Dynamical response of Mathieu–Duffing oscillator with fractional-order delayed feedback-Reference-Cited by-同舟云学术

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Dynamical response of Mathieu–Duffing oscillator with fractional-order delayed feedback

Published:2017-01 Issue: Volume:94 Page:54-62
ISSN:0960-0779
Container-title:Chaos, Solitons & Fractals
language:en
Short-container-title:Chaos, Solitons & Fractals

Author:

Wen Shao-Fang,Shen Yong-Jun^ORCID,Yang Shao-Pu,Wang Jun

Funder

National Natural Science Foundation of China

education department project of Hebei Province

Cultivation plan for Innovation team and leading talent in Colleges and universities of Hebei Province

Program for advanced talent in the universities of Hebei Province

Program for advanced talent in Hebei Province

Publisher

Elsevier BV

Subject

General Mathematics,General Physics and Astronomy,Statistical and Nonlinear Physics,Applied Mathematics

Reference32 articles.

1. Fractional-order nonlinear systems: modeling, analysis and simulation;Petras,2011

2. Fractional order systems: modeling and control applications;Caponetto,2010

3. A new definition of fractional derivative without singular kernel;Caputo;Prog Fract Differ Appl,2015

4. Complex-order van der Pol oscillator;Pinto;Nonlinear Dyn,2011

5. Dynamical analysis of fractional-order nonlinear oscillator by incremental harmonic balance method;Shen;Nonlinear Dyn,2016

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1. Resonance and attraction domain analysis of asymmetric duffing systems with fractional damping in two degrees of freedom;Chaos, Solitons & Fractals;2024-10

2. Mechanical mechanism and parameter optimization of a tuned inerter damper with delayed fractional-order PID;Nonlinear Dynamics;2024-06-14

3. Fractional order time-delayed feedback control of hysteresis dynamics in giant magnetostrictive actuators;Journal of Mechanical Science and Technology;2024-02

4. Fractional-order time-delay feedback control for nonlinear dynamics in giant magnetostrictive actuators;Nonlinear Dynamics;2024-01-17

5. Bifurcation and Chaotic Behavior of Duffing System with Fractional-Order Derivative and Time Delay;Fractal and Fractional;2023-08-21

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