Geometric approach to the bifurcation at infinity: a case study

DOI10.1007/s12346-024-00966-5OpenAlexW4391885990MaRDI QIDQ6153430

Takashi Okuda, Yu Ichida

Publication date: 19 March 2024

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-024-00966-5

zbMATH Keywords

bifurcation at infinityBendixson compactificationPoincaré-type compactification

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)

Cites Work

• Multiple time scale dynamics
• Topological equivalence of a plane vector field with its principal part defined through Newton polyhedra
• Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity
• On bifurcation from infinity
• Geometric treatments and a common mechanism in finite-time singularities for autonomous ODEs
• Bifurcation from infinity with applications to reaction-diffusion systems
• Qualitative theory of planar differential systems
• On Blow-Up Solutions of Differential Equations with Poincaré-Type Compactifications
• A SURVEY ON THE BLOW UP TECHNIQUE
• SOLUTIONS OF LARGE NORM FOR NON-LINEAR STURM-LIOUVILLE PROBLEMS

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