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Science Forum Index » Nonlinear Science Forum » How does one compute Lyapunov Exponents ??
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| Prashanth |
 Posted: Fri May 12, 2006 6:31 pm |
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Guest
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Hello,
I am currently reading a paper on the application of Chaos
theory and I wanted to know how to compute the Lyapunov exponents. Is
there any method. Do let me know. Will appreciate it.
Prashanth |
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| Marc Lefranc |
| Posted: Fri May 12, 2006 7:12 pm |
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On 12 May 2006 16:31:21 -0700,
"Prashanth" <voiceofprashanth@gmail.com> wrote :
Quote: Hello,
I am currently reading a paper on the application of Chaos
theory and I wanted to know how to compute the Lyapunov exponents. Is
there any method. Do let me know. Will appreciate it.
You cannot possibly have learnt about Lyapunov exponents and not know
a single method for computing them. Otherwise see if you're lucky
using Google and discuss your findings here.
--
Marc |
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| Lou Pecora |
| Posted: Sat May 13, 2006 6:59 am |
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In article <1147505761.262000.94410@v46g2000cwv.googlegroups.com>,
"Prashanth" <voiceofprashanth@gmail.com> wrote:
Quote: Hello Marc,
Thank you for your response. I have no background in
the field. I was reading a paper on the use of chaotic encryption in
cryptography and hence the interest.
Prashanth
A good starting point to understand what it is you are calculating and
the basic approaches (using time series or equations of motion) is the
paper by Eckmann and Ruelle, Review os Modern Physics 1985. Check it
out. There is more done later, but that's a good start.
-- Lou Pecora (my views are my own) REMOVE THIS to email me. |
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| Jürgen Kahrs |
| Posted: Sat May 13, 2006 1:06 pm |
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Prashanth wrote:
Quote: I am currently reading a paper on the application of Chaos
theory and I wanted to know how to compute the Lyapunov exponents. Is
there any method. Do let me know. Will appreciate it.
Several links and pointers to software have been
posted in this newsgroup over the years. Use
Google to find them or look at WikiPedia:
http://en.wikipedia.org/wiki/Lyapunov_exponent |
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