The explosion of singular-hyperbolic attractors

DOI10.1017/S014338570300052XzbMath1067.37046arXivmath/0303253OpenAlexW2591611410MaRDI QIDQ4663961

Carlos A. Morales

Publication date: 5 April 2005

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303253

zbMATH Keywords

singularitiesLorenz attractornonisolated singularitysingular-hyperbolic attractor3D vector field

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (12)

Lorenz attractors in unfoldings of homoclinic-flip bifurcations ⋮ Sectional-Anosov flows ⋮ Singular-hyperbolic attractors with handlebody basins ⋮ On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets ⋮ On the sensitivity of sectional-Anosov flows ⋮ A sectional-Anosov connecting lemma ⋮ Finiteness and existence of attractors and repellers on sectional hyperbolic sets ⋮ Lyapunov stability and sectional-hyperbolicity for higher-dimensional flows ⋮ An improved sectional-Anosov closing Lemma ⋮ A singular-hyperbolic closing Lemma ⋮ Attractors and orbit-flip homoclinic orbits for star flows ⋮ Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability

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