Robust attractors without dominated splitting on manifolds with boundary

DOI10.3934/dcds.2014.34.4555zbMath1351.37137OpenAlexW2321230744MaRDI QIDQ476566

Dante Carrasco-Olivera, Bernardo San Martín Rebolledo

Publication date: 2 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.4555

zbMATH Keywords

dominated splittingattractor setsrobust transitive sets

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics induced by flows and semiflows (37C10) Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30) Attractors of solutions to ordinary differential equations (34D45)

Cites Work

• Sufficient conditions for a partially hyperbolic attractor to be a homoclinic class
• On the concept of attractor
• Structural stability of Lorenz attractors
• The explosion of singular cycles
• Robustly transitive flows on compact manifolds
• Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• SINGULAR CYCLES AND C^k-ROBUST TRANSITIVE SET ON MANIFOLD WITH BOUNDARY
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Three-Dimensional Flows
• On C1 robust singular transitive sets for three-dimensional flows
• Singular hyperbolic systems
• The dynamics of perturbations of the contracting Lorenz attractor
• Invariant manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Robust attractors without dominated splitting on manifolds with boundary