68 citations · 88 across the 15 of their papers we have counts for
19 papers
Darboux theory of integrability for real polynomial vector fields on the dimensional ellipsoid
J. Llibre, Adrian C. Murza
We extend to the -dimensional ellipsoid contained in the Darboux theory of integrability for polynomial vector fields in the -dimensional sphere (Llibre et al., 2…
Periodic Solutions to Reversible Second Order Autonomous DDEs in Prescribed Symmetric Nonconvex Domains
Zalman Balanov, Norimichi Hirano, Wieslaw Krawcewicz +2
The existence and spatio-temporal patterns of -periodic solutions to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouw…
Shear flow dynamics in the Beris-Edwards model of nematic liquid crystals
Adrian C. Murza, Antonio E. Teruel, Arghir D. Zarnescu
We consider the Beris-Edwards model describing nematic liquid crystal dynamics and restrict to a shear flow and spatially homogeneous situation. We analyze the dynamics focusing on…
Polynomial vector fields on the Clifford torus
Jaume Llibre, Adrian C. Murza
First we characterize all the polynomial vector fields in which have the Clifford torus as an invariant surface. After we study the number of invariant meridians and paralle…
First integrals of a class of -dimensional Lotka-Volterra differential systems
Jaume Llibre, Adrian C. Murza, Antonio E. Teruel
Lotka-Volterra model is one of the most popular in biochemistry. It is used to analyze cooperativity, autocatalysis, synchronization at large scale and especially oscillatory behav…
Heteroclinic Cycles in ODEs with the Symmetry of the Quaternionic Group
Adrian C. Murza
In this paper we analyze the heteroclinic cycle and the Hopf bifurcation of a generic dynamical system with the symmetry of the group constructed via a Cayley graph…