre : Mathematics
Kind : eBook
Book Rating : 483/5 ( reviews)

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Book Synopsis Six Lectures on Dynamical Systems by : Bernd Aulbach

Download or read book Six Lectures on Dynamical Systems written by Bernd Aulbach. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of six articles covering different facets of the mathematical theory of dynamical systems. The topics range from topological foundations through invariant manifolds, decoupling, perturbations and computations to control theory. All contributions are based on a sound mathematical analysis. Some of them provide detailed proofs while others are of a survey character. In any case, emphasis is put on motivation and guiding ideas. Many examples are included.The papers of this volume grew out of a tutorial workshop for graduate students in mathematics held at the University of Augsburg. Each of the contributions is self-contained and provides an in-depth insight into some topic of current interest in the mathematical theory of dynamical systems. The text is suitable for courses and seminars on a graduate student level.

Six Lectures on Random Dynamical Systems

1994
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Release : 1994
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Six Lectures on Random Dynamical Systems by : Ludwig Arnold

Download or read book Six Lectures on Random Dynamical Systems written by Ludwig Arnold. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Dynamical Systems, Structural Stability, and Their Applications

1992 Science
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Release : 1992
Genre : Science
Kind : eBook
Book Rating : 651/5 ( reviews)

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Book Synopsis Lectures on Dynamical Systems, Structural Stability, and Their Applications by : Kotik K. Lee

Download or read book Lectures on Dynamical Systems, Structural Stability, and Their Applications written by Kotik K. Lee. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt: The communication of knowledge on nonlinear dynamical systems, between the mathematicians working on the analytic approach and the scientists working mostly on the applications and numerical simulations has been less than ideal. This volume hopes to bridge the gap between books written on the subject by mathematicians and those written by scientists. The second objective of this volume is to draw attention to the need for cross-fertilization of knowledge between the physical and biological scientists. The third aim is to provide the reader with a personal guide on the study of global nonlinear dynamical systems.

Dynamical Systems

2011-06-10 Mathematics
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Release : 2011-06-10
Genre : Mathematics
Kind : eBook
Book Rating : 299/5 ( reviews)

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Book Synopsis Dynamical Systems by : C. Marchioro

Download or read book Dynamical Systems written by C. Marchioro. This book was released on 2011-06-10. Available in PDF, EPUB and Kindle. Book excerpt: Lectures: J. Guckenheimer: Bifurcations of dynamical systems.- J. Moser: Various aspects of integrable.- S. Newhouse: Lectures on dynamical systems.- Seminars: A. Chenciner: Hopf bifurcation for invariant tori.- M. Misiurewicz: Horseshoes for continuous mappings of an interval.

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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