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Article Dans Une Revue Nonlinearity Année : 2004

Localised control for non-resonant Hamiltonian systems

Michel Vittot
Cristel Chandre
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Résumé

We present a method of localised control of chaos in Hamiltonian systems. The aim is to modify the perturbation locally by a small control term which makes the controlled Hamiltonian more regular. We provide an explicit expression for the control term which is able to recreate invariant (KAM) tori without modifying other parts of phase space. We apply this method of localised control to a forced pendulum model, to the delta-kicked rotor (standard map) and to a non-twist Hamiltonian.
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Dates et versions

hal-00001608 , version 1 (24-05-2004)

Identifiants

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Michel Vittot, Cristel Chandre, Guido Ciraolo, Ricardo Lima. Localised control for non-resonant Hamiltonian systems. Nonlinearity, 2004, 18, pp.423. ⟨10.1088/0951-7715/18/1/021⟩. ⟨hal-00001608⟩
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