Constructing explicit homoclinic solution of oscillators: an improvement for perturbation procedure based on nonlinear time transformation

DOI10.1016/j.cnsns.2016.12.010OpenAlexW2560204461MaRDI QIDQ2005433

Yanyan Li

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.12.010

zbMATH Keywords

perturbation methodexplicit solutionhomoclinic solutionnonlinear time transformation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Ordinary differential equations (34-XX)

Related Items (6)

Families of bounded solutions near perturbed homoclinics of R.D.E.s with symmetric eigenvalues, application to retarded power-law oscillations ⋮ Computation of all the coefficients for the global connections in the \(\mathbb{Z}_2\)-symmetric Takens-Bogdanov normal forms ⋮ Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case \(\mathbf{C}_{\mathbf{in}}\) ⋮ Unnamed Item ⋮ Existence of Chaos in the Chen System with Linear Time-Delay Feedback ⋮ Homoclinic-doubling and homoclinic-gluing bifurcations in the Takens-Bogdanov normal form with D4 symmetry

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