Singular strange attractors on the boundary of Morse-Smale systems

DOI10.1016/S0012-9593(97)89936-3zbMath0911.58022OpenAlexW1996541826MaRDI QIDQ4376755

Enrique R. Pujals, Carlos A. Morales

Publication date: 24 March 1998

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_1997_4_30_6_693_0

zbMATH Keywords

Morse-Smale systemssingular strange attractors

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Morse-Smale systems (37D15)

Related Items (16)

On the topological dynamics and phase-locking renormalization of Lorenz-like maps ⋮ Unnamed Item ⋮ Mixing properties in expanding Lorenz maps ⋮ On the volume of singular-hyperbolic sets ⋮ Maximal transitive sets with singularities for genericC 1 vector fields ⋮ On the sensitivity of sectional-Anosov flows ⋮ Topological dynamics of two-piece eventually expanding maps ⋮ Poincaré-Hopf index and partial hyperbolicity ⋮ Transverse surfaces and attractors for 3-flows ⋮ A singular-hyperbolic closing Lemma ⋮ Singular-hyperbolic attractors are chaotic ⋮ An attracting singular-hyperbolic set containing a non trivial hyperbolic repeller ⋮ A robustly chain transitive attractor with singularities of different indices ⋮ Topology of attractors from two-piece expanding maps ⋮ Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability ⋮ Singular strange attractors beyond the boundary of hyperbolic flows

Cites Work

• Unnamed Item
• Unnamed Item
• Stability of parametrized families of gradient vector fields
• Bifurcations and global stability of families of gradients
• Bifurcations and stability of families of diffeomorphisms
• Structural stability of Lorenz attractors
• The structure of Lorenz attractors
• Prime and renormalisable kneading invariants and the dynamics of expanding Lorenz maps
• Abundance of strange attractors
• The explosion of singular cycles
• Lorenz type attractors from codimension one bifurcation
• Strange attractors in saddle-node cycles: Prevalence and globality
• Lorenz attractor through saddle-node bifurcations
• Partially hyperbolic fixed points
• Dynamical systems with generalized hyperbolic attractors: hyperbolic, ergodic and topological properties
• ON ATTAINABLE TRANSITIONS FROM MORSE-SMALE SYSTEMS TO SYSTEMS WITH MANY PERIODIC MOTIONS
• Unfolding contracting singular cycles
• Rotation intervals for a class of maps of the real line into itself
• A degenerate singularity generating geometric Lorenz attractors
• Invariant manifolds

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