23 citations · 60 across the 12 of their papers we have counts for
12 papers
The bistable brain: a neuronal model with symbiotic interactions
Ricardo Lopez-Ruiz, Daniele Fournier-Prunaret
In general, the behavior of large and complex aggregates of elementary components can not be understood nor extrapolated from the properties of a few components. The brain is a goo…
Fractal Basins and Boundaries in 2D Maps inspired in Discrete Population Models
Daniele Fournier-Prunaret, Ricardo Lopez-Ruiz
Two-dimensional maps can model interactions between populations. Despite their simplicity, these dynamical systems can show some complex situations, as multistability or fractal bo…
Regions of multistability in some low-dimensional logistic models with excitation type coupling
Ricardo Lopez-Ruiz, Daniele Fournier-Prunaret
A naive model of many networked logistic maps with an excitation type coupling [Neural Networks, vol. 20, 102--108 (2007)], which is an extension of other low dimensional models, h…
Dynamical Study of a Second Order DPCM Transmission System Modeled by a Piece-Wise Linear Function
Ina Taralova, D. Fournier-Prunaret
This paper analyses the behaviour of a second order DPCM (Differential Pulse Code Modulation) transmission system when the nonlinear characteristic of the quantizer is taken into c…
Three Logistic Models for the Ecological and Economic Interactions: Symbiosis, Predator-Prey and Competition
Ricardo Lopez-Ruiz, Daniele Fournier-Prunaret
If one isolated species (corporation) is supposed to evolve following the logistic mapping, then we are tempted to think that the dynamics of two species (corporations) can be expr…
Periodic and Chaotic Events in a Discrete Model of Logistic Type for the Competitive Interaction of Two Species
Ricardo Lopez-Ruiz, Daniele Fournier-Prunaret
Two symmetrically coupled logistic equations are proposed to mimic the competitive interaction between two species. The phenomena of coexistence, oscillations and chaos are present…