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Dynamical Systems
An International Journal
Volume 33, 2018 - Issue 4
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Articles

The wild Fox–Artin arc in invariant sets of dynamical systems

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Pages 660-666 | Received 11 Jul 2017, Accepted 21 Dec 2017, Published online: 11 Jan 2018

References

  • C. Bonatti and V. Grines, Knots as topological invariants for gradient-like diffeomorphisms of the sphere S3. J. Dyn. Control Syst. 6(4) (2000), pp. 579–602.
  • R. Fox and E. Artin, Some wild cells and spheres in three-dimensional space. Ann. Math., 49, (4) (1948), pp. 979–990.
  • V.Z. Grines, T.V. Medvedev, and O.V. Pochinka, Dynamical Systems on 2- and 3-Manifolds, Developments in Mathematics Vol.46, Springer International Publishing, Cham, Switzerland, 2016.
  • K. Kuperberg, 2-wild trajectories. Discrete Cont. Dyn. Syst. Supplement volume (2005), pp. 518–523.
  • B. Mazur, A note on some contractible 4-manifolds. Ann. Math. 79(1) (1961), pp. 221–228.
  • D. Pixton, Wild unstable manifolds. Topology. 16(2) (1977), pp. 167–172.

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