Homoclinic solutions in a quadratic differential system under discretization

DOI10.1080/10236198.2012.658383zbMath1275.34062OpenAlexW2032522209MaRDI QIDQ4916367

Nadia Mohdeb, Noureddine Mehidi

Publication date: 22 April 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2012.658383

zbMATH Keywords

homoclinic solutionsEuler discretizationnon-hyperbolic stationary point

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Discrete version of topics in analysis (39A12) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Visualizing the complex dynamics of families of polynomials with symmetric critical points
• Numerical Taylor expansions for invariant manifolds
• On manifolds of connecting orbits in discretizations of dynamical systems
• Structural Stability for the Euler Method

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