Bifurcation of a Duffing Oscillator Having Nonlinear Fractional Derivative Feedback

DOI10.1142/S021812741450028XzbMath1296.34099MaRDI QIDQ3191090

Andrew Y. T. Leung, Ping Zhu, Hong-Xiang Yang

Publication date: 23 September 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Duffing oscillatorresonant responsefeedback controlfractional derivative

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Fractional ordinary differential equations (34A08) Bifurcation control of ordinary differential equations (34H20)

Related Items (3)

Bifurcation control of bounded noise excited Duffing oscillator by a weakly fractional-order \(PI^{\lambda} D^{\mu}\) feedback controller ⋮ A fractional-order discrete noninvertible map of cubic type: dynamics, control, and synchronization ⋮ Dynamic Analysis of Fractional-Order Recurrent Neural Network with Caputo Derivative

Uses Software

• Fractional Order Chaotic Systems

Cites Work

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• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional Derivative Consideration on Nonlinear Viscoelastic Statical and Dynamical Behavior under Large Pre-Displacement

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