Examples of singular-hyperbolic attracting sets
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Publication:3534034
DOI10.1080/14689360701210939zbMath1153.37016OpenAlexW2068213827MaRDI QIDQ3534034
Publication date: 3 November 2008
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14689360701210939
classificationLorenz-like attractorgeometric Lorenz attractor3-flowssingular hyperbolic attracting set
Dynamical systems with hyperbolic orbits and sets (37D05) Partially hyperbolic systems and dominated splittings (37D30)
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Cites Work
- Unnamed Item
- Unnamed Item
- Knots and links in three-dimensional flows
- On the concept of attractor
- Structural stability of Lorenz attractors
- Strange attractors across the boundary of hyperbolic systems
- Sufficient conditions for robustness of attractors
- A note on periodic orbits for singular-hyperbolic flows
- One-dimensional non-wandering sets
- Mixing attractors for 3-flows
- Singular hyperbolic systems
- Smale flows in dimension 3: finite presentations of invariant neighbourhoods of saddle sets