Over the past two decades, vibrational resonance has garnered significant interest and
evolved into a prominent research field. Classical vibrational resonance examines the …

This work is concerned with vibrational resonance (VR) in a fractional order Toda oscillator
model with asymmetric potential. First, by virtue of the method of separation of slow and fast …

We investigate the effect of amplitude-modulated acoustic irradiation on the dynamics of a
charged bubble vibrating in a liquid. We show that the potential V (x) of the bubble, and the …

Abstract Effects of system size, coupling strength, and noise on vibrational resonance (VR)
of globally coupled bistable systems are investigated. The power spectral amplifications …

This study presents numerical simulations of the resonance of a finite-length granular chain
of dissipative grains driven by a harmonically vibrated tube. Multiple gradual resonant …

We study the possibility of occurrence of vibrational resonance in a softening Duffing
oscillator in the underdamped and overdamped cases both theoretically as well as …

The vibration theory has become a hot topic in both mathematics and engineering. This work
is an attempt to reduce the complexity of the Toda model and to exploit the advantages of …

This paper presents a control technique capable of driving a harmonically driven nonlinear
system between two distinct periodic orbits. A vital component of the method is a temporary …

Background Due to its counter-intuitive nature, understanding the dynamics of nonlinear
systems has given rise to many challenges to overcome. This has brought about so many …

Static bifurcation and vibrational resonance in a fractional-order delay Duffing system with
asymmetric potential are studied. By utilizing the fast and slow variable separation …