activity
20022005
most citedBasin Bifurcations in a Two-Dimensional Logistic Map

14 citations · 35 across the 13 of their papers we have counts for

collaborators

14 papers

nlin.CD20051 cited

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…

nlin.CD200510 cited

Route to Chaos in Three-Dimensional Maps of Logistic Type

Daniele Fournier-Prunaret, Ricardo Lopez-Ruiz, Abdel-Kaddous Taha

A route to chaos is studied in 3-dimensional maps of logistic type. Mechanisms of period doubling for invariant closed curves (ICC) are found for specific 3-dimensional maps. These…

nlin.AO20041 cited

Awaking and Sleeping a Complex Network

R. Lopez-Ruiz, Y. Moreno, S. Boccaletti +2

A network with local dynamics of logistic type is considered. We implement a mean-field multiplicative coupling among first-neighbor nodes. When the coupling parameter is small the…

nlin.AO20044 cited

Three Logistic Models for the Two-Species Interactions: Symbiosis, Predator-Prey and Competition

R. Lopez-Ruiz, D. Fournier-Prunaret

If one isolated species is supposed to evolve following the logistic mapping, then we are tempted to think that the dynamics of two species can be expressed by a coupled system of…

nlin.CD2004

Indirect Allee Effect, Bistability and Chaotic Oscillations in a Predator-Prey Discrete Model of Logistic Type

Ricardo Lopez-Ruiz, Daniele Fournier-Prunaret

A cubic discrete coupled logistic equation is proposed to model the predator-prey problem. The coupling depends on the population size of both species and on a positive constant $λ…

nlin.AO20043 cited

Complex Behaviour in a Discrete Coupled Logistic Model for the Symbiotic Interaction of Two Species

Ricardo Lopez-Ruiz, Daniele Fournier-Prunaret

A symmetrical cubic discrete coupled logistic equation is proposed to model the symbiotic interaction of two isolated species. The coupling depends on the population size of both s…