58 citations · 153 across the 7 of their papers we have counts for
7 papers
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…
A constant of motion in 3D implies a local generalized Hamiltonian structure
Benito Hernández-Bermejo, Victor Fairén
We demonstrate that a Poisson structure can always be associated to a general nonautonomous 3D vector field of ODEs by means of a diffeomorphism that preserves both the orientation…
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…
Algebraic recasting of nonlinear systems of ODEs into universal formats
Benito Hernández-Bermejo, Victor Fairén, Léon Brenig
It is sometimes desirable to produce for a nonlinear system of ODEs a new representation of simpler structural form, but it is well known that this goal may imply an increase in th…
Hamiltonian structure and Darboux theorem for families of generalized Lotka-Volterra systems
Benito Hernández-Bermejo, Victor Fairén
This work is devoted to the establishment of a Poisson structure for a format of equations known as Generalized Lotka-Volterra systems. These equations, which include the classical…
Mass Action Law Conjugate Representation for General Chemical Mechanisms
V. Fairén, Benito Hernández-Bermejo
Power-law rates constitute a common approximation to the general analysis of the stability properties of complex reaction networks. We point out in this paper that this form for th…