Home > Search Results: Murza, Adrian
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Articles, 4 records found
Articles 4 records found  
1.
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  
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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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3.
14 p, 779.1 KB Darboux theory of integrability for real polynomial vector fields on Sⁿ / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Murza, Adrian (Insitutul de Matematică Simion Stoilow al Academiei Române)
This is a survey on the Darboux theory of integrability for polynomial vector fields, first in Rⁿ and second in the n-dimensional sphere Sⁿ. We also provide new results about the maximum number of invariant parallels and meridians that a polynomial vector field X on Sⁿ can have in function of its degree. [...]
2018 - 10.1080/14689367.2017.1420141
Dynamical Systems, 2018, p. 1-14  
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4.
16 p, 478.3 KB Limit cycles for a class of quintic Z_6 equivariant systems without infinite critical points / Álvarez Torres, María Jesús (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica) ; Laboriau, Isabel S. (Centro de Matemática da Universidade do Porto (Portugal)) ; Murza, Adrian (Centro de Matemática da Universidade do Porto (Portugal))
We analyze the dynamics of a class of Z_6-equivariant systems of the form =pz^2 sz^3^2-^5, where z is complex, the time t is real, while p and s are complex parameters. This study is the natural continuation of a previous work (M. [...]
2014
Bulletin of the Belgian Mathematical Society. Simon Stevin, Vol. 21 (2014) , p. 841-857  
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