Ergodic Theory Analysis And Efficient Simulation Of Dynamical Systems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Ergodic Theory Analysis And Efficient Simulation Of Dynamical Systems PDF full book. Access full book title Ergodic Theory Analysis And Efficient Simulation Of Dynamical Systems.
| 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 | : Geon Ho Choe |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 468 |
| Release | : 2005-12-08 |
| Genre | : Mathematics |
| ISBN | : 3540273050 |
Download Computational Ergodic Theory Book in PDF, ePub and Kindle
Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. The computer experiments are simple but they have close ties with theoretical implications. Even the researchers in the field can benefit by checking their conjectures, which might have been regarded as unrealistic to be programmed easily, against numerical output using some of the ideas in the book. One last remark: The last chapter explains the relation between entropy and data compression, which belongs to information theory and not to ergodic theory. It will help students to gain an understanding of the digital technology that has shaped the modern information society.
| Author | : Péter Koltai |
| Publisher | : Logos Verlag Berlin GmbH |
| Total Pages | : 162 |
| Release | : 2011 |
| Genre | : |
| ISBN | : 3832527524 |
Download Efficient Approximation Methods for the Global Long-term Behavior of Dynamical Systems Book in PDF, ePub and Kindle
Fur die Analyse des Langzeitverhaltens dynamischer Systeme werden in dieser Dissertation drei neue Ansatze, basierend auf Transferoperator-Methoden, zur Entwicklung effizienter Algorithmen vorgestellt. Zuerst leiten wir eine Diskretisierung auf dunnen Gittern her, um den Fluch der Dimension in den Griff zu bekommen. Die zweite Methode behandelt den infinitesimalen Generator der Transferoperator-Halbgruppe fur zeit-kontinuierliche Systeme. Als Drittes benutzen wir mean-field-Theorie, um die Dynamik von Subsystemen zu beschreiben, wobei besonderes Augenmerk auf die Konformationsanalyse in der Molekuldynamik gerichtet wird. Des Weiteren werden Bedingungen hergeleitet, unter welchen die Galerkin-Projektion des Transferoperators mit einer kleinen zufalligen Storung des zugrunde liegenden Systems in Verbindung gebracht werden kann. In this thesis three new transfer operator based approaches are developed for the analysis of the long-term behavior of dynamical systems. First, a sparse grid discretization is derived in order to deal with the "curse of dimension". The second method considers the infinitesimal generator of the transfer operator semigroup for continuous-time systems. The third method uses mean field theory to describe the dynamics of subsystems; here the main attention is devoted to conformation analysis in molecular dynamics. Further, conditions are derived such that the Galerkin projection of the transfer operator can be related to a small random perturbation of the underlying system.
| Author | : Nikolay Kuznetsov |
| Publisher | : Springer Nature |
| Total Pages | : 555 |
| Release | : 2020-07-02 |
| Genre | : Computers |
| ISBN | : 3030509877 |
Download Attractor Dimension Estimates for Dynamical Systems: Theory and Computation Book in PDF, ePub and Kindle
This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carathéodory dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite-dimensional Euclidean spaces or on manifolds. It also discusses stability investigations using estimates based on Lyapunov functions and adapted metrics. Moreover, it introduces various types of Lyapunov dimensions of dynamical systems with respect to an invariant set, based on local, global and uniform Lyapunov exponents, and derives analytical formulas for the Lyapunov dimension of the attractors of the Hénon and Lorenz systems. Lastly, the book presents estimates of the topological entropy for general dynamical systems in metric spaces and estimates of the topological dimension for orbit closures of almost periodic solutions to differential equations.
| Author | : Jan Awrejcewicz |
| Publisher | : Springer |
| Total Pages | : 413 |
| Release | : 2018-09-01 |
| Genre | : Mathematics |
| ISBN | : 3319965980 |
Download Dynamical Systems in Theoretical Perspective Book in PDF, ePub and Kindle
This book focuses on theoretical aspects of dynamical systems in the broadest sense. It highlights novel and relevant results on mathematical and numerical problems that can be found in the fields of applied mathematics, physics, mechanics, engineering and the life sciences. The book consists of contributed research chapters addressing a diverse range of problems. The issues discussed include (among others): numerical-analytical algorithms for nonlinear optimal control problems on a large time interval; gravity waves in a reservoir with an uneven bottom; value distribution and growth of solutions for certain Painlevé equations; optimal control of hybrid systems with sliding modes; a mathematical model of the two types of atrioventricular nodal reentrant tachycardia; non-conservative instability of cantilevered nanotubes using the Cell Discretization Method; dynamic analysis of a compliant tensegrity structure for use in a gripper application; and Jeffcott rotor bifurcation behavior using various models of hydrodynamic bearings.
| Author | : Eusebius Doedel |
| Publisher | : World Scientific |
| Total Pages | : 357 |
| Release | : 2006-03-10 |
| Genre | : Science |
| ISBN | : 9814478989 |
Download Modeling And Computations In Dynamical Systems: In Commemoration Of The 100th Anniversary Of The Birth Of John Von Neumann Book in PDF, ePub and Kindle
The Hungarian born mathematical genius, John von Neumann, was undoubtedly one of the greatest and most influential scientific minds of the 20th century. 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, this book offers a unique combination of theoretical and applied research in areas such as geometric integration, neural networks, linear programming, dynamical astronomy, chemical reaction models, structural and fluid mechanics.The contents of this book was also published as a special issue of the International Journal of Bifurcation and Chaos — March 2005.
| Author | : Robert A. Meyers |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 1885 |
| Release | : 2011-10-05 |
| Genre | : Mathematics |
| ISBN | : 1461418054 |
Download Mathematics of Complexity and Dynamical Systems Book in PDF, ePub and Kindle
Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
| Author | : Mohammad S. Obaidat |
| Publisher | : Springer |
| Total Pages | : 368 |
| Release | : 2018-11-20 |
| Genre | : Technology & Engineering |
| ISBN | : 3030014703 |
Download Simulation and Modeling Methodologies, Technologies and Applications Book in PDF, ePub and Kindle
This book highlights a set of selected, revised and extended papers from the 7th International Conference on Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH 2017), held in Madrid, Spain, on July 26 to 28, 2017. The conference brought together researchers, engineers and practitioners whose work involves methodologies in and applications of modeling and simulation. The papers showcased here represent the very best papers from the Conference, and report on a broad range of new and innovative solutions.
| Author | : S. Barry Cooper |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 842 |
| Release | : 2007-06-11 |
| Genre | : Computers |
| ISBN | : 3540730001 |
Download Computation and Logic in the Real World Book in PDF, ePub and Kindle
This book constitutes the refereed proceedings of the Third International Conference on Computability in Europe, CiE 2007, held in Sienna, Italy, in June 2007. The 50 revised full papers presented together with 36 invited papers were carefully reviewed and selected from 167 submissions.
| Author | : Alexander Mielke |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 704 |
| Release | : 2006-10-14 |
| Genre | : Mathematics |
| ISBN | : 3540356576 |
Download Analysis, Modeling and Simulation of Multiscale Problems Book in PDF, ePub and Kindle
This book reports recent mathematical developments in the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2006. Multiscale problems occur in many fields of science, such as microstructures in materials, sharp-interface models, many-particle systems and motions on different spatial and temporal scales in quantum mechanics or in molecular dynamics. The book presents current mathematical foundations of modeling, and proposes efficient numerical treatment.
