Variational method for locating invariant tori

Abstract : 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.
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Contributor : Cristel Chandre <>
Submitted on : Thursday, August 31, 2006 - 10:43:05 AM
Last modification on : Thursday, March 22, 2018 - 6:24:02 PM

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Yueheng Lan, Cristel Chandre, Predrag Cvitanovic. Variational method for locating invariant tori. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2006, 74 (4), pp.046206. ⟨10.1103/PhysRevE.74.046206⟩. ⟨hal-00090471⟩

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