Re: Local Lyapunov Exponents

From: Lou Pecora (pecora_at_anvil.nrl.navy.mil)
Date: 09/13/04


Date: Mon, 13 Sep 2004 11:37:17 -0400

In article <9baf5e12.0409110236.633da19f@posting.google.com>,
 luca@univ-brest.fr (Luca Mihai) wrote:

> I'm interested in calculating the local Lyapunov exponents for example
> for the zero mean logistic map.
> If I use the definitions provided by Abarbanel and some methods on
> numerical integration I obtain an equality between all the local
> Lyapunov exponents, with the global one.
> Moreover for the first Local Lyapunov exponents (L=1), it can be
> proven that it's value is ln(2).
> Please any advice, or new method will be helpfull.
> Thank you

How many time steps are you using for the local exponents? Can you
provide the form of the logistic map and parameter values?

-- Lou Pecora (my views are my own)



Relevant Pages

  • Re: Local Lyapunov Exponents
    ... The regular center 1/2 logistic map is: ... the Lyapunov is always singular. ... PRINT" zero centered Logistic bifucation" ... > I'm interested in calculating the local Lyapunov exponents for example ...
    (sci.fractals)
  • Re: Local Lyapunov Exponents
    ... The regular center 1/2 logistic map is: ... the Lyapunov is always singular. ... PRINT" zero centered Logistic bifucation" ... > I'm interested in calculating the local Lyapunov exponents for example ...
    (sci.nonlinear)
  • Local Lyapunov Exponents
    ... I'm interested in calculating the local Lyapunov exponents for example ... for the zero mean logistic map. ... If I use the definitions provided by Abarbanel and some methods on ... Lyapunov exponents, with the global one. ...
    (sci.nonlinear)
  • Re: Local Lyapunov Exponents
    ... >> I'm interested in calculating the local Lyapunov exponents for example ... > provide the form of the logistic map and parameter values? ... Sorry I should have them specified the first time. ...
    (sci.nonlinear)