58 citations · 418 across the 34 of their papers we have counts for
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Conservative quasipolynomial maps
Benito Hernández-Bermejo, Léon Brenig
The existence of conservative quasipolynomial (QP) maps is investigated. A classification is given for dimensions two and three, and the analytical solution of the former case is c…
Algebraic decoupling of variables for systems of ODEs of quasipolynomial form
Benito Hernández-Bermejo, Victor Fairén
A generalization of the reduction technique for ODEs recently introduced by Gao and Liu is given. It is shown that the use of algebraic methods allows the extension of the procedur…
Local Stability and Lyapunov Functionals for n-Dimensional Quasipolynomial Conservative Systems
Benito Hernández-Bermejo, Victor Fairén
We present a method for determining the local stability of equilibrium points of conservative generalizations of the Lotka-Volterra equations. These generalizations incorporate bot…
Some global results on quasipolynomial discrete systems
Benito Hernández-Bermejo, Léon Brenig
The quasipolynomial (QP) generalization of Lotka-Volterra discrete-time systems is considered. Use of the QP formalism is made for the investigation of various global dynamical pro…
Quasipolynomial generalization of Lotka-Volterra mappings
Benito Hernández-Bermejo, Léon Brenig
In the last years it has been shown that Lotka-Volterra mappings constitute a valuable tool from both the theoretical and the applied points of view, with developments in very dive…