9 citations · 15 across the 7 of their papers we have counts for
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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…
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…
Darboux theory of integrability for real polynomial vector fields on $\sss^n$
Jaume Llibre, Adrian C. Murza
This is a survey on the Darboux theory of integrability for polynomial vector fields, first in and second in the -dimensional sphere $\sss^n$. We also provide new results…
Global dynamics of a family of 3D Lotka-Volterra Systems
Adrian C. Murza, Antonio E. Teruel
In this paper we analyze the flow of a family of three dimensional Lotka-Volterra systems restricted to an invariant and bounded region. The behaviour of the flow in the interior o…