Dissipative Lattice Dynamical Systems
Download Dissipative Lattice Dynamical Systems full books in PDF, epub, and Kindle. Read online free Dissipative Lattice Dynamical Systems ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Dissipative Lattice Dynamical Systems
Author | : Xiaoying Han,Peter Kloeden |
Publsiher | : World Scientific |
Total Pages | : 381 |
Release | : 2023-03-14 |
Genre | : Mathematics |
ISBN | : 9789811267772 |
Download Dissipative Lattice Dynamical Systems Book 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.
Global Attractors of Non autonomous Dissipative Dynamical Systems
Author | : David N. Cheban |
Publsiher | : World Scientific |
Total Pages | : 524 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9789812563088 |
Download Global Attractors of Non autonomous Dissipative Dynamical Systems Book 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.
Evolution Inclusions and Variation Inequalities for Earth Data Processing III
Author | : Mikhail Z. Zgurovsky,Pavlo O. Kasyanov,Oleksiy V. Kapustyan,José Valero,Nina V. Zadoianchuk |
Publsiher | : Springer Science & Business Media |
Total Pages | : 368 |
Release | : 2012-05-22 |
Genre | : Mathematics |
ISBN | : 9783642285127 |
Download Evolution Inclusions and Variation Inequalities for Earth Data Processing III Book 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
Author | : Milos Marek,Igor Schreiber |
Publsiher | : Cambridge University Press |
Total Pages | : 384 |
Release | : 1995-07-20 |
Genre | : Science |
ISBN | : 0521438306 |
Download Chaotic Behaviour of Deterministic Dissipative Systems Book in PDF, Epub and Kindle
This graduate text surveys both the theoretical and experimental aspects of deterministic chaotic behaviour.
Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems
Author | : Jean-René Chazottes,Bastien Fernandez |
Publsiher | : Springer Science & Business Media |
Total Pages | : 380 |
Release | : 2005-07-06 |
Genre | : Science |
ISBN | : 3540242899 |
Download Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems Book 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.
Continuous and Distributed Systems II
Author | : Viktor A. Sadovnichiy,Mikhail Z. Zgurovsky |
Publsiher | : Springer |
Total Pages | : 387 |
Release | : 2015-06-04 |
Genre | : Technology & Engineering |
ISBN | : 9783319190754 |
Download Continuous and Distributed Systems II Book in PDF, Epub and Kindle
As in the previous volume on the topic, the authors close the gap between abstract mathematical approaches, such as applied methods of modern algebra and analysis, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems, on the one hand and practical applications in nonlinear mechanics, optimization, decision making theory and control theory on the other. Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in biochemistry, geophysics, biology and climatology. This compilation will be of interest to mathematicians and engineers working at the interface of these fields. It presents selected works of the joint seminar series of Lomonosov Moscow State University and the Institute for Applied System Analysis at National Technical University of Ukraine “Kyiv Polytechnic Institute”. The authors come from Brazil, Germany, France, Mexico, Spain, Poland, Russia, Ukraine and the USA.
Discrete and Continuous Dynamical Systems
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 684 |
Release | : 2008 |
Genre | : Differentiable dynamical systems |
ISBN | : UOM:39015072621546 |
Download Discrete and Continuous Dynamical Systems Book in PDF, Epub and Kindle
Dissipative Solitons From Optics to Biology and Medicine
Author | : Nail Akhmediev,Adrian Ankiewicz |
Publsiher | : Springer Science & Business Media |
Total Pages | : 484 |
Release | : 2008-08-26 |
Genre | : Technology & Engineering |
ISBN | : 9783540782162 |
Download Dissipative Solitons From Optics to Biology and Medicine Book in PDF, Epub and Kindle
The dissipative soliton concept is a fundamental extension of the concept of solitons in conservative and integrable systems. It includes ideas from three major sources, namely standard soliton theory developed since the 1960s; nonlinear dynamics theory; and Prigogine's ideas of systems far from equilibrium. These three sources also correspond to the three component parts of this novel paradigm. This book explains the above principles in detail and gives the reader various examples.