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8 p, 299.6 KB Polynomial vector fields on the Clifford torus / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Murza, Adrian C. (University of Texas at Dallas. Department of Mathematical Sciences (USA))
First, we characterize all the polynomial vector fields in R4 which have the Clifford torus as an invariant surface. Then we study the number of invariant meridians and parallels that such polynomial vector fields can have on the Clifford torus as a function of the degree of these vector fields.
2021 - 10.1142/S0218127421500577
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 31, Issue 4 (March 2021) , art. 2150057  
2.
10 p, 300.0 KB On a conjecture on the integrability of Liénard systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Murza, Adrian C. (Insitutul de Matematică Simion Stoilow al Academiei Române) ; Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)
We consider the Liénard differential systems ̇x=y+F(x), ̇y=x (1), in C2 where F(x) is an analytic function satisfying F(0) = 0 and F'(0) ≠ 0. Then these systems have a strong saddle at the origin of coordinates. [...]
2020 - 10.1007/s12215-018-00398-6
Rendiconti del Circolo Matematico di Palermo, Vol. 69, Issue 1 (April 2020) , p. 209-216  

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2 Murza, Adrian
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