13 citations · 21 across the 6 of their papers we have counts for
6 papers
An integrable family of Poisson systems: Characterization and global analysis
Benito Hernández-Bermejo
A family of solutions of the Jacobi PDEs is investigated. This family is -dimensional, of arbitrary nonlinearity and can be globally analyzed (thus improving the usual local sco…
Renormalization group approach to power-law modeling of complex metabolic networks
Benito Hernández-Bermejo
In the modeling of complex biological systems, the use of power-law models (such as S-systems and GMA systems) often provides a remarkable accuracy over several orders of magnitude…
On the generality of a cosmological speculation based on Heisenberg's principle
Benito Hernández-Bermejo
In a previous work [1], it was speculated that the lack of homogeneity of the large-scale structure of the universe may be due to quantum fluctuations of space in the early univers…
Lotka-Volterra representation of general nonlinear systems
Benito Hernández-Bermejo, V. Fairén
In this paper we elaborate on the structure of the Generalized Lotka-Volterra (GLV) form for nonlinear differential equations. We discuss here the algebraic properties of the GLV f…
New travelling wave solutions for the Fisher-KPP equation with general exponents
Ariel Sánchez-Valdés, Benito Hernández-Bermejo
The Fisher-KPP equation with general nonlinear diffusion and arbitrary kinetic orders in the reaction terms is considered. The existence of oscillatory travelling wave solutions is…
Stability Conditions and Liapunov Functions for Quasi-Polynomial Systems
Benito Hernández-Bermejo
The stability of equilibrium points of quasi-polynomial systems of ODES is considered. The criteria and Liapunov functions found generalize those traditionally known for Lotka-Volt…