Determining Zero Lyapunov Exponents in Continuous Time Dynamical Systems
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Published:1997-01-10
Issue:01
Volume:12
Page:131-135
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ISSN:0217-751X
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Container-title:International Journal of Modern Physics A
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language:en
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Short-container-title:Int. J. Mod. Phys. A
Author:
Birol İnanç1,
Hacinliyan Avadis1
Affiliation:
1. Boğaziçi University, Department of Physics and, Turkish Balkan Physics Research Center, PK 2, Bedek, Istanbul, 80815, Turkey
Abstract
Using the tangent bundle conjecture for the Lyapunov exponents, which considers these quantities as a generalization of eigenvalues to nonlinear systems, this work tries to identify zero exponents of a given system, if it exhibits one, via algebraic techniques. The existence of zero Lyapunov exponents for the Toda, Hénon-Heiles and two decoupled simple harmonic oscillator systems are shown.
Publisher
World Scientific Pub Co Pte Lt
Subject
Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics