Email this article Dynamical systems on the Liouville plane and the related strictly contact systems
- Authors: Anastassiou S.1
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Affiliations:
- Center of Research and Applications of Nonlinear Systems (CRANS)
- Issue: Vol 21, No 7-8 (2016)
- Pages: 862-873
- Section: Nonlinear Dynamics & Mobile Robotics
- URL: https://ogarev-online.ru/1560-3547/article/view/218488
- DOI: https://doi.org/10.1134/S1560354716070091
- ID: 218488
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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.
About the authors
Stavros Anastassiou
Center of Research and Applications of Nonlinear Systems (CRANS)
Author for correspondence.
Email: SAnastassiou@gmail.com
Greece, Rion, GR-26500
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