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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1725.0. "Lyapunov exponents..." by RANGER::CACCAVALE () Mon Mar 08 1993 14:15

    I am looking at a problem that concerns rates of convergence and
    divergence of trajectories in a three dimensional phase space
    onto/within attractors in a dissipative dynamical system. I am told
    that Lyapunov characteristic exponents are something I should examine.
    Does anybody have any experience with these ? A good point of departure
    for me would be : how are they calculated ?
    
    Thanks for any help,
    
    Frank
T.RTitleUserPersonal
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1725.1STAR::ABBASIi think iam psychicWed Mar 10 1993 06:1415
    Frank, 
    I run across some Lyaounov theory and things related to this when i took a
    course on linear system theory, the text was "linear system theory and
    design"  by Chen. 
    i cant answer your question, it looks like kind of question that an
    advanced book in system theory or dynamic systems might say something
    on this...?
    if you cant get help on this here, you might want to try posting this in
    sci.dynamic-system , or sci.system-theory or something like that, you
    might get more people working on this area on the net..
    
    good luck..
       \bye
    \nasser
1725.2pointersAUSSIE::GARSONFri Mar 12 1993 21:1013
    re .0
    
    For a very brief (but already incomprehensible to me) introduction have
    a look at the Mathematical Recreations section (by A. K. Dewdney) of
    September, 1991 Sci. Am.
    
    Said article lists further reading:

    "Chaos in Maps with Continuous and Discontinuous Maxima", Mario Markus in
    "Computers in Physics", pp 481-493, September/October 1990.
    
    "The Magic Machine: A Handbook of Computer Secrecy", A. K. Dewdney.
    W.H.Freeman and Co., 1990. [plugging his own book!]