Lyapunov Exponents

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Ahmet Ilker Soydan ilkersoydan h
Junior Member
Posts: 14
Joined: Fri Mar 29, 2002 3:39 am

Lyapunov Exponents

Post by Ahmet Ilker Soydan ilkersoydan h » Tue Nov 29, 2005 12:12 pm

Posted by ""Ahmet Ilker Soydan"" <ilkersoydan@hotmail.com>
Dear all,

Lately, i am interested in identifying complex behaviour and I came across with the analysis called (or include) ""Lyapunov Exponents"". I would like to know if anybody has some experience, knowledge, know-how, paper on how to do it, where to begin (to learn), or a study carried out etc.

Thanks in advance...

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Ilker SOYDAN
Politecnico di Milano, Phd Candidate
Management, Economics and Industrial Engineering
Via Giuseppe Colombo 40, 20133, Milano
Posted by ""Ahmet Ilker Soydan"" <ilkersoydan@hotmail.com> posting date Mon, 28 Nov 2005 15:25:23 +0100

Francisco Perez francisco77pp ya
Junior Member
Posts: 14
Joined: Fri Mar 29, 2002 3:39 am

Lyapunov Exponents

Post by Francisco Perez francisco77pp ya » Wed Nov 30, 2005 11:56 am

Posted by Francisco Perez <francisco77pp@yahoo.com>
Hi Ahmet, I would recommend you to read Control Theory and Applied Control (Theory). Almost in any text you will find the Lyapunov Stability Analysis, via Lyapunov Exponents. It is relatively complex and difficult to apply in System Dynamic Models unless the model is sufficiently simple.

hope that helps
regards
francisco
Posted by Francisco Perez <francisco77pp@yahoo.com>
posting date Tue, 29 Nov 2005 09:26:17 -0800 (PST)

Ahmet Kutsi Nircan aknxy yahoo.c
Junior Member
Posts: 14
Joined: Fri Mar 29, 2002 3:39 am

Lyapunov Exponents

Post by Ahmet Kutsi Nircan aknxy yahoo.c » Wed Nov 30, 2005 11:59 am

Posted by Ahmet Kutsi Nircan <aknxy@yahoo.com>
Ahmet,

I used ""Practical Numerical Algorithms for Chaotic Systems"", by Thomas S. Parker and Leon O. Chua (Springer-Verlag) to write a program to calculate Lyapunov exponents. It gives an algorithm and a good definition.

Hope it will help.

Regards,

Ahmet Kutsi Nircan
Posted by Ahmet Kutsi Nircan <aknxy@yahoo.com>
posting date Tue, 29 Nov 2005 04:30:26 -0800 (PST)

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