In this paper the approximately analytical solution of van der Pol (VDP) oscillator with two
kinds of fractional-order derivatives is obtained based on averaging method. Two equivalent …

磁流变液阻尼器的分数阶Bingham 模型结构形式简单, 而且可以更好地描述系统的滞回特性.
建立了含有分数阶Bingham 模型的单自由度1/4 车辆悬架系统模型, 利用磁流变液阻尼器对在 …

This paper addresses the occurrence of P-bifurcation in a fractional-delay modified
birhythmic van der Pol (BVDP) oscillator, for enzyme-substrate reactions in brain waves …

The stochastic response of a class of self-excited systems with Caputo-type fractional
derivative driven by Gaussian white noise is considered. Firstly, the generalized harmonic …

Most engineering structures serve in complex and harsh dynamic environments and suffer
from nonlinear vibrations generated by random excitations such as strong winds and waves …

This paper aims to investigate the stochastic bifurcations in the nonlinear vibroimpact system
with fractional derivative under random excitation. Firstly, the original stochastic vibroimpact …

The objective of this research is to propose a promising solution approach introducing
intentionally the strong nonlinearity due to the geometrical configuration into a piezoelectric …

A circular sector is commonly used in a linkage mechanism, and its frequency property plays
an important role in optimization of the linkage mechanism. Fast insight into its vibration …

In this paper the dynamics of Mathieu equation with two kinds of van der Pol (VDP) fractional-
order terms is investigated. The approximately analytical solution is obtained by the …

The integration of fractional calculus into stochastic dynamics has introduced two innovative
concepts, ie, fractional derivative damping (FDD) and fractional Gaussian noise (fGn). To …