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

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Subjects:

  • 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.
Classifications
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

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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