Approximate expressions of a fractional order Van der Pol oscillator by the residue harmonic balance method

DOI10.1016/j.matcom.2013.02.006zbMath1490.34014OpenAlexW1993654500MaRDI QIDQ2227340

Wei Xing Zheng, Min Xiao, Cao, Jinde

Publication date: 15 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2013.02.006

zbMATH Keywords

approximationperiodic oscillationresidue harmonic balancefractional-order Van der Pol oscillator

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Fractional ordinary differential equations (34A08)

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Cites Work

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• Analysis of a fractional order Van der Pol-like oscillator via describing function method
• Stability analysis and limit cycle in fractional system with Brusselator nonlinearities
• Forward residue harmonic balance for autonomous and non-autonomous systems with fractional derivative damping
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A predictor-corrector approach for the numerical solution of fractional differential equations
• More Details on Analysis of Fractional-order Van der Pol Oscillator
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• Analysis of the Van der Pol Oscillator Containing Derivatives of Fractional Order
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers

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