Existence of transversal homoclinic orbits in higher dimensional discrete dynamical systems

DOI10.3934/DCDSB.2010.14.1181zbMath1213.37034OpenAlexW2022487929MaRDI QIDQ612899

Chen-Chang Peng, Kuan-Ju Chen

Publication date: 16 December 2010

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2010.14.1181

zbMATH Keywords

shadowingArneodo-Coullet-Tresser mapTransversal homoclinic orbit

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

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