Variational method for locating invariant tori

Yueheng Lan (1) , Cristel Chandre (2, 3) , Predrag Cvitanovic (1)

1 CNS-GATECH - Center for Nonlinear Science
2 CPT - Centre de Physique Théorique - UMR 7332
3 CPT - Ex E8 Dynamique non linéaire

We formulate a variational fictitious-time flow which drives an initial guess torus to a torus invariant under given dynamics. The method is general and applies in principle to continuous time flows and discrete time maps in arbitrary dimension, and to both Hamiltonian and dissipative systems.

Domaines: Dynamique Chaotique [nlin.CD]

Yueheng Lan, Cristel Chandre, Predrag Cvitanovic. Variational method for locating invariant tori. 2006. ⟨hal-00090471⟩