Quadratic slow-fast systems on the plane

DOI10.1016/j.nonrwa.2020.103286zbMath1483.34078OpenAlexW3129115880MaRDI QIDQ2025891

Ingrid S. Meza-Sarmiento, Regilene D. S. Oliveira, Paulo Ricardo da Silva

Publication date: 17 May 2021

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103286

zbMATH Keywords

singular perturbationvector fieldquadratic systemtopological invariant

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15)

Cites Work

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• Extending slow manifolds near transcritical and pitchfork singularities
• Classification of Continuous Flows on 2-Manifolds
• Canard cycles and center manifolds
• Singular perturbation problems for time-reversible systems
• Global Structure of Ordinary Differential Equations in the Plane

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