ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ CHAOS DEMONSTRATIONS ³ ³ PC Version 3.2 ³ ³ ³ ³ ³ ³ JULIEN C. SPROTT ³ ³ ³ ³ Department of Physics ³ ³ University of Wisconsin ³ ³ Madison, WI 53706 ³ ³ ³ ³ GEORGE ROWLANDS ³ ³ ³ ³ Department of Physics ³ ³ University of Warwick ³ ³ Coventry CV47AL, England ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ CHAOS DEMONSTRATIONS is published by the American Institute of Physics as part of a continuing series of software from Physics Academic Software. The software package includes a User's Manual for the PC computer. STARTING THE PROGRAM To start the program, type START and press . Alternatively, you may type CHAOS and press . OVERVIEW CHAOS DEMONSTRATIONS is a collection of twenty-six demonstrations illustrating chaos in physical and biological systems. The goal of the program is to encourage an appreciation of the complexity and beauty of even simple systems, not only for the professional scientist, but also for the interested nonspecialist. The demonstrations can be appreciated on many different levels, from the forefront of research in nonlinear dynamics to pure art. They can be used by an instructor in the classroom, by individual students as a tutorial, or as a display in a museum. You can sit back and watch the demonstrations cycle through an automatic sequence or take control and examine in detail the effect of varying the parameters. All the commands are by single keystrokes or single clicks of a mouse. The program is written to make it easy for you to move from one thing to another. It is accompanied by a graded multiple-choice quiz during which you may review the appropriate demonstration. COMPUTER SYSTEM Your computer system and hardware configuration should be a PC computer with the following features: 1. CGA, MCGA, EGA, or VGA graphics 2. Minimum memory of 384K 3. DOS 3.0 or higher 4. Math coprocessor (recommended) 5. Mouse (optional) 6. Printer (recommended) COPYRIGHT AND COPY POLICY Copyright 1990, 1991, 1995 by the American Institute of Physics All rights reserved Portions copyright 1989 - 1998 by Julien C. Sprott All rights reserved Published in the United States of America ISBN 0-56396-464-3 3 1/2" diskette format Under the copyright laws, neither this software nor the documentation may be copied, in whole or in part, without the written consent of the American Institute of Physics, except in the normal use of the software or to make an archival copy of the software. The label provided must be affixed to the archival copy. Additional copies must be identified by authorized labels. You may not give or sell unauthorized copies to anyone, but your license and all of the material purchased (with all archival copies and authorized copies) may be sold, given, or loaned to another person. ORDERING To order additional copies of the software package or multiple-copy licenses, telephone (800) 955-8275 or (919) 515-7447, send a fax to (919) 515-2682, e-mail to PAS@AIP.ORG, connect to http://www.aip.org/pas/pashome.html, or write to Physics Academic Software Box 8202 North Carolina State University Raleigh, NC 27695-8202 PHYSICS ACADEMIC SOFTWARE Physics Academic Software is a project of the American Institute of Physics in cooperation with the American Physical Society and the American Association of Physics Teachers. The editorial offices are located at North Carolina State University. Editor: John S. Risley Associate Editor: Margaret H. Gjertsen Managing Editor: MaryBeth Branigan Technical Editor: Julien C. Sprott Software Design Reviewers: John Campbell Editorial Assistant: Katherine Kojima Proofreader: Elizabeth Harder Indexer: Barbara J. DeGennaro Cover Design: Hopkins Design Group AIP-APS-AAPT Advisory Committee Robert G. Fuller, University of Nebraska-Lincoln Malvin H. Kalos, Cornell University Dwight Neuenschwander, American Institute of Physics Ramon Lopez, American Physical Society Edwin F. Taylor, Massachusetts Institute of Technology Jack M. Wilson, Rensselaer Polytechnic Institute Physics Academic Software reviews, selects, and publishes high-quality software suitable for use in undergraduate or graduate training in physics. Submitted software is peer-reviewed for excellence in pedagogical or research value. Physics Academic Software invites authors of software for teaching, laboratory, or research activities in physics to submit their software packages to the editor for review. Prospective authors should contact the editor at the address below for advice, stylistic conventions, and submission package requirements. Prof. John S. Risley, Editor Physics Academic Software Department of Physics North Carolina State University Raleigh, NC 27695-8202 ACKNOWLEDGMENTS Computers used in developing the program were provided through a Technology Transfer contract from IBM.