Discrete dichotomies and bifurcations from critical homoclinic orbits

DOI10.1006/jmaa.1997.5769zbMath0959.37041OpenAlexW2048139228MaRDI QIDQ1269657

Flaviano Battelli, Claudio Lazzari

Publication date: 24 April 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5769

zbMATH Keywords

bifurcationhomoclinic orbitsdiscrete time dynamical systems

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (1)

PERTURBING TWO-DIMENSIONAL MAPS HAVING CRITICAL HOMOCLINIC ORBITS

Cites Work

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• Geometric theory of semilinear parabolic equations
• Bifurcation of heteroclinic orbits for diffeomorphisms
• On the bifurcation from critical homoclinic orbits in \(N\)-dimensional maps
• Exponential dichotomies and transversal homoclinic points
• Existence of transversal homoclinic points in a degenerate case
• Using Melnikov's method to solve Silnikov's problems
• The Existence of Homoclinic Orbits and the Method of Melnikov for Systems in $R^n$
• Mel’nikov’s Function for Two-Dimensional Mappings
• Homoclinic bifurcations in n-dimensional endomorphisms, due to expanding periodic points
• ON THE SMOOTHNESS OF THE COMPOSITION MAP

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