Crisis-induced Vibrational Resonance in a Phase-modulated Periodic Structure

Adesina, P. O. and Vincent, Uchechukwu and Roy-Layinde, T.O. and Kolebaje, O.T. and McClintock, Peter V.E. (2024) Crisis-induced Vibrational Resonance in a Phase-modulated Periodic Structure. Physical Review E. ISSN 1539-3755 (In Press)

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Abstract

Double vibrational resonance is reported for a driven oscillator in a periodic structure of the Josephson junction type with high-frequency phase modulation. We identify two distinct phase modulation effects, namely, resonant induction and resonant amplification, leading to the appearance of a double resonance. We analyse these vibrational resonance phenomenon theoretically and numerically, and we show that the origin of the induced resonance is traceable to a transition from periodicity to quasiperiodicity associated with an attractor-merging crisis.