4.7 Article

Newton's descent method for the determination of invariant tori

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PHYSICAL REVIEW E
卷 74, 期 4, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.74.046206

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We formulate a fictitious-time-flow equation which drives an initial guess torus to a torus invariant under a given dynamics, provided such a torus exists. 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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