Passage through resonance and autoresonance in [Formula Presented]-type potentials

E. Nakar, L. Friedland

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Resonant dynamics of a particle in an [Formula Presented]-type potential driven by an oscillation with adiabatically varying frequency is investigated. It is shown that, under certain conditions, when the driving frequency increases in time and passes the resonance with the unperturbed system, the oscillator phase locks to the drive and, later, this phase locking is sustained, i.e., the system remains in autoresonance. The initial phase locking by passage through resonance is the main ingredient of the transition to autoresonance and comprises the generalization of previous results for nearly parabolic potentials.

Original languageEnglish
Pages (from-to)5479-5485
Number of pages7
JournalPhysical Review E
Volume60
Issue number5
DOIs
StatePublished - 1999

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