Discretizations of dynamical systems with a saddle-node homoclinic orbit

DOI10.3934/DCDS.1996.2.351zbMath0949.34036OpenAlexW2061154922MaRDI QIDQ1576695

Wolf-Jürgen Beyn, Yongkui Zou

Publication date: 16 August 2000

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

Full work available at URL: https://doi.org/10.3934/dcds.1996.2.351

zbMATH Keywords

homoclinic orbitcenter manifoldcodimension 2 homoclinic bifurcationdiscrete saddle-node homoclinic orbitparameterized dynamical system

Mathematics Subject Classification ID

Computational methods for bifurcation problems in dynamical systems (37M20) Finite difference and finite volume methods for ordinary differential equations (65L12) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

NUMERICAL ANALYSIS OF DEGENERATE CONNECTING ORBITS FOR MAPS ⋮ Error estimates for approximating non-hyperbolic heteroclinic orbits of maps ⋮ HOMOCLINIC BIFURCATIONS IN A PLANAR DYNAMICAL SYSTEM ⋮ On manifolds of connecting orbits in discretizations of dynamical systems

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