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2013
Impact Factor

Stavros Anastassiou

Patras, Greece

Publications:

Anastassiou  S.
Dynamical Systems on the Liouville Plane and the Related Strictly Contact Systems
2016, vol. 21, no. 7-8, pp.  862-873
Abstract
We study vector fields of the plane preserving the Liouville form. We present their local models up to the natural equivalence relation and describe local bifurcations of low codimension. To achieve that, a classification of univariate functions is given according to a relation stricter than contact equivalence. In addition, we discuss their relation with strictly contact vector fields in dimension three. Analogous results for diffeomorphisms are also given.
Keywords: systems preserving the Liouville form, strictly contact systems, classification, bifurcations
Citation: Anastassiou  S.,  Dynamical Systems on the Liouville Plane and the Related Strictly Contact Systems, Regular and Chaotic Dynamics, 2016, vol. 21, no. 7-8, pp. 862-873
DOI:10.1134/S1560354716070091

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