Contracting singular cycles

DOI10.1016/S0294-1449(98)80004-8zbMath0942.37039MaRDI QIDQ1266335

Bernardo San Martín Rebolledo

Publication date: 27 October 1998

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1998__15_5_651_0

zbMATH Keywords

periodic orbitsingular orbitsimple singular cycle

Mathematics Subject Classification ID

Singularities of vector fields, topological aspects (58K45) Generic properties, structural stability of dynamical systems (37C20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems with hyperbolic orbits and sets (37D05) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (2)

Nonhyperbolic persistent attractors near the Morse-Smale boundary. ⋮ Degenerated singular cycles of inclination-flip type1

Cites Work

• Erratum. Hyperbolicity, sinks and measure in one dimensional dynamics
• The explosion of singular cycles
• Stable Orbits and Bifurcation of Maps of the Interval
• The dynamics of perturbations of the contracting Lorenz attractor
• Unfolding contracting singular cycles

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