Topological And Measurable Dynamics Of Lorenz Maps PDF Download
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Author | : Matthias St. Pierre |
Publisher | : |
Total Pages | : 144 |
Release | : 1999 |
Genre | : Lorenz equations |
ISBN | : |
Download Topological and Measurable Dynamics of Lorenz Maps Book in PDF, ePub and Kindle
Author | : Bernold Fiedler |
Publisher | : Springer Science & Business Media |
Total Pages | : 816 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642565891 |
Download Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems Book in PDF, ePub and Kindle
Presenting very recent results in a major research area, this book is addressed to experts and non-experts in the mathematical community alike. The applied issues range from crystallization and dendrite growth to quantum chaos, conveying their significance far into the neighboring disciplines of science.
Author | : A.N. Sharkovsky |
Publisher | : Springer Science & Business Media |
Total Pages | : 268 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 940158897X |
Download Dynamics of One-Dimensional Maps Book in PDF, ePub and Kindle
maps whose topological entropy is equal to zero (i.e., maps that have only cyeles of pe 2 riods 1,2,2 , ... ) are studied in detail and elassified. Various topological aspects of the dynamics of unimodal maps are studied in Chap ter 5. We analyze the distinctive features of the limiting behavior of trajectories of smooth maps. In particular, for some elasses of smooth maps, we establish theorems on the number of sinks and study the problem of existence of wandering intervals. In Chapter 6, for a broad elass of maps, we prove that almost all points (with respect to the Lebesgue measure) are attracted by the same sink. Our attention is mainly focused on the problem of existence of an invariant measure absolutely continuous with respect to the Lebesgue measure. We also study the problem of Lyapunov stability of dynamical systems and determine the measures of repelling and attracting invariant sets. The problem of stability of separate trajectories under perturbations of maps and the problem of structural stability of dynamical systems as a whole are discussed in Chap ter 7. In Chapter 8, we study one-parameter families of maps. We analyze bifurcations of periodic trajectories and properties of the set of bifurcation values of the parameter, in eluding universal properties such as Feigenbaum universality.
Author | : Maria José Pacifico |
Publisher | : Springer Nature |
Total Pages | : 333 |
Release | : 2019-12-14 |
Genre | : Mathematics |
ISBN | : 3030168336 |
Download New Trends in One-Dimensional Dynamics Book in PDF, ePub and Kindle
This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in November 2016. Highlighting the latest results in one-dimensional dynamics and its applications, the contributions gathered here also celebrate the highly successful meeting, which brought together experts in the field, including many of Welington de Melo’s co-authors and former doctoral students. Sadly, Welington de Melo passed away shortly after the conference, so that the present volume became more a tribute to him. His role in the development of mathematics was undoubtedly an important one, especially in the area of low-level dynamics, and his legacy includes, in addition to many articles with fundamental contributions, books that are required reading for all newcomers to the field.
Author | : Henk Broer |
Publisher | : Springer Science & Business Media |
Total Pages | : 313 |
Release | : 2010-10-20 |
Genre | : Mathematics |
ISBN | : 1441968709 |
Download Dynamical Systems and Chaos Book in PDF, ePub and Kindle
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 towards researchers, where one of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory.
Author | : Antonio Galves |
Publisher | : American Mathematical Soc. |
Total Pages | : 370 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821828606 |
Download Differential Equations and Dynamical Systems Book in PDF, ePub and Kindle
This volume contains contributed papers authored by participants of a Conference on Differential Equations and Dynamical Systems which was held at the Instituto Superior Tecnico (Lisbon, Portugal). The conference brought together a large number of specialists in the area of differential equations and dynamical systems and provided an opportunity to celebrate Professor Waldyr Oliva's 70th birthday, honoring his fundamental contributions to the field. The volume constitutes anoverview of the current research over a wide range of topics, extending from qualitative theory for (ordinary, partial or functional) differential equations to hyperbolic dynamics and ergodic theory.
Author | : Jean-René Chazottes |
Publisher | : Springer Science & Business Media |
Total Pages | : 380 |
Release | : 2005-07-06 |
Genre | : Science |
ISBN | : 9783540242895 |
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.
Author | : Erik M. Bollt |
Publisher | : SIAM |
Total Pages | : 376 |
Release | : 2013-12-03 |
Genre | : Mathematics |
ISBN | : 1611972639 |
Download Applied and Computational Measurable Dynamics Book in PDF, ePub and Kindle
Until recently, measurable dynamics has been held as a highly theoretical mathematical topic with few generally known obvious links for practitioners in areas of applied mathematics. However, the advent of high-speed computers, rapidly developing algorithms, and new numerical methods has allowed for a tremendous amount of progress and sophistication in efforts to represent the notion of a transfer operator discretely but to high resolution. This book connects many concepts in dynamical systems with mathematical tools from areas such as graph theory and ergodic theory. The authors introduce practical tools for applications related to measurable dynamical systems, coherent structures, and transport problems. The new and fast-developing computational tools discussed throughout the book allow for detailed analysis of real-world problems that are simply beyond the reach of traditional methods.
Author | : |
Publisher | : |
Total Pages | : 756 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : |
Download Dissertationes Mathematicae Book in PDF, ePub and Kindle
Author | : Yongsheng Han |
Publisher | : |
Total Pages | : 110 |
Release | : 2002 |
Genre | : Besov spaces |
ISBN | : |
Download New Characterizations and Applications of Inhomogeneous Besov and Triebel-Lizorkin Spaces on Homogeneous Type Spaces and Fractals Book in PDF, ePub and Kindle