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

Abstract

We use the weight $\delta$I, 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.

References in corpus (2)

• Covariant Lyapunov vectors for rigid disk systems
• Lyapunov Exponent and Criticality in the Hamiltonian Mean Field Model