Dissipative Lattice 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 Dissipative Lattice Dynamical Systems write by Xiaoying Han. This book was released on 2023-03-14. Dissipative Lattice Dynamical Systems available in PDF, EPUB and Kindle. There is an extensive literature in the form of papers (but no books) on lattice dynamical systems. The book focuses on dissipative lattice dynamical systems and their attractors of various forms such as autonomous, nonautonomous and random. The existence of such attractors is established by showing that the corresponding dynamical system has an appropriate kind of absorbing set and is asymptotically compact in some way.There is now a very large literature on lattice dynamical systems, especially on attractors of all kinds in such systems. We cannot hope to do justice to all of them here. Instead, we have focused on key areas of representative types of lattice systems and various types of attractors. Our selection is biased by our own interests, in particular to those dealing with biological applications. One of the important results is the approximation of Heaviside switching functions in LDS by sigmoidal functions.Nevertheless, we believe that this book will provide the reader with a solid introduction to the field, its main results and the methods that are used to obtain them.
Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems
Dynamics of Coupled Map Lattices and of Related Spatially Extended 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 Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems write by Jean-René Chazottes. This book was released on 2005-07-06. Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems available in PDF, EPUB and Kindle. This book is about the dynamics of coupled map lattices (CML) and of related spatially extended systems. It will be useful to post-graduate students and researchers seeking an overview of the state-of-the-art and of open problems in this area of nonlinear dynamics. The special feature of this book is that it describes the (mathematical) theory of CML and some related systems and their phenomenology, with some examples of CML modeling of concrete systems (from physics and biology). More precisely, the book deals with statistical properties of (weakly) coupled chaotic maps, geometric aspects of (chaotic) CML, monotonic spatially extended systems, and dynamical models of specific biological systems.
Evolution Inclusions and Variation Inequalities for Earth Data Processing III
Evolution Inclusions and Variation Inequalities for Earth Data Processing III - 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 Evolution Inclusions and Variation Inequalities for Earth Data Processing III write by Mikhail Z. Zgurovsky. This book was released on 2012-05-22. Evolution Inclusions and Variation Inequalities for Earth Data Processing III available in PDF, EPUB and Kindle. In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems. This approach is used to solve problems in climate research, geophysics, aerohydrodynamics, chemical kinetics or fluid dynamics. As in the previous volumes, the authors present a toolbox of mathematical equations. The book is based on seminars and lecture courses on multi-valued and non-linear analysis and their geophysical application.
Chaotic Behaviour of Deterministic Dissipative Systems
Chaotic Behaviour of Deterministic Dissipative 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 Chaotic Behaviour of Deterministic Dissipative Systems write by Milos Marek. This book was released on 1995-07-20. Chaotic Behaviour of Deterministic Dissipative Systems available in PDF, EPUB and Kindle. This graduate text surveys both the theoretical and experimental aspects of deterministic chaotic behaviour.
Global Attractors Of Nonautonomous Dissipative Dynamical Systems
Global Attractors Of Nonautonomous 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 Nonautonomous Dissipative Dynamical Systems write by David N Cheban. This book was released on 2004-11-29. Global Attractors Of Nonautonomous Dissipative Dynamical Systems 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. Intended for experts in qualitative theory of differential equations, dynamical systems and their applications, this accessible book can also serve as an important resource for senior students and lecturers.
