Nonlinear dynamics and chaos in astrophysics a festschrift in honor of George Contopoulos

Cover of: Nonlinear dynamics and chaos in astrophysics |

Published by New York Academy of Sciences in New York .

Written in English

Read online


  • Contopoulos, George, 1928-,
  • Chaotic behavior in systems -- Congresses,
  • Astrophysics -- Congresses,
  • Dynamics -- Congresses,
  • Nonlinear theories -- Congresses

Edition Notes

Includes bibliographical references and index.

Book details

Statementedited by J.R. Buchler, S.T. Gottesman, and H.E. Kandrup.
SeriesAnnals of the New York Academy of Sciences,, v. 867
ContributionsContopoulos, George, 1928-, Buchler, J. R., Gottesman, S. T., Kandrup, Henry E.
LC ClassificationsQ11 .N5 vol. 867, QB466.C45 .N5 vol. 867
The Physical Object
Paginationviii, 337 p. :
Number of Pages337
ID Numbers
Open LibraryOL388510M
ISBN 101573311626, 1573311634
LC Control Number98051749

Download Nonlinear dynamics and chaos in astrophysics

Series: Advances in Nonlinear Dynamics and Chaos (ANDC) There has been a renewed interest in the study of nonlinear dynamical systems during the last two decades. This has been partly because of "Chaotic Behavior" which is associated with the study of Dynamical Systems.

The discipline of nonlinear dynamics, or chaos, has developed explosively in all areas of physics over the last two decades. This comprehensive primer for researchers and graduate students of astrophysics provides the necessary investigative tools Cited by: Nonlinear Dynamics and Chaos by Strogatz is an introduction to the qualitative study of systems of first degree differential equations.

Topics included through the first six chapters (which is as far as I have currently read) are bifurcations, stability of fixed points, linearization about fixed points, and many others/5.

Nonlinear Dynamics and Chaos in Astrophysics: A Festschrift in Honor of George Contopoulos (Annals of the New York Academy of Sciences) by Georgios Ioannou Kontopoulos (Editor), J. Buchler (Editor), S. Gottesman (Editor), & ISBN ISBN Format: Hardcover.

Chaos theory is a branch of mathematics focusing on the study of chaos—states of dynamical systems whose apparently-random states of disorder and irregularities are often governed by deterministic laws that are highly sensitive to initial conditions.

Chaos theory is an interdisciplinary theory stating that, within the apparent randomness of chaotic complex systems, there are.

Nonlinear Dynamics and Chaos Oteven Strogatz's written introduction to the modern theory of dynamical systems and dif- ferential equations, with many novel applications." —Robert L Devaney, Boston University and author of A First Course in Chaotic Dynamical Systems This textbook is aimed at newcomers to nonlinear dynamics and chaos,File Size: 5MB.

ISBN: OCLC Number: Description: viii, pages: illustrations ; 24 cm. Contents: Preface --Laudation --From quasars to extraordinary N-body problems --Dynamical spectra and the onset of chaos --Orbital complexity, short-time lyapunov exponents, and phase space transport in time-independent. Strogatz's approach to Nonlinear Dynamics is suitable for anyone equipped with a good basic understanding of ordinary differential equations.

He allows the reader to gradually build-up their understanding through a series of illustrations and examples - this is the sort of book that will be indispensable the night before a final year undergraduate Chaos and /5(67). Nonlinear Physics: Integrability, Chaos and Beyond M.

Lakshmanan Centre for Nonlinear Dynamics Department of Physics Bharathidasan University Tiruchirapalli India February 6, Abstract Integrability and chaos are two of the main concepts associated with nonlinear physical systems which have revolutionized our understanding of them.

This first part of this book provides a primer on nonlinear dynamics and gives the researcher and graduate astrophysics student the investigative mathematical tools needed to. Buy Nonlinear Dynamics and Chaos (Studies in Nonlinearity) 2 by Strogatz, Steven H.

(ISBN: ) from Amazon's Book /5(76). This chapter presents an overview of nonlinear dynamics and chaos. It starts with a background revision of dynamical systems.

Concepts of equilibrium points, linearization, stability, and Author: Marcelo Savi. nonlinear dynamics 1 & 2: geometry of chaos. An advanced introduction to nonlinear dynamics, with emphasis on methods used to analyze chaotic dynamical systems encountered in science and engineering.

The purpose of this volume is to provide a brief review of the previous work on model reduction and identifi cation of distributed parameter systems (DPS), and develop new spatio-temporal models and their relevant identifi cation this book, a systematic overview and classifi cation on the modeling of DPS is present.

The Journal of Applied Nonlinear Dynamics is a journal aiming at increasing the basic and applied knowledge in the interdisciplinary field of nonlinear sciences, including nonlinear dynamics, chaos and complex systems, and focusing on physics, applied mathematics, engineering and other applied disciplines.

The department offers a second semester of classical mechanics devoted to nonlinear dynamics. Image gallery Our inter-disciplinary research in nonlinear dynamics allows students to choose an experimental or theoretical project. Students can choose a theoretical project and apply the methods of chaos to field theory or to the many body problem.

In the 20 years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting new fields as systems biology, evolutionary game theory, and sociophysics.

This second edition includes new exercises on these cutting-edge developments, on topics as varied as the. This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors.

The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations. This course of 25 lectures, filmed at Cornell University in Springis intended for newcomers to nonlinear dynamics and chaos. It closely follows Prof.

Strogatz's book, "Nonlinear Dynamics. The most important book, which we recommend that you purchase, is: Strogatz, S. Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering. Westview Press, ISBN: Strogatz will be especially valuable for our discussion of stability of ordinary differential equations.

I recently came across Nonlinear Dynamics and Chaos by Strogatz and I'm recommending it to all my Physics/Applied Math friends. This is a great introductory book on the subject and you don't need any more Math than is taught in a basic Diff.

course. The discipline of nonlinear dynamics has developed explosively in all areas of physics. This comprehensive primer summarizes the main developments in the mathematical theory of dynamical systems, chaos, pattern formation and by:   Part I.

Dynamic Systems Bifurcation Theory and Chaos: 1. Chaos in random dynamical systems V. Gunldach; 2. Controlling chaos using embedded unstable periodic orbits: the problem of optimal periodic orbits B.

Hunt and E. Ott; 3. Chaotic tracer dynamics in open hydrodynamical flows G. Karolyi, A. Pentek, T. Tel and Z. Toroczkai; 4. Homoclinic Cited by: 3. 1. Semiconductors as continuous nonlinear dynamic systems; 2. Concepts of nonlinear charge transport in semiconductors; 3. Pattern formation and oscillatory instabilities in semiconductors; 4.

Impact ionization induced impurity breakdown; 5. Nonlinear carrier dynamics in crossed electric and magnetic fields; 6. Stationary and oscillating domains in superlattices; Cited by: Nonlinear dynamics and chaos involves the study of apparent random happenings within a system or process.

The subject has wide applications within mathematics, engineering, physics and other physical sciences. Since the bestselling first edition was published, there has been a lot of new research conducted in the area of nonlinear dynamics and chaos. * Expands on the. Nonlinear dynamics and chaos in astrophysics: a festschrift in honor of George Contopoulos.

Add tags for "Nonlinear dynamics and chaos in astrophysics: a festschrift in honor of George Contopoulos". Be the first. Similar Items. Related Subjects: (25) Contopoulos, George, -- Chaotic behavior in systems -- Congresses. Astrophysics. Nonlinear dynamics and chaos involves the study of apparent random happenings within a system or process.

The subject has wide applications within mathematics, engineering, physics and other physical sciences. Since the bestselling first edition was published, there has been a lot of new research conducted in the area of nonlinear dynamics and chaos.

"Nonlinear Dynamics and Chaos is an excellent book that effectively demonstrates the power and beauty of the theory of dynamical systems. Its readers will want to learn more." Mathematical Association of America show more/5(K).

The syllabus contains an overview and list of materials for the course, grading criteria participation guidelines and a guide to the instructor?s evaluation of case write-ups.

Mathematics» Nonlinear Dynamics and Chaos» Syllabus "The" Book. Guckenheimer, J., and P. Holmes. In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input.

Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature. Nonlinear dynamical systems, describing changes in variables.

Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments.

The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, engineering and applied sciences. Books shelved as chaos-theory: Chaos: Making a New Science by James Gleick, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistr.

2 1. Introduction The history of nonlinear dynamics and chaos begins with the brilliant original contribution of Henri Poincare'1 and specifically the derivation of the Poincare' map, and later with the advent of digital computers, of the findings of Ueda2 and Feigenbaum3 of the explosive and period-doubling routes to chaos, by: 1.

The book is the first to provide a general overview of order and chaos in dynamical astronomy. The progress of the theory of chaos has a profound impact on galactic dynamics. It has even invaded celestial mechanics, since chaos was found in the solar system which in the past was considered as a prototype of : Springer-Verlag Berlin Heidelberg.

Find many great new & used options and get the best deals for Annals of the New York Academy of Sciences: Nonlinear Dynamics and Chaos in Astrophysics: A Festschrift in Honor of George Contopoulos by Georgios I.

Kontopoulos (, Hardcover) at the best online prices at eBay. Free shipping for many products. Brain Dynamics The theories of chaos and nonlinear dynamics are applied to many fields such as sociology, economics, and biology. The one of the most active field is the brain science.

Here we present some simulators which introduce some researches to understand our complex brain. Not all nonlinear systems are chaotic.

However a chaotic system is necessarily nonlinear. There doesn't exists a definition for chaos but using the one given by Strogatz, ref 1: Chaos is aperiodic long-termed behavior in a deterministic system that exhibits sensitive dependence on initial conditions.

Like explained in the text. Historical and logical overview of nonlinear dynamics. The structure of the course: work our way up from one to two to three-dimensional systems. Simple examples of linear vs.

nonlinear systems. Nonlinear Dynamics, Chaos and Complex Systems The idea that many simple nonlinear deterministic systems can behave in an apparently unpredictable and chaotic manner was first noticed by the great French mathematician Henri Poincaré. Other early pioneering work in the field of chaotic dynamics were found in the mathematical literature by.

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition.

The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit 5/5(1). In Chap. 2 we have discussed the motion of point masses under the influence of forces.

The equations of motion are linear differential equations. If the complete initial conditions are given, (e. g. location and velocity at time t = 0) the solution of the differential equation determines exactly the future fate of the point mass (its location and velocity at future times t > Author: Wolfgang Demtröder.Chaos And Complexity Book Summary: The nature of this book is to emphasize the inherent complexity and richness of the human experience of change.

Now, the author believes there to be an acceptable "scientific" explanation for this phenomona. Explored here are 30 years of studies to describe nonlinear dynamics, today termed either chaos theory or complexity theory.Nonlinear Dynamics and Chaos by Steven H.

Strogatz and a great selection of related books, art and collectibles available now at

54059 views Sunday, November 8, 2020