Gros C. Complex and Adaptive Dynamical Systems: A Primer

Springer, 2010. - 344 pages. Over the last four decades there has been extensive development in the theory of dynamical systems. This book aims at a wide audience where the first four chapters have been used for an undergraduate course in Dynamical Systems. Material from the last two chapters and from the appendices has been used quite a lot for master and PhD courses. All chapters are concluded by an exercise section. The book is also directed...

World Scientific Publishing Company, 2004. - 528 pages. 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 c...

World Scientific Publishing Company, 2006. - 356 pages. Von Neumann made fundamental contributions to Computing and he had a keen interest in Dynamical Systems, specifically Hydrodynamic Turbulence. This book, offering a state-of-the-art collection of papers in computational dynamical systems, is dedicated to the memory of von Neumann. Including contributions from J.E. Marsden, P.J. Holmes, M. Shub, A. Iserles, M. Dellnitz and J. Guckenheimer,...

Princeton University Press, 2008. - 976 pages. Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chem...

Название: Hirsch M. ,Smale S. , Devaney R. , Differential Equations, Dynamical Systems, and an Introduction to Chaos. Издательство: Academic. Год: 2003. ISBN: 0123497035. Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the stand...

Springer, 2011. - 538 pages. In a dynamical system, transients are temporal evolutions preceding the asymptotic dynamics. Transient dynamics can be more relevant than the asymptotic states of the system in terms of the observation, modeling, prediction, and control of the system. As a result, transients are important to dynamical systems arising from a wide range of disciplines such as physics, chemistry, biology, engineering, economics, and eve...

World Scientific Publishing, 1992, 454 pages. This book is based on a graduate course for scientists and engineers. The author's style is clear, formulations of mathematical results are precise. The book helps the reader to create a good global picture of the theory of dynamical systems. The author has gathered a considerable number of facts about dynamical systems in this book, including almost 1000 references, so that it can also serve as a ha...

World Scientific Publishing Company, 2004. - 408 pages. This book is an introduction to the application of nonlinear dynamics to problems of stability, chaos and turbulence arising in continuous media and their connection to dynamical systems. With an emphasis on the understanding of basic concepts, it should be of interest to nearly any science-oriented undergraduate and potentially to anyone who wants to learn about recent advances in the fiel...

Springer. Second, Expanded and Revised Edition. General Ergodic Theory of Groups of Measure Preserving Transformations, Ergodic Theory of Smooth Dynamical Systems, Dynamical Systems on Homogeneous Spaces, The Dynamics of Billiard Flows in Rational Polygons, Dynamical Systems of Statistical Mechanics and Kinetic Equations.

World Scientific Publishing Company, 2011. - 268 pages. This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject. This edited volume presents a variety of fascinating topics of current interest and problems arising in the st...