Variational method for locating invariant tori
Yueheng Lan, Cristel Chandre, Predrag Cvitanovic
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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