Germs of bifurcation diagrams and SN–SN families

DOI10.1063/5.0030742zbMath1466.37042OpenAlexW3119370157MaRDI QIDQ4983642

Yulij S. Ilyashenko

Publication date: 26 April 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0030742

zbMATH Keywords

structural stabilitybifurcation diagramsgerms of bifurcationssaddle-node families

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Normal forms for dynamical systems (37G05) Generic properties, structural stability of dynamical systems (37C20)

Cites Work

• Global bifurcations in the two-sphere: a new perspective
• Partially hyperbolic fixed points
• Normal forms for certain singularities of vectorfields
• Global bifurcations in generic one-parameter families with a parabolic cycle on $S^2$
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