(* using a Hofstadter type (1,4) chaotic recuring sequence as a pattern*) (* set of solved Markov matrices are used to reconstruct to sequentual domain*) (*...
Thanks for your explanation of Lorentzian space type Lyapunov exponents and how higher dimensional negative exponents work. By (1,3) I take you to mean the...
Dear Dr. Pecora, Actually I was talking about non-Riemanian tensors as topological limits to fractional dimensional manifolds. Negative Lyapunov exponents...
Hilbert's Iniquity: Wouldn't it be a better question to ask if all wars had been ended? In last Month's AMMonthly Dr. Arnol'd says he found a solution for ...
Improved Kaplan-Yorke Dimension J. C. Sprott <http://sprott.physics.wisc.edu/sprott.htm> Department of Physics, University of Wisconsin, Madison, WI 53706, USA...
The increase in dimensional metrical measures might be better thought of as manifolds with matrices of noninteger indices, but we have no way of representing...
The idea here was to get an always SL(3,R) matrix that gaves a low amplitude fractional sequence as a Markov. I started with Pisot like Markov matrices and did...
The actual g(i,j) of a local area in a gravitational field is actually a symmetric matrix , not just the diagonal of a Minkowski n(i,j) strictly Lorentzian. ...
Hi all, For measuring chaotic invarints, I am using TISEAN tool. I am not clear enough to analyze the results on lyap_spec and different switch options...
I tried to think of a way to produce a negative fractal dimensioned set with: -1 <s<0 This is my second try: and ifs in one dimension x'=3/x x'=3/x+2/3 The...
Chaotic Dynamics: An Introduction By G.L. Baker & J.P. Gollub This textbook offers a quantitative introduction to chaos and nonlinear dynamics. Interest in...
Editorial Reviews From Book News, Inc. Intended as a first course in nonlinear dynamics and chaos, the presentation stresses analytical methods, concrete...
Chaos by Arun V. Holden <http://www.amazon.com/exec/obidos/search-handle-url/index=books&field-author=Holden%2C%252520Arun%252520V./103-1353833-6171813> The...
Editorial Reviews Amazon.com Fascinating and authoritative, Chaos and Fractals: New Frontiers of Science is a truly remarkable book that documents recent...
I sent you links and posted links to some books that might be useful. There are more links in messages at chaos theory that would be useful. ... -- ...
Marc Lefranc's home page I am a "Chargé de Recherche" at the Centre national de la Recherche Scientifique (CNRS) <http://www.cnrs.fr> and I work at the...
TISEAN 2.1 (December 2000) Nonlinear Time Series Analysis Rainer Hegger * Holger Kantz * Thomas Schreiber Institut für Physikalische und Theoretische Chemie...
What is R? Introduction to R R is a language and environment for statistical computing and graphics. It is a GNU project <http://www.gnu.org> which is similar...
Major problems with Kaplan -Yorke dimension? 1) It isn't really derivable axiomatically? 2) The argument assumes that the Lyapunov exponents are "constants"...
Hello chemistry folks I just joined this group to share something called sungazing. I practice sungazing myself. You can read more about sungazing at this ...
Dear Dr Chaos, Did you know there is another older "Dr Chaos"? His site has the Italian guy's Mathematica Lyapunov exponent program that was published by...
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