From the pendulum to rydberg accelerator and planetary dynamics: Autoresonant formation and control of nonlinear states

Lazar Friedland

doi:10.1109/PHYCON.2005.1513941

From the pendulum to rydberg accelerator and planetary dynamics: Autoresonant formation and control of nonlinear states

Lazar Friedland^*

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to conference › Paper › peer-review

3 Scopus citations

Abstract

How to excite and control a particular state in a Hamiltonian system without a feedback and using a perturbation? A solution to this problem by passage through resonances and adiabatic synchronization is discussed. The idea is based on capturing the system into persistent (auto-) resonance with chirped frequency driving perturbations such that the driving amplitude exceeds a threshold. Among other applications, this approach allows efficient control of a classical state of Rydberg atoms in 3D, yielding gradual acceleration of the electron in the atom, until approaching the stochastic ionization limit. A similar phenomenon explains the Plutino puzzle in the early evolution of the solar system.

Original language	English
Pages	8-14
Number of pages	7
DOIs	https://doi.org/10.1109/PHYCON.2005.1513941
State	Published - 2005
Event	2005 International Conference on Physics and Control, PhysCon 2005 - St. Petersburg, Russian Federation Duration: 24 Aug 2005 → 26 Aug 2005

Conference

Conference	2005 International Conference on Physics and Control, PhysCon 2005
Country/Territory	Russian Federation
City	St. Petersburg
Period	24/08/05 → 26/08/05

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10.1109/PHYCON.2005.1513941

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From the pendulum to rydberg accelerator and planetary dynamics: Autoresonant formation and control of nonlinear states

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