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Science Forum Index  »  Nonlinear Science Forum  »  Intro to Lyapunov Exponent?
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Guest
Posted: Thu Jan 17, 2008 10:41 am
Would anyone be able to recommend an introductory book or website that
gives a relatively elementary introduction to Lyapunov Exponent? Any
response will be certainly appreciated.
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Guest
Posted: Thu Jan 17, 2008 12:34 pm
On Jan 17, 12:48 pm, Lou Pecora <pec...@anvil.nrl.navy.mil> wrote:
Quote:
In article
59f11b4a-05db-4c77-8b5a-930178481...@v46g2000hsv.googlegroups.com>,

 beginner1....@hotmail.com wrote:
Would anyone be able to recommend an introductory book or website that
gives a relatively elementary introduction to Lyapunov Exponent?  Any
response will be certainly appreciated.

I recommend Steve Strogatz' book:  Nonlinear Dynamics and Chaos, Addison
Wesley Publ.

Also, Ed Ott's book:  Chaos in Dynamical Systems, Cambridge Publ.

For a nice mathematical, but understandable, introduction to Lyapunov
Exponents see the paper by Eckmann and Ruelle:

"Ergodic Theory of Chaos and Strange Attractors," J.-P. Eckmann and D.
Ruelle, Reviews of Modern Physics 57, 617 (1985).  -- Just read the
sections on Characteristic Exponents and any that seem to be
prerequisites.  It's still a very good paper despite its age.

Sorry, I don't know of any web sites other than the Wikipedia.  I don't
know if the Wiki article is a good one.  Never checked it out.

I hope that helps.

--
-- Lou Pecora

Thank you! I do not have a very strong mathmatical background, so I
appreciate the references!
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Lou Pecora
Posted: Thu Jan 17, 2008 4:48 pm
Guest
In article
<59f11b4a-05db-4c77-8b5a-9301784811b3@v46g2000hsv.googlegroups.com>,
beginner1.mat@hotmail.com wrote:

Quote:
Would anyone be able to recommend an introductory book or website that
gives a relatively elementary introduction to Lyapunov Exponent? Any
response will be certainly appreciated.

I recommend Steve Strogatz' book: Nonlinear Dynamics and Chaos, Addison
Wesley Publ.

Also, Ed Ott's book: Chaos in Dynamical Systems, Cambridge Publ.

For a nice mathematical, but understandable, introduction to Lyapunov
Exponents see the paper by Eckmann and Ruelle:

"Ergodic Theory of Chaos and Strange Attractors," J.-P. Eckmann and D.
Ruelle, Reviews of Modern Physics 57, 617 (1985). -- Just read the
sections on Characteristic Exponents and any that seem to be
prerequisites. It's still a very good paper despite its age.

Sorry, I don't know of any web sites other than the Wikipedia. I don't
know if the Wiki article is a good one. Never checked it out.

I hope that helps.

--
-- Lou Pecora
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