Characterization of the local instability in the Hénon–Heiles Hamiltonian

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2003 Spain English Publisher:Elsevier BVJournal:Physics Letters A, volume 311, pages 26-38 (issn: 0375-9601,

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Authors: Vallejo, Juan C; Aguirre, Jacobo; Sanjuán, Miguel A.F.;

doi: 10.1016/s0375-9601(03)00452-3

handle: 10115/29653 , 10261/342353

Characterization of the local instability in the Hénon–Heiles Hamiltonian

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Abstract

Several prototypical distributions of finite-time Lyapunov exponents have been computed for the two-dimensional Hénon– Heiles Hamiltonian system. Different shapes are obtained for each dynamical state. Even when an evolution is observed in the morphology of the distributions for the smallest integration intervals, they can still serve for characterizing the dynamical state of the system.

Country

Spain

Related Organizations

Spanish National Research Council
Spain
King Juan Carlos University
Spain

Keywords

Stability problems for finite-dimensional Hamiltonian and Lagrangian systems, NonLinear Dynamics, dynamical state characterization, Chaos, Chaos, NonLinear Dynamics, finite-time Lyapunov exponents

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