Localised control for non-resonant Hamiltonian systems
Overview & Synopsis
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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Document Information
| Document Title | Localised control for non-resonant Hamiltonian systems |
|---|---|
| Author / Organization | Michel Vittot, Cristel Chandre, Guido Ciraolo, Ricardo Lima |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2004 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-144223 |
| Original Source Link | Visit Source Page on hal.science » |