It is designed as a comprehensive introduction into methods and techniques of modern complex–valued nonlinear dynamics with its various physical and non–physical applications. Printed on acid-free paperĪll Rights Reserved © 2007 Springer No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.Ĭomplex Dynamics: Advanced System Dynamics in Complex Variables is a graduate–level monographic textbook. Catalogue record for this book is available from the Library of Congress. IVANCEVIC The University of Adelaide, SA, AustraliaĪ C.I.P. IVANCEVIC Defence Science and Technology Organisation, Adelaide, SA, AustraliaĪnd TIJANA T. Valavanis, University of South Florida, USAĬomplex Dynamics Advanced System Dynamics in Complex Variables edited by Tabak, George Mason University, Fairfax, Virginia, USA Professor K. Sinha, Mc Master University, Hamilton, Ontario, Canada Professor D. Schmidt, Technical University of Munich, Germany Professor N. Monaco, University La Sapienza, Rome, Italy Professor G. Harashima, University of Tokyo, Tokyo, Japan Professor S. Fukuda, Nagoya University, Japan Professor F. Borne, Ecole Centrale de Lille, France Professor D. Antsaklis, University of Notre Dame, IN, U.S.A. Tzafestas, National Technical University of Athens, GreeceĮditorial Advisory Board Professor P. INTELLIGENT SYSTEMS, CONTROL AND AUTOMATION: SCIENCE AND ENGINEERING VOLUME 34 Editor Professor S. In the last, Chapter 7, all previously developed methods are employed to present the Holy Grail of modern physical and cosmological science, the search for the theory of everything and the true cosmological dynamics. Chapter 6 develops the formalism of complex path integrals, which extends the continuous dynamics to the general high-dimensional dynamics, which can be both discrete and stochastic. Chapter 5 develops high-dimensional complex continuous dynamics, which takes place on complex manifolds. Chapter 4 develops geometrical machinery of complex manifolds, essential for the further text. Chapter 3 presents a modern introduction to quantum dynamics, mainly following Dirac's notation. Chapter 2 develops low-dimensional dynamics in the complex plane, theoretical and computational, continuous- and discrete-time. The introductory Chapter 1 explains in plain English the objective of the book and provides the preliminaries in complex numbers and variables it also gives a soft introduction to quantum dynamics.
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