The stability of a degenerate fixed point for Guzowska–Luís–Elaydi model

DOI10.1080/10236198.2017.1411909zbMath1425.37021OpenAlexW2772581799MaRDI QIDQ5243405

Jun Zhang, Jiyu Zhong

Publication date: 18 November 2019

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

Full work available at URL: https://doi.org/10.1080/10236198.2017.1411909

zbMATH Keywords

stabilitynormal formdesingularizationdegenerate fixed pointTakens's theorem

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Stability theory for difference equations (39A30)

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Qualitative structures of a degenerate fixed point of a Ricker competition model ⋮ Qualitative properties and bifurcations of a leaf-eating herbivores model

Cites Work

• Germs of diffeomorphisms in the plane
• Qualitative theory of planar differential systems
• Bifurcation and invariant manifolds of the logistic competition model
• Open problems in some competition models
• Codimension-two reflection and non-hyperbolic invariant lines
• A SURVEY ON THE BLOW UP TECHNIQUE
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