One-Dimensional Basic Sets in the Three-Sphere

DOI10.2307/1995966zbMath0209.27802OpenAlexW4237023101MaRDI QIDQ5610915

Joel C. Gibbons

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/1995966

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75)

Related Items (6)

Dynamical Systems with Nontrivially Recurrent Invariant Manifolds ⋮ There are no structural stable axiom a 3-diffeomorphisms with dynamics ``one-dimensional surfaced attractor-repeller ⋮ Volume hyperbolicity and wildness ⋮ On the existence of attractors ⋮ Nonwandering set of Smale-Vietoris diffeomorphisms ⋮ Existence of an energy function for three-dimensional chaotic “sink-source” cascades

Cites Work

• One-dimensional non-wandering sets
• Structurally Stable Systems are not Dense
• Knot Groups. Annals of Mathematics Studies. (AM-56)
• Differentiable dynamical systems

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