Simplicial Dynamical Systems PDF Download
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Author | : Ethan Akin |
Publisher | : American Mathematical Soc. |
Total Pages | : 215 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 0821813838 |
Download Simplicial Dynamical Systems Book in PDF, ePub and Kindle
A simplicial dynamical system is a simplicial map $g: K DEGREES* \rightarrow K$ where $K$ is a finite simplicial complex triangulating a compact polyhedron $X$ and $K DEGREES*$ is a proper subdivision of $K$, for example, the barycentric or any further subdivision. the dynamics of the asociated piecewise linear map $g: X X$ can be analyzed by using certain naturally related subshifts of finite type. Any continous map on $X$ can be $C DEGREES0$ approximated by such systems. Other examples yield interesting
Author | : Ethan Akin |
Publisher | : American Mathematical Society(RI) |
Total Pages | : 197 |
Release | : 2014-09-11 |
Genre | : Differentiable dynamical systems |
ISBN | : 9781470402587 |
Download Simplicial Dynamical Systems Book in PDF, ePub and Kindle
A simplicial dynamical system is a simplicial map $g: K DEGREES* \rightarrow K$ where $K$ is a finite simplicial complex triangulating a compact polyhedron $X$ and $K DEGREES*$ is a proper subdivision of $K$, for example, the barycentric or any further subdivision. the dynamics of the asociated piecewise linear map $g: X X$ can be analyzed by using certain naturally related subshifts of finite type. Any continous map on $X$ can be $C DEGREES0$ approximated by such systems. Other examples yield interesting
Author | : Anatole Katok |
Publisher | : Cambridge University Press |
Total Pages | : 828 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 9780521575577 |
Download Introduction to the Modern Theory of Dynamical Systems Book in PDF, ePub and Kindle
This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.
Author | : Yi Zhao |
Publisher | : World Scientific |
Total Pages | : 149 |
Release | : 2021-05-25 |
Genre | : Mathematics |
ISBN | : 9811226334 |
Download Simplicial Complexes In Complex Systems: In Search For Alternatives Book in PDF, ePub and Kindle
For the last few decades researchers from different fields gather their findings and knowledge trying to give a shape to the new science of complex systems. To address this problem, new tools and methods have to be established. A new, or more precisely an alternative, framework for the characterization of complex system was proposed. In this book we will introduce the applicability of applicability of simplicial complexes in the science of complex systems. After introducing the main definitions and properties of simplicial complexes necessary for representation and analysis of complex systems, we will illustrate the usefulness and versatility of tools and concepts related to the simplicial complexes.
Author | : Shankar P. Bhattacharyya |
Publisher | : CRC Press |
Total Pages | : 535 |
Release | : 2020-09-23 |
Genre | : Technology & Engineering |
ISBN | : 1000102564 |
Download Control of Uncertain Dynamic Systems Book in PDF, ePub and Kindle
This book is a collection of 34 papers presented by leading researchers at the International Workshop on Robust Control held in San Antonio, Texas in March 1991. The common theme tying these papers together is the analysis, synthesis, and design of control systems subject to various uncertainties. The papers describe the latest results in parametric understanding, H8 uncertainty, l1 optical control, and Quantitative Feedback Theory (QFT). The book is the first to bring together all the diverse points of view addressing the robust control problem and should strongly influence development in the robust control field for years to come. For this reason, control theorists, engineers, and applied mathematicians should consider it a crucial acquisition for their libraries.
Author | : Krzysztof R. Kozlowski |
Publisher | : Springer Science & Business Media |
Total Pages | : 490 |
Release | : 2009-11-15 |
Genre | : Technology & Engineering |
ISBN | : 1848829841 |
Download Robot Motion and Control 2009 Book in PDF, ePub and Kindle
Robot Motion Control 2009 presents very recent results in robot motion and control. Forty short papers have been chosen from those presented at the sixth International Workshop on Robot Motion and Control held in Poland in June 2009. The authors of these papers have been carefully selected and represent leading institutions in this field. The following recent developments are discussed: design of trajectory planning schemes for holonomic and nonholonomic systems with optimization of energy, torque limitations and other factors, new control algorithms for industrial robots, nonholonomic systems and legged robots, different applications of robotic systems in industry and everyday life, like medicine, education, entertainment and others, multiagent systems consisting of mobile and flying robots with their applications. The book is suitable for graduate students of automation and robotics, informatics and management, mechatronics, electronics and production engineering systems as well as scientists and researchers working in these fields.
Author | : Michel Coornaert |
Publisher | : Springer |
Total Pages | : 239 |
Release | : 2015-06-20 |
Genre | : Mathematics |
ISBN | : 3319197940 |
Download Topological Dimension and Dynamical Systems Book in PDF, ePub and Kindle
Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. The book examines how this invariant was successfully used by Elon Lindenstrauss and Benjamin Weiss to answer a long-standing open question about embeddings of minimal dynamical systems into shifts. A large number of revisions and additions have been made to the original text. Chapter 5 contains an entirely new section devoted to the Sorgenfrey line. Two chapters have also been added: Chapter 9 on amenable groups and Chapter 10 on mean topological dimension for continuous actions of countable amenable groups. These new chapters contain material that have never before appeared in textbook form. The chapter on amenable groups is based on Følner’s characterization of amenability and may be read independently from the rest of the book. Although the contents of this book lead directly to several active areas of current research in mathematics and mathematical physics, the prerequisites needed for reading it remain modest; essentially some familiarities with undergraduate point-set topology and, in order to access the final two chapters, some acquaintance with basic notions in group theory. Topological Dimension and Dynamical Systems is intended for graduate students, as well as researchers interested in topology and dynamical systems. Some of the topics treated in the book directly lead to research areas that remain to be explored.
Author | : Federico Battiston |
Publisher | : Springer Nature |
Total Pages | : 436 |
Release | : 2022-04-26 |
Genre | : Science |
ISBN | : 3030913740 |
Download Higher-Order Systems Book in PDF, ePub and Kindle
The book discusses the potential of higher-order interactions to model real-world relational systems. Over the last decade, networks have emerged as the paradigmatic framework to model complex systems. Yet, as simple collections of nodes and links, they are intrinsically limited to pairwise interactions, limiting our ability to describe, understand, and predict complex phenomena which arise from higher-order interactions. Here we introduce the new modeling framework of higher-order systems, where hypergraphs and simplicial complexes are used to describe complex patterns of interactions among any number of agents. This book is intended both as a first introduction and an overview of the state of the art of this rapidly emerging field, serving as a reference for network scientists interested in better modeling the interconnected world we live in.
Author | : Michael Brin |
Publisher | : Cambridge University Press |
Total Pages | : 490 |
Release | : 2004-08-16 |
Genre | : Mathematics |
ISBN | : 9780521840736 |
Download Modern Dynamical Systems and Applications Book in PDF, ePub and Kindle
This volume presents a broad collection of current research by leading experts in the theory of dynamical systems.
Author | : Viorel Barbu |
Publisher | : World Scientific |
Total Pages | : 348 |
Release | : 2016-06-17 |
Genre | : Mathematics |
ISBN | : 9813142871 |
Download New Trends In Differential Equations, Control Theory And Optimization - Proceedings Of The 8th Congress Of Romanian Mathematicians Book in PDF, ePub and Kindle
The volume contains a collection of original papers and surveys in various areas of Differential Equations, Control Theory and Optimization written by well-known specialists and is thus useful for PhD students and researchers in applied mathematics.