On the integrability and dynamics of the Hide, Skeldon and Acheson differential system

The family of systems \begin{equation*} \dot{x}= x(y-1)-\beta z,\quad \dot{y}= \alpha (1-x^2)-\kappa y, \quad \dot{z}= x-\lambda z, \end{equation*} where $(x,y,z) \in \mathbb{R}^3$ and $\alpha$, $\beta$, $\kappa$, $\lambda$ are real parameters, was proposed by Hide, Skeldon and Acheson in 1996 for...

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Autors principals:	Érika Diz-Pita, Jaume Llibre, M. Victoria Otero-Espinar, Claudia Valls
Format:	Artigo
Idioma:	Inglês
Publicat:	University of Szeged 2025-12-01
Col·lecció:	Electronic Journal of Qualitative Theory of Differential Equations
Matèries:	hide–skeldon–acheson model polynomial first integral rational first integral invariant algebraic surface darboux invariant
Accés en línia:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=11327
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