\(C^k\)-smoothness of invariant curves in a global saddle-node bifurcation

DOI10.1006/jdeq.1996.0044zbMath0923.58034OpenAlexW2012611453MaRDI QIDQ1912512

Todd R. Young

Publication date: 31 October 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1996.0044

zbMATH Keywords

saddle-node bifurcationfixed pointinvariant curveshomoclinic orbitsinvariant foliationscenter-stable manifoldscenter-unstable manifolds

Mathematics Subject Classification ID

Ergodic theory (37A99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Critical saddle-node bifurcations and Morse-Smale maps

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