Covariant Lyapunov vectors for rigid disk systems

Hadrien Bosetti, Harald Posch (Korresp. Autor*in)

Veröffentlichungen: Beitrag in FachzeitschriftArtikelPeer Reviewed

Abstract

We carry out extensive computer simulations to study the Lyapunov instability of a two-dimensional hard-disk system in a rectangular box with periodic boundary conditions. The system is large enough to allow the formation of Lyapunov modes parallel to the x-axis of the box. The Oseledec splitting into covariant subspaces of the tangent space is considered by computing the full set of covariant perturbation vectors co-moving with the flow in tangent space. These vectors are shown to be transversal, but generally not orthogonal to each other. Only the angle between covariant vectors associated with immediate adjacent Lyapunov exponents in the Lyapunov spectrum may become small, but the probability of this angle to vanish approaches zero. The stable and unstable manifolds are transverse to each other and the system is hyperbolic.
OriginalspracheEnglisch
Seiten (von - bis)296-308
Seitenumfang13
FachzeitschriftChemical Physics
Jahrgang375
Ausgabenummer2-3
DOIs
PublikationsstatusVeröffentlicht - 2010

ÖFOS 2012

  • 103008 Experimentalphysik

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