Series solutions of coupled Van der Pol equation by means of homotopy analysis method

DOI10.1063/1.3445770zbMath1311.70031OpenAlexW2074441636MaRDI QIDQ5251289

Ben T. Nohara, Shi-Jun Liao, Ya-jie Li

Publication date: 19 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/25042ab4373f6915bba6015f145cee772f37b46a

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Forced motions for nonlinear problems in mechanics (70K40) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Technical applications of optics and electromagnetic theory (78A55) Dynamical systems in classical and celestial mechanics (37N05) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (15)

Asymptotic analytical solutions of the two-degree-of-freedom strongly nonlinear van der Pol oscillators with cubic couple terms using extended homotopy analysis method ⋮ Extended homotopy analysis method for multi-degree-of-freedom non-autonomous nonlinear dynamical systems and its application ⋮ Homotopy coiflets wavelet solution of electrohydrodynamic flows in a circular cylindrical conduit ⋮ Novel investigation of fractional-order Cauchy-reaction diffusion equation involving Caputo-Fabrizio operator ⋮ On the fractional view analysis of Keller-Segel equations with sensitivity functions ⋮ Homotopy analysis method for homoclinic orbit of a buckled thin plate system ⋮ A note on the solutions of the Van der Pol and Duffing equations using a linearisation method ⋮ Semi-exact solution for thermo-mechanical analysis of functionally graded elastic-strain hardening rotating disks ⋮ Application of extended homotopy analysis method to the two-degree-of-freedom coupled van der Pol-Duffing oscillator ⋮ Analytical approximate periodic solutions for two-degree-of-freedom coupled van der Pol-Duffing oscillators by extended homotopy analysis method ⋮ On the homotopy multiple-variable method and its applications in the interactions of nonlinear gravity waves ⋮ Do peaked solitary water waves indeed exist? ⋮ An open problem on the optimality of an asymptotic solution to Duffing's nonlinear oscillation problem ⋮ Analytical analysis of fractional-order physical models via a Caputo-Fabrizio operator ⋮ Analytical solutions of nonlinear system of fractional-order van der Pol equations

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