Local dynamics of planar maps with a non-isolated fixed point exhibiting \(1-1\) resonance

DOI10.1186/s13662-018-1595-xzbMath1446.37042OpenAlexW2807494313WikidataQ129943957 ScholiaQ129943957MaRDI QIDQ1712122

William T. Jamieson, Orlando Merino

Publication date: 21 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1595-x

zbMATH Keywords

planar maplocal behavior\(1-1\) resonancenon-hyperbolic fixed pointplanar difference equation

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (2)

Ground state solutions for Kirchhoff-type equations with general nonlinearity in low dimension ⋮ Differentiable invariant manifolds of nilpotent parabolic points

Cites Work

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• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• Invariant manifolds

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