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Topology And Dynamics Of Chaos: In Celebration Of Robert Gilmore's 70th Birthday

2013-01-11 Mathematics
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Release : 2013-01-11
Genre : Mathematics
Kind : eBook
Book Rating : 876/5 ( reviews)

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Book Synopsis Topology And Dynamics Of Chaos: In Celebration Of Robert Gilmore's 70th Birthday by : Christophe Letellier

Download or read book Topology And Dynamics Of Chaos: In Celebration Of Robert Gilmore's 70th Birthday written by Christophe Letellier. This book was released on 2013-01-11. Available in PDF, EPUB and Kindle. Book excerpt: The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included.The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review on the topological analysis of chaotic dynamics, works done in the past as well as the very latest issues. Most of the contributors who published during the 90's, including the very well-known scientists Otto Rössler, René Lozi and Joan Birman, have made a significant impact on chaos theory, discrete chaos, and knot theory, respectively.Very few books cover the topological approach for investigating nonlinear dynamical systems. The present book will provide not only some historical — not necessarily widely known — contributions (about the different types of chaos introduced by Rössler and not just the “Rössler attractor”; Gumowski and Mira's contributions in electronics; Poincaré's heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology, etc.

Topological Methods for Delay and Ordinary Differential Equations

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Kind : eBook
Book Rating : 376/5 ( reviews)

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Book Synopsis Topological Methods for Delay and Ordinary Differential Equations by : Pablo Amster

Download or read book Topological Methods for Delay and Ordinary Differential Equations written by Pablo Amster. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopedia of Knot Theory

2021-02-10 Mathematics
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Release : 2021-02-10
Genre : Mathematics
Kind : eBook
Book Rating : 42X/5 ( reviews)

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Book Synopsis Encyclopedia of Knot Theory by : Colin Adams

Download or read book Encyclopedia of Knot Theory written by Colin Adams. This book was released on 2021-02-10. Available in PDF, EPUB and Kindle. Book excerpt: "Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable information on a rich and fascinating subject." – Ed Witten, Recipient of the Fields Medal "I spent a pleasant afternoon perusing the Encyclopedia of Knot Theory. It’s a comprehensive compilation of clear introductions to both classical and very modern developments in the field. It will be a terrific resource for the accomplished researcher, and will also be an excellent way to lure students, both graduate and undergraduate, into the field." – Abigail Thompson, Distinguished Professor of Mathematics at University of California, Davis Knot theory has proven to be a fascinating area of mathematical research, dating back about 150 years. Encyclopedia of Knot Theory provides short, interconnected articles on a variety of active areas in knot theory, and includes beautiful pictures, deep mathematical connections, and critical applications. Many of the articles in this book are accessible to undergraduates who are working on research or taking an advanced undergraduate course in knot theory. More advanced articles will be useful to graduate students working on a related thesis topic, to researchers in another area of topology who are interested in current results in knot theory, and to scientists who study the topology and geometry of biopolymers. Features Provides material that is useful and accessible to undergraduates, postgraduates, and full-time researchers Topics discussed provide an excellent catalyst for students to explore meaningful research and gain confidence and commitment to pursuing advanced degrees Edited and contributed by top researchers in the field of knot theory

Chaos In Nature (Second Edition)

2019-04-26 Science
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Release : 2019-04-26
Genre : Science
Kind : eBook
Book Rating : 218/5 ( reviews)

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Book Synopsis Chaos In Nature (Second Edition) by : Letellier Christophe

Download or read book Chaos In Nature (Second Edition) written by Letellier Christophe. This book was released on 2019-04-26. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the history of chaos theory, from celestial mechanics (three-body problem) to electronics and meteorology. Many illustrative examples of chaotic behaviors exist in various contexts found in nature (chemistry, astrophysics, biomedicine). This book includes the most popular systems from chaos theory (Lorenz, Rössler, van der Pol, Duffing, logistic map, Lozi map, Hénon map etc.) and introduces many other systems, some of them very rarely discussed in textbooks as well as in scientific papers. The contents are formulated with an original approach as compared to other books on chaos theory.

Coupled Phase-locked Loops: Stability, Synchronization, Chaos And Communication With Chaos

2018-08-29 Science
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Release : 2018-08-29
Genre : Science
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Book Rating : 965/5 ( reviews)

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Book Synopsis Coupled Phase-locked Loops: Stability, Synchronization, Chaos And Communication With Chaos by : Valery V Matrosov

Download or read book Coupled Phase-locked Loops: Stability, Synchronization, Chaos And Communication With Chaos written by Valery V Matrosov. This book was released on 2018-08-29. Available in PDF, EPUB and Kindle. Book excerpt: Modern technological, biological, and socioeconomic systems are extremely complex. The study of such systems largely relies on the concepts of competition and cooperation (synchronization). The main approaches to the study of nonlinear dynamics of complex systems are now associated with models of collective dynamics of networks and ensembles, formed by interacting dynamical elements.Unfortunately, the applicability of analytical and qualitative methods of nonlinear dynamics to such complex systems is severely restricted due to the high dimension of phase space. Therefore, studying the simplest models of networks, which are ensembles with a small number of elements, becomes of particular interest. Such models allow to make use of the entire spectrum of analytical, qualitative, and numerical methods of nonlinear dynamics. This book is devoted to the investigation of a kind of such systems, namely small ensembles of coupled, phase-controlled oscillators. Both traditional issues, like synchronization, that are relevant for applications in radio-communications, radio-location, energy, etc., and nontraditional issues of excitation of chaotic oscillations and their possible application in advanced communication systems are addressed.

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