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…
Separation of variables in the Jacobi identities
Benito Hernández-Bermejo, V. Fairén
A new family of -dimensional solutions of the Jacobi identities is characterized. Such a family is very general, thus unifying in a common framework many different well-known Po…