2.3.2 An Electronic Oscillator (the Van der Pol Equation). 2.2.5 Rapoport's Model for the Arms Race. 2.2.3 Selection and Evolution of Biological Molecules. 2.2.2 Population Dynamics of Fox Rabies in Europe. 2.2.1 Volterra-Lotka Competition Equations. 1.2.3 Use of Mathematica in Studying Nonlinear Physics. 1.2.1 Examples of Mathematica Operations. Typeset by the authors Cover design by Jeff Cosloy, Newton, MA Printed and bound by Hamilton Printing, Rensselaer, NY Printed in the United States of America.ġ.1 It's a Nonlinear World. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and ~erchandiseMarks Act, may accordingly be used freely by anyone. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. This work may not be translated or copied in whole or in part without the written permission of the publisher (Birkhauser Boston, d o Springer-Verlag New York, Inc., 175 Fifth Avenue, New York, NY 10010, USA), except for brief excerpts in connection with reviews or scholarly analysis. Printed on acid-free paper 02001 Birkhauser BostonĪll rights resewed. Includes bibliographical references and index. Nonlinear physics with Mathematica for scientists and engineers I Richard H.Enns and George C. Library of Congress Cataloging-in-Publication DataĮnns. McGuire Department of Physics University College of the Fraser Valley Abbotsford, BC V2S 7M9 Canada Enns Department of Physics Simon Fraser University Bumaby, BC V5A 1S6 Canada The M 'Guir e Family Lynda Colleen Sheelo Michael Serag Kevin Ruth The Enns Family Karen Russell Jennifer Heather Nicole Robert Justine Gabrielle We *wishto thank the members of our families for their continuing support, suggestions, tolerance, and their humoring of our fiuctuating moods as this multi-faceted text, which combines theoretical concepts, computer usage, and experimental verification, evolved from an idea to reality. Nonlinear Physics with Mathernatica for Scientists and Engineers Nonlinear Physics with Mothematko for Scientists and Engineers.
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