Asymptotic limit cycle of fractional van der Pol oscillator by homotopy analysis method and memory-free principle
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Publication:2289331
DOI10.1016/j.apm.2015.10.005zbMath1452.34071OpenAlexW2189689031MaRDI QIDQ2289331
Publication date: 28 January 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2015.10.005
homotopy analysis methodfractional van der Pol oscillatorasymptotic limit cyclememory-free principle
Theoretical approximation of solutions to functional-differential equations (34K07) Functional-differential equations with fractional derivatives (34K37)
Related Items (10)
An improved optimal homotopy analysis algorithm for nonlinear differential equations ⋮ Challenge on solutions of fractional Van Der Pol oscillator by using the differential transform method ⋮ Limit cycle oscillations in a mechanical system under fractional-order Liénard type nonlinear feedback ⋮ On the optimal selection of the linear operator and the initial approximation in the application of the homotopy analysis method to nonlinear fractional differential equations ⋮ Study on a Multi-Frequency Homotopy Analysis Method for Period-Doubling Solutions of Nonlinear Systems ⋮ Approximate limit cycles of coupled nonlinear oscillators with fractional derivatives ⋮ Rhythm oscillation in fractional-order relaxation oscillator and its application in image enhancement ⋮ Continuously bursting simulations and analytical solutions of the neocortical neurons model ⋮ A linearization-based computational algorithm of homotopy analysis method for nonlinear reaction-diffusion systems ⋮ An optimal homotopy analysis transform method for handling nonlinear PDEs
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