A. Murza

activity

20152024

most citedOscillation patterns in tori of modified FHN neurons

9 citations · 15 across the 7 of their papers we have counts for

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Showing 2017 · math.DSShow all

4 papers · 2 filters

math.DS2017

Polynomial vector fields on the Clifford torus

Jaume Llibre, Adrian C. Murza

First we characterize all the polynomial vector fields in $R^{4}$ which have the Clifford torus as an invariant surface. After we study the number of invariant meridians and paralle…

math.DS2017

First integrals of a class of $n$ -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…

math.DS2017

Heteroclinic Cycles in ODEs with the Symmetry of the Quaternionic $Q_{8}$ 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 $Q_{8},$ constructed via a Cayley graph…

math.DS2017

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 $R^{n}$ and second in the $n$ -dimensional sphere $\sss^n$. We also provide new results…

Polynomial vector fields on the Clifford torus

First integrals of a class of n-dimensional Lotka-Volterra differential systems

Heteroclinic Cycles in ODEs with the Symmetry of the Quaternionic Q8​ Group

Darboux theory of integrability for real polynomial vector fields on $\sss^n$

First integrals of a class of $n$ -dimensional Lotka-Volterra differential systems

Heteroclinic Cycles in ODEs with the Symmetry of the Quaternionic $Q_{8}$ Group