Resonance and bifurcation are prominent and significant features observed in various
nonlinear systems, often leading to catastrophic failure in practical engineering. This paper …

In this paper, the main subharmonic resonance of the Mathieu–Duffing system with a quintic
oscillator under simple harmonic excitation, the route to chaos, and the bifurcation of the …

The general investigation on the vibration mechanism at arbitrary fraction-order harmonic
resonance of the fractional Mathieu-Duffing system driven by multiple periodic excitations …

The main sub-harmonic joint resonance of the van der Pol-Duffing system with a quintic
oscillator under dual-frequency excitation is investigated in this paper. The study examines …

Vibrational resonance is studied in a fractional order quintic oscillator system with delayed
feedback. By utilizing the perturbation theory, the theoretical approximate expression of the …

This study aims to investigate the harmonic resonance of third-order forced van der Pol
oscillator with fractional-order derivative using the asymptotic method. The approximately …

The dynamic characteristics and stability of a fractional-order van der Pol oscillator under
simultaneously primary and super-harmonic resonance are analyzed by the multiscale …

A semi-analytic approach is proposed to analyze steady state responses of dynamic
systems containing fractional derivatives. A major purpose is to efficiently combine the …

In this study, the resonance, bifurcation and stability of a class of fractional quintic systems
are discussed. The implicit function expressions of the amplitude–frequency relationship of …

In the present paper, the phenomenon of the vibrational resonance in a quantic oscillator
that possesses a fractional order damping and is driven by both the low and the high …