Driven, autoresonant three-oscillator interactions

Journal Article · Wed Aug 15 04:00:00 EDT 2007 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PHYSREVE.76.026205· OSTI ID:21076232

Yaakobi, O ^[1]; Friedland, L ^[2]; Henis, Z ^[3]

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1. Soreq NRC, Yavne 81800, (Israel)
2. Racah Institute of Physics, Hebrew University, Jerusalem 91904 (Israel)
3. Soreq NRC, Yavne 81800 (Israel)

An efficient control scheme of resonant three-oscillator interactions using an external chirped frequency drive is suggested. The approach is based on formation of a double phase-locked (autoresonant) state in the system, as the driving oscillation passes linear resonance with one of the interacting oscillators. When doubly phase locked, the amplitudes of the oscillators increase with time in proportion to the driving frequency deviation from the linear resonance. The stability of this phase-locked state and the effects of dissipation and of the initial three-oscillator frequency mismatch on the autoresonance are analyzed. The associated autoresonance threshold phenomenon in the driving amplitude is also discussed. In contrast to other nonlinear systems, driven, autoresonant three-oscillator excitations are independent of the sign of the driving frequency chirp rate.

• OSTI ID: 21076232
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 2 Vol. 76; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
CHAOS THEORY
CONTROL THEORY
EXCITATION
NONLINEAR PROBLEMS
OSCILLATIONS
OSCILLATORS
RESONANCE