Affordable Access

Publisher Website

Ghost-vibrational resonance

Authors
Journal
Communications in Nonlinear Science and Numerical Simulation
1007-5704
Publisher
Elsevier
Volume
19
Issue
11
Identifiers
DOI: 10.1016/j.cnsns.2014.04.006
Keywords
  • Ghost Resonance
  • Multi-Frequency Signal
  • Duffing Oscillator
Disciplines
  • Mathematics

Abstract

Abstract Ghost-stochastic resonance is a noise-induced resonance at a fundamental frequency missing in the input signal. We investigate the effect of a high-frequency, instead of a noise, in a single Duffing oscillator driven by a multi-frequency signal F(t)=∑i=1nficos(ωi+Δω0)t,ωi=(k+i-1)ω0, where k is an integer greater than or equal to two. We show the occurrence of a high-frequency induced resonance at the missing fundamental frequency ω0. For the case of the two-frequency input signal, we obtain an analytical expression for the amplitude of the periodic component with the missing frequency. We present the influence of the number of forces n, the parameter k, the frequency ω0 and the frequency shift Δω0 on the response amplitude at the frequency ω0. We also investigate the signal propagation in a network of unidirectionally coupled Duffing oscillators. Finally, we show the enhanced signal propagation in the coupled oscillators in absence of a high-frequency periodic force.

There are no comments yet on this publication. Be the first to share your thoughts.

Statistics

Seen <100 times
0 Comments

More articles like this

Ghost-vibrational resonance

on Communications in Nonlinear Sc...
More articles like this..