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Regular and Chaotic Dynamics, 2016, Volume 21, Issue 7-8, Pages 862–873
DOI: https://doi.org/10.1134/S1560354716070091 (Mi rcd232) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Dynamical Systems on the Liouville Plane and the Related Strictly Contact Systems

Stavros Anastassiou

Center of Research and Applications of Nonlinear Systems (CRANS) University of Patras, Department of Mathematics, GR-26500 Rion, Greece
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DOI: https://doi.org/10.1134/S1560354716070091
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.
Received: 14.08.2016
Accepted: 22.11.2016
Bibliographic databases:
Document Type: Article
MSC: 37C15, 37J10, 58K45, 53D10
Language: English
Citation: Stavros Anastassiou, “Dynamical Systems on the Liouville Plane and the Related Strictly Contact Systems”, Regul. Chaotic Dyn., 21:7-8 (2016), 862–873
Citation in format AMSBIB
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\by Stavros Anastassiou
\paper Dynamical Systems on the Liouville Plane and the Related Strictly Contact Systems
\jour Regul. Chaotic Dyn.
\yr 2016
\vol 21
\issue 7-8
\pages 862--873
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85016061826}
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    • This publication is cited in the following 1 articles:
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