Study on the Business Cycle Model with Fractional-Order Time Delay under Random Excitation

Analysis of Duffing oscillator with time-delayed fractional-order PID controller

(2017) Jiangchuan Niu et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Dynamics of a delayed business cycle model with general investment function

(2016) Driss Riad et al.   CHAOS SOLITONS & FRACTALS

On a business cycle model with fractional derivative under narrow-band random excitation

(2016) Zifei Lin et al.   CHAOS SOLITONS & FRACTALS

Multi-objective active control policy design for commensurate and incommensurate fractional order chaotic financial systems

(2015) Indranil Pan et al.   APPLIED MATHEMATICAL MODELLING

Stability and Hopf bifurcation for a business cycle model with expectation and delay

(2015) Xiangdong Liu et al.   Communications in Nonlinear Science and Numerical Simulation

A method to stochastic dynamical systems with strong nonlinearity and fractional damping

(2015) Yong Xu et al.   NONLINEAR DYNAMICS

Principal resonance responses of SDOF systems with small fractional derivative damping under narrow-band random parametric excitation

(2014) Di Liu et al.   Communications in Nonlinear Science and Numerical Simulation

Sustaining stable dynamics of a fractional-order chaotic financial system by parameter switching

(2013) Marius-F. Danca et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Stationary response of Duffing oscillator with hardening stiffness and fractional derivative

(2012) Lincong Chen et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

First-passage failure of single-degree-of-freedom nonlinear oscillators with fractional derivative

(2012) Lincong Chen et al.   JOURNAL OF VIBRATION AND CONTROL

Stochastic fractional optimal control of quasi-integrable Hamiltonian system with fractional derivative damping

(2012) F. Hu et al.   NONLINEAR DYNAMICS

Stochastic dynamics and fractional optimal control of quasi integrable Hamiltonian systems with fractional derivative damping

(2012) Lincong Chen et al.   Fractional Calculus and Applied Analysis

Primary resonance of Duffing oscillator with fractional-order derivative

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

Design of sliding mode controller for a class of fractional-order chaotic systems

(2011) Chun Yin et al.   Communications in Nonlinear Science and Numerical Simulation

Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay

(2011) Zhen Wang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

Chaos prediction and control of Goodwin’s nonlinear accelerator model

(2010) Shuang Li et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

First-passage failure of a business cycle model under time-delayed feedback control and wide-band random excitation

(2010) Jiaorui Li et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

First passage failure of SDOF nonlinear oscillator with lightly fractional derivative damping under real noise excitations

(2010) Lincong Chen et al.   PROBABILISTIC ENGINEERING MECHANICS

Stability and Hopf bifurcations in a business cycle model with delay

(2009) Junhai Ma et al.   APPLIED MATHEMATICS AND COMPUTATION

Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results

(2009) Yuriy A. Rossikhin et al.   Applied Mechanics Reviews

Multi-parameter bifurcations of the Kaldor–Kalecki model of business cycles with delay

(2009) Xiaoqin P. Wu et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Stochastic stability of Duffing oscillator with fractional derivative damping under combined harmonic and white noise parametric excitations

(2008) L. C. Chen et al.   ACTA MECHANICA

Response and stability of a SDOF strongly nonlinear stochastic system with light damping modeled by a fractional derivative

(2008) Z.L. Huang et al.   JOURNAL OF SOUND AND VIBRATION

Response of nonlinear random business cycle model with time delay state feedback

(2008) Jiaorui Li et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Nonlinear dynamics and chaos in a fractional-order financial system

(2006) Wei-Ching Chen   CHAOS SOLITONS & FRACTALS