In this study, a new evolutionary optimized finite difference based computing paradigm is
presented for dynamical analysis of dust density model for the ensemble of electrical …

In this study, a computational intelligence technique is developed to find the solutions of
nonlinear Mathieu system arising in parameter excitation, vertically derive pendulum and …

An incremental harmonic balance (IHB) method with two time-scales is presented and used
for calculating accurate quasi-periodic responses of a one-degree-of-freedom Van der Pol …

The pulse-shaped explosion (PSE), characterized by the pulse-shaped quantitative of
system solutions varying dramatically, is a special route to bursting oscillations reported …

Some novel exact solutions and approximations to the damped Duffing–Mathieu‐type
oscillator with cubic nonlinearity are obtained. This work is divided into two parts: in the first …

本文针对含有自激励, 参数激励和外激励等三种激励联合作用下van der Pol-Mathieu
方程的周期响应和准周期运动进行分析, 发现其准周期运动的频谱中含有均匀边频带这一新的 …

A simple, but very accurate analytical method for forced Mathieu oscillator is proposed, the
idea of which is based on the method of variation of parameter. Assuming that the time …

The Van der Pol–Mathieu equation, combining self-excitation and parametric excitation, is
analysed near and at 1: 2 resonance, using the averaging method. We analytically prove the …

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 nonlinear dynamics of action potentials in the FitzHugh–Nagumo model is addressed
using a modified Van der Pol equation with fractional-order derivative and periodic …