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Pré-Publication, Document De Travail Année : 2019

Contribution of individual degrees of freedom to Lyapunov vectors in many-body systems

Résumé

We use the weight δI, deduced from the estimation of Lyapunov vectors, in order to characterise regions in the kinetic (x, v) space with particles that most contribute to chaoticity. For the paradigmatic model, the cosine Hamiltonian mean field model, we show that this diagnostic highlights the vicinity of the separatrix, even when the latter hardly exists.
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Dates et versions

hal-02042366 , version 1 (21-02-2019)
hal-02042366 , version 2 (17-04-2019)

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Luciano H Miranda Filho, M A Amato, Y Elskens, T M Rocha Filho. Contribution of individual degrees of freedom to Lyapunov vectors in many-body systems. 2019. ⟨hal-02042366v1⟩
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