Crisis-induced vibrational resonance in a phase-modulated periodic structure.

Adesina, P O; Vincent, U E; Roy-Layinde, T O; Kolebaje, O T; McClintock, P V E · Phys Rev E · 2024

basic_science · Level V

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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 analyze these vibrational resonance phenomena 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.