Path: utzoo!utgpu!news-server.csri.toronto.edu!rutgers!mit-eddie!wuarchive!cec2!news From: delliott@cec1.wustl.edu (Dave Elliott) Newsgroups: comp.theory.dynamic-sys Subject: Re: chaotic dynamical systems (was: (none)) Message-ID: <1991Jan25.183405.19654@cec1.wustl.edu> Date: 25 Jan 91 18:34:05 GMT References: <9101242103.AA10740@lilac.berkeley.edu> <1991Jan25.172420.422@ariel.unm.edu> Distribution: usa Organization: Washington University, St. Louis MO Lines: 62 In article <1991Jan25.172420.422@ariel.unm.edu> scavo@cie.uoregon.edu (Tom Scavo) writes: >In article <9101242103.AA10740@lilac.berkeley.edu> Guan writes: >> >> I am planning to teach an undergraduate level course on chaotic >>dynamical systems for junior or senior level science and engineer majors. >>The goal is to introduce some basic mathematical ideas and phenomena >>in chaotic dynamical systems for someone without a great deal of mathematical >>background. >> >> My plan is to use primarily part I and part II of Bob Devaney's >>book "An Introduction to Chaotic Dynamical Systems" to give a >>reasonable mathematical background. Also let students observe >>the phenomena by running their own experiments on computers using one >>of the several dynamics programs available, e.g. "Dynamics" by Jim Yorke, >>"MacMath" by Hubbard and West, or the one by Parker and Chua. I am >>quite sure that similar courses must have been done somewhere else >>before. I would like to get some general comments and opinion from >>people who taught, or took such a course. I would also like to see if >>I can get answer on the following questions : ...much good stuff omitted... >I'm not aware of such a comprehensive review article (but >see a software review in the special issue of CMJ). In ad- >dition to the programs you mention above, I would also sug- >gest Phaser (Springer-Verlag), Feedback (Peanut Software), >and Fractint (public domain). But all of these are PC pro- >grams; unfortunately, there just isn't much software available >for the Mac. ... [more omitted] There is a free program called Orbits, written by Stephen Eubank, Buff Miner, Jim Wiley, Toshi Tajima Institute for Fusion Studies Physics Department University of Texas Austin, Tx. 78712 and obtainable from Dr. Eubank, which works on most Macs; it permits the simultaneous plot of trajectories from several initial conditions and has in its distribution files examples of well-known dynamical systems and iterated maps.. pendulum, Duffing, Rayleigh, ... Henon, standard, Ushiki,... It probably is available somewhere by ftp, since it is redistributable [intact]. Another good program (I do not know how it is distributed) for Macintosh has been made available to Universities: DEGraph differential equation solver and grapher, by Henry C. Pinkham, Mathematics Department Columbia University New York, NY 10027. > >Tom Scavo >scavo@cie.uoregon.edu David L. Elliott Dept. of Systems Science and Mathematics Washington University, St. Louis, MO 63130 delliott@CEC1.WUSTL.EDU David L. Elliott Dept. of Systems Science and Mathematics Washington University, St. Louis, MO 63130 delliott@CEC2.WUSTL.EDU