Templates of Two Foliated Attractors — Lorenz and Chen Systems

Martin Rosalie (1)

1 LaBRI - Laboratoire Bordelais de Recherche en Informatique

A chaotic attractor solution of the Lorenz system [Lorenz, 1963] with foliated structure is topologically characterized. Its template permits to both summarize the organization of its periodic orbits and detail the topology of the solution as a branched manifold. A template of an attractor solution of the Chen system [Chen, 1999] with a similar foliated structure is also established.

Mots clés: Chaotic attractor; topological characterization; template

Domaines: Dynamique Chaotique [nlin.CD]

Martin Rosalie. Templates of Two Foliated Attractors — Lorenz and Chen Systems. International journal of bifurcation and chaos in applied sciences and engineering , 2016, 26 (02), pp.1650037. ⟨10.1142/S0218127416500371⟩. ⟨hal-01009552⟩