Dynamics and Darboux Integrability of the D2 Polynomial Vector Fields of Degree 2 in $\mathbb {R}^{3}$

Author:

Ginoux Jean-Marc,Llibre JaumeORCID,Valls Claudia

Funder

Ministerio de Ciencia, Innovación y Universidades

Agència de Gestió d’Ajuts Universitaris i de Recerca

H2020 European Research Council

FCT/Portugal

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Mathematical Physics

Reference17 articles.

1. Anastassiou, S, Pnevmatikos, S., Bountis, T.: Quadratic vector fields equivariant under the D2, symmetry group. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 23(1350017), 14 (2013)

2. Chechin, G.M., Ryabov, D.S.: Three-dimensional chaotic flows with discrete symmetries. Phys. Rev. E. 69(036202), 9 (2004)

3. Chossat, P., Lauterbach, R.: Methods in Equivariant Bifurcations and Dynamical Systems. World Scientific (2000)

4. Christopher, C.: Invariant algebraic curves and conditions for a center. Proc. R. Soc. Edinburgh, Sect. A: Math. 124 A, 1209–1229 (1994)

5. Christopher, C., Llibre, J., Pereira, J.: Multiplicity of invariant algebraic curves in polynomial vector fields. Pac. J. Math. 229, 63–117 (2007)

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