Aperiodic dynamical systems. (English) Zbl 0936.37039

Kuperberg, Krystyna

Notices Am. Math. Soc. 46, No. 9, 1035-1040 (1999).

This is a survey paper. The author introduces some nice theorems which describe interesting properties of the sphere through certain kinds of vector fields on it. The article is based on a lecture given by the author at the Joint Meeting in San Antonio in January 1999.

Reviewer: Maoan Han (Shanghai)

MSC:

37J45	Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010)
37K25	Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry
57R27	Controllability of vector fields on \(C^\infty\) and real-analytic manifolds
57R30	Foliations in differential topology; geometric theory
57R55	Differentiable structures in differential topology

Keywords:

aperiodic dynamical systems; vector field; manifold; periodic orbit; sphere; twisted plugs; dynamical flows