Unfolding contracting singular cycles

DOI10.24033/asens.1684zbMath0802.58036OpenAlexW2496108700MaRDI QIDQ4289252

Maria Jose Pacifico, Alvaro Rovella

Publication date: 11 December 1994

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1993_4_26_6_691_0

zbMATH Keywords

hyperbolic flowsMorse-Smale vector fieldsingular cycle

Mathematics Subject Classification ID

Dynamical systems with hyperbolic behavior (37D99) Morse-Smale systems (37D15)

Related Items

Nonhyperbolic persistent attractors near the Morse-Smale boundary. ⋮ Bifurcation of contracting singular cycles ⋮ Singular strange attractors on the boundary of Morse-Smale systems ⋮ Degenerated singular cycles of inclination-flip type1 ⋮ Singular cycles of vector fields on regular parts of the boundary of Morse-Smale systems ⋮ Lyapunov-Schmidt reduction for unfolding heteroclinic networks of equilibria and periodic orbits with tangencies ⋮ Saddle-focus singular cycles and prevalence of hyperbolicity ⋮ Contracting singular cycles

Cites Work

• Stability of singular horseshoes
• The explosion of singular cycles
• Stable Orbits and Bifurcation of Maps of the Interval
• The dynamics of perturbations of the contracting Lorenz attractor
• Invariant manifolds