Stochastic response of van der Pol oscillator with two kinds of fractional derivatives under Gaussian white noise excitation

This publication has 23 references indexed in Scilit:

• 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
  Nonlinear Dynamics, 2015
• Super-harmonic resonance of fractional-order van der Pol oscillator
  Acta Physica Sinica, 2014
• Stochastic dynamics and fractional optimal control of quasi integrable Hamiltonian systems with fractional derivative damping
  Fractional Calculus and Applied Analysis, 2013
• Stationary response of Duffing oscillator with hardening stiffness and fractional derivative
  International Journal of Non-Linear Mechanics, 2013
• First-passage failure of single-degree-of-freedom nonlinear oscillators with fractional derivative
  Journal of Vibration and Control, 2012
• Stochastic jump and bifurcation of Duffing oscillator with fractional derivative damping under combined harmonic and white noise excitations
  International Journal of Non-Linear Mechanics, 2011
• Recent history of fractional calculus
  Communications in Nonlinear Science and Numerical Simulation, 2011
• Response and stability of a SDOF strongly nonlinear stochastic system with light damping modeled by a fractional derivative
  Journal of Sound and Vibration, 2009
• Stochastic averaging of strongly nonlinear oscillators with small fractional derivative damping under combined harmonic and white noise excitations
  Nonlinear Dynamics, 2008
• Chaos synchronization of the Chua system with a fractional order
  Physica A: Statistical Mechanics and its Applications, 2006