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.
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© 1989 Springer-Verlag Berlin Heidelberg
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Bunimovich, L.A. (1989). Dynamical Systems of Hyperbolic Type with Singularities. In: Sinai, Y.G. (eds) Dynamical Systems II. Encyclopaedia of Mathematical Sciences, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06788-8_8
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DOI: https://doi.org/10.1007/978-3-662-06788-8_8
Publisher Name: Springer, Berlin, Heidelberg
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