Lorenz attractors and the modular surface* - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Nonlinearity Année : 2021

Lorenz attractors and the modular surface*

Résumé

We define an extension of the geometric Lorenz model, defined on the three sphere. This geometric model has an invariant one dimensional trefoil knot, a union of invariant manifolds of the singularities. It is similar to the invariant trefoil knot arising in the classical Lorenz flow near the classical parameters. We prove that this geometric model is topologically equivalent to the geodesic flow on the modular surface, once compactifying the latter.

Dates et versions

hal-03404498 , version 1 (26-10-2021)

Identifiants

Citer

C. Bonatti, Tali Pinsky. Lorenz attractors and the modular surface*. Nonlinearity, 2021, 34 (6), pp.4315-4331. ⟨10.1088/1361-6544/abf8fa⟩. ⟨hal-03404498⟩
26 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More