This review paper is concerned with the applications of Jacobi elliptic functions to nonlinear
oscillators whose restoring force has a monomial or binomial form that involves cubic and/or …

The dynamics of a magnetic pendulum mounted on a shaft with an elastic element is
considered. The impulsive excitation of the pendulum is performed through the interaction of …

In this paper, we mainly study the bifurcation and resonance of under-damped Duffing
systems with fractional order delay and fractional order under-damped Duffing systems with …

In this paper, a new technique is proposed to deal with strongly nonlinear stochastic systems
with fractional derivative damping and random harmonic excitation. Combining the …

Recently, studies on isolation of low-and ultra-low-frequency micro-vibrations have been
gaining attention to protect sensitive components, improve operating comfort, and enhance …

The smart structures with the harmonic nonlinear vibration are used widely to broaden the
frequency range of vibrations energy harvesting. In the paper, the potential of harvesting …

The hyperbolic perturbation method is applied to determining the homoclinic and
heteroclinic solutions of cubic strongly nonlinear autonomous oscillators of the form …

离出行为是随机非线性系统的重要现象之一, 而离出问题是除随机动力系统理论以外考察随机非
线性系统随机稳定性的另一种重要的方法. 分段线性系统是一个经典的非线性动力学模型 …

Harmonically excited oscillators with a purely non-linear non-negative real-power restoring
force are considered in this paper. The solution for motion is assumed in the form of a Jacobi …

This study presents a modified harmonic balance method, which is used to solve the force
and displacement transmissibilities of a vibration isolator with both the quasi-zero-stiffness …