A new method for homoclinic solutions of ordinary differential equations

DOI10.1016/j.chaos.2007.04.021zbMath1197.65212OpenAlexW2065359865MaRDI QIDQ711981

F. Talay Akyildiz, Shi-Jun Liao, Kuppalapalle Vajravelu

Publication date: 28 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.04.021

Mathematics Subject Classification ID

Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Numerical problems in dynamical systems (65P99)

Related Items (6)

Extended homotopy analysis method for multi-degree-of-freedom non-autonomous nonlinear dynamical systems and its application ⋮ Periodic solutions of multi-degree-of-freedom strongly nonlinear coupled van der Pol oscillators by homotopy analysis method ⋮ A new application of the homotopy analysis method: solving the Sturm-Liouville problems ⋮ Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in porous media prescribed surface heat flux ⋮ Accurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis method ⋮ Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems

Cites Work

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• On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder
• Higher-order Melnikov functions for single-DOF mechanical oscillators: theoretical treatment and applications
• Homoclinic Solutions and Chaos in Ordinary Differential Equations with Singular Perturbations
• Exact Homoclinic and Heteroclinic Solutions of the Gray--Scott Model for Autocatalysis
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