Monotone Nonautonomous Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Monotone Nonautonomous Dynamical Systems write by David N. Cheban. This book was released on . Monotone Nonautonomous Dynamical Systems available in PDF, EPUB and Kindle.
Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition)
Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition) write by David N Cheban. This book was released on 2014-12-15. Global Attractors Of Non-autonomous Dynamical And Control Systems (2nd Edition) available in PDF, EPUB and Kindle. The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor. From an in-depth introduction to the different types of dissipativity and attraction, the book takes a comprehensive look at the connections between them, and critically discusses applications of general results to different classes of differential equations.The new Chapters 15-17 added to this edition include some results concerning Control Dynamical Systems — the global attractors, asymptotic stability of switched systems, absolute asymptotic stability of differential/difference equations and inclusions — published in the works of author in recent years.
An Introduction To Nonautonomous Dynamical Systems And Their Attractors
An Introduction To Nonautonomous Dynamical Systems And Their Attractors - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction To Nonautonomous Dynamical Systems And Their Attractors write by Peter Kloeden. This book was released on 2020-11-25. An Introduction To Nonautonomous Dynamical Systems And Their Attractors available in PDF, EPUB and Kindle. The nature of time in a nonautonomous dynamical system is very different from that in autonomous systems, which depend only on the time that has elapsed since starting rather than on the actual time itself. Consequently, limiting objects may not exist in actual time as in autonomous systems. New concepts of attractors in nonautonomous dynamical system are thus required.In addition, the definition of a dynamical system itself needs to be generalised to the nonautonomous context. Here two possibilities are considered: two-parameter semigroups or processes and the skew product flows. Their attractors are defined in terms of families of sets that are mapped onto each other under the dynamics rather than a single set as in autonomous systems. Two types of attraction are now possible: pullback attraction, which depends on the behaviour from the system in the distant past, and forward attraction, which depends on the behaviour of the system in the distant future. These are generally independent of each other.The component subsets of pullback and forward attractors exist in actual time. The asymptotic behaviour in the future limit is characterised by omega-limit sets, in terms of which form what are called forward attracting sets. They are generally not invariant in the conventional sense, but are asymptotically invariant in general and, if the future dynamics is appropriately uniform, also asymptotically negatively invariant.Much of this book is based on lectures given by the authors in Frankfurt and Wuhan. It was written mainly when the first author held a 'Thousand Expert' Professorship at the Huazhong University of Science and Technology in Wuhan.
Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems
Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems write by Hal L. Smith. This book was released on 1995. Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems available in PDF, EPUB and Kindle. This book presents comprehensive treatment of a rapidly developing area with many potential applications: the theory of monotone dynamical systems and the theory of competitive and cooperative differential equations. The primary aim is to provide potential users of the theory with techniques, results, and ideas useful in applications, while at the same time providing rigorous proofs. Among the topics discussed in the book are continuous-time monotone dynamical systems, and quasimonotone and nonquasimonotone delay differential equations. The book closes with a discussion of applications to quasimonotone systems of reaction-diffusion type. Throughout the book, applications of the theory to many mathematical models arising in biology are discussed. Requiring a background in dynamical systems at the level of a first graduate course, this book is useful to graduate students and researchers working in the theory of dynamical systems and its applications.
Global Attractors of Non-autonomous Dissipative Dynamical Systems
Global Attractors of Non-autonomous Dissipative Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Global Attractors of Non-autonomous Dissipative Dynamical Systems write by David N. Cheban. This book was released on 2004. Global Attractors of Non-autonomous Dissipative Dynamical Systems available in PDF, EPUB and Kindle. - The book is intended to the experts in qualitative theory of differential equations, dynamical systems and their applications
