Dynamical analysis of fractional-order nonlinear oscillator by incremental harmonic balance method

Bifurcation control of bounded noise excited Duffing oscillator by a weakly fractional-order $$\varvec{PI}^{\varvec{\lambda }} \varvec{D}^{\varvec{\mu }}$$ P I λ D μ feedback controller

(2015) Lincong Chen et al.   NONLINEAR DYNAMICS

Global residue harmonic balance method to periodic solutions of a class of strongly nonlinear oscillators

(2014) Peijun Ju et al.   APPLIED MATHEMATICAL MODELLING

An improved piecewise variational iteration method for solving strongly nonlinear oscillators

(2014) M. Heydari et al.   COMPUTATIONAL & APPLIED MATHEMATICS

An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials

(2014) Zaid Odibat et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Subharmonic Resonance of Van Der Pol Oscillator with Fractional-Order Derivative

(2014) Yongjun Shen et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

Primary resonance of fractional-order van der Pol oscillator

(2014) Yong-Jun Shen et al.   NONLINEAR DYNAMICS

Responses of Duffing oscillator with fractional damping and random phase

(2013) Yong Xu et al.   NONLINEAR DYNAMICS

TRANSITION CURVES AND BIFURCATIONS OF A CLASS OF FRACTIONAL MATHIEU-TYPE EQUATIONS

(2012) A. Y. T. LEUNG et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Primary resonance of Duffing oscillator with two kinds of fractional-order derivatives

(2012) Yongjun Shen et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Primary resonance of Duffing oscillator with fractional-order derivative

(2011) Yongjun Shen et al.   Communications in Nonlinear Science and Numerical Simulation

Stochastic jump and bifurcation of Duffing oscillator with fractional derivative damping under combined harmonic and white noise excitations

(2011) Lincong Chen et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

The residue harmonic balance for fractional order van der Pol like oscillators

(2011) A.Y.T. Leung et al.   JOURNAL OF SOUND AND VIBRATION

Fractional calculus of variations for a combined Caputo derivative

(2011) Agnieszka Malinowska et al.   Fractional Calculus and Applied Analysis

Fractional Mathieu equation

(2009) R.H. Rand et al.   Communications in Nonlinear Science and Numerical Simulation