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Dynamical Systems of Hyperbolic Type with Singularities

  • L. A. Bunimovich
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 2)

Abstract

There are many important problems in physics where dynamical systems of hyperbolic type with singularities have arisen. Moreover, a Poincaré map for a smooth (and even analytic) flow often possesses singularities. One should also mention that the representation of a flow as a special flow (see Chap. 1, Sect. 4) and the passage to the corresponding induced (Poincaré) map is one of the most effective tools to study ergodic properties of dynamical systems with continuous time.

Keywords

Strange Attractor Geodesic Flow Ergodic Property Hyperbolic Type Regular Component 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • L. A. Bunimovich

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