Details

Autor(en) / Beteiligte

• Miranda Filho, L.H.
• Amato, M.A.
• Elskens, Y.
• Rocha Filho, T.M.

Titel

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

Ist Teil von

• Communications in nonlinear science & numerical simulation, 2019-07, Vol.74, p.236-247

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2019

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• •Particle-related description of chaos based on Lyapunov vectors.•Numerical identification of sensitive regions in the kinetic space for the cosHMF.•The most sensitive regions are located near the separatrix.•The weights of the Lyapunov vectors components obey a log-normal distribution. 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.