84 citations · 283 across the 27 of their papers we have counts for
27 papers
An unexpected theoretical structure that could explain quantum-mechanics postulates like the Born rule and the wave-function reduction
Léon Brenig, Marc Vincke
A unique postulate is shown to underly the whole quantum mechanics theory: the invariance of the Heisenberg uncertainty inequality under a group of special nonlinear gauge transfor…
Modified Verhulst-Solow model for long-term population and economic growths
Iram Gleriaa, Sergio Da Silvab, Leon Brenig +2
In this study, we analyze the relationship between human population growth and economic dynamics. To do so, we present a modified version of the Verhulst model and the Solow model,…
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…
Characterization and solvability of quasipolynomial symplectic mappings
Benito Hernández-Bermejo, Léon Brenig
Quasipolynomial (or QP) mappings constitute a wide generalization of the well-known Lotka-Volterra mappings, of importance in different fields such as population dynamics, Physics,…
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…
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…