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20022008
most citedBasin Bifurcations in a Two-Dimensional Logistic Map

14 citations · 49 across the 21 of their papers we have counts for

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Showing 2004Show all

5 papers · 1 filter

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…

nlin.CD20041 cited

An approach to the problem of generating irreducible polynomials over the finite field GF(2) and its relationship with the problem of periodicity on the space of binary sequences

Ricardo Lopez-Ruiz

A method for generating irreducible polynomials of degree n over the finite field GF(2) is proposed. The irreducible polynomials are found by solving a system of equations that bri…