Dynamic response of Mathieu-Duffing oscillator with Caputo derivative

DOI10.1515/IJNSNS-2020-0208OpenAlexW3170601221MaRDI QIDQ6173148

Chuntao Yin, Jianhua Tang

Publication date: 21 July 2023

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2020-0208

zbMATH Keywords

harmonic balance methodCaputo derivativeMathieu-Duffing oscillator

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Fractional derivatives and integrals (26A33)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Primary resonance of Duffing oscillator with fractional-order derivative
• A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives
• Dynamical response of Mathieu-Duffing oscillator with fractional-order delayed feedback
• Chaos in Chen's system with a fractional order
• Residue harmonie balance for discontinuous nonlinear oscillator with fractional power restoring force
• Stability and logarithmic decay of the solution to Hadamard-type fractional differential equation
• Dynamical analysis of a fractional-order Hantavirus infection model
• An analytical method for Mathieu oscillator based on method of variation of parameter
• Chaos synchronization in fractional differential systems
• Dynamical analysis of strongly nonlinear fractional-order Mathieu-Duffing equation
• TRANSITION CURVES AND BIFURCATIONS OF A CLASS OF FRACTIONAL MATHIEU-TYPE EQUATIONS
• Fractional differentiation matrices with applications

This page was built for publication: Dynamic response of Mathieu-Duffing oscillator with Caputo derivative