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- P P Avelino, D Bazeia, L Losano, J Menezes
- Physical review. E, Statistical, nonlinear, and…
- 2012

We introduce a family of rock-paper-scissors-type models with Z(N) symmetry (N is the number of species), and we show that it has a very rich structure with many completely different phases. We study realizations that lead to the formation of domains, where individuals of one or more species coexist, separated by interfaces whose (average) dynamics is… (More)

- P P Avelino, D Bazeia, L Losano, J Menezes, B F Oliveira
- Physical review. E, Statistical, nonlinear, and…
- 2012

We investigate the population dynamics in generalized rock-paper-scissors models with an arbitrary number of species N. We show that spiral patterns with N arms may develop both for odd and even N, in particular in models where a bidirectional predation interaction of equal strength between all species is modified to include one N-cyclic predator-prey rule.… (More)

- P P Avelino, D Bazeia, L Losano, J Menezes, B F de Oliveira
- Physical review. E, Statistical, nonlinear, and…
- 2014

In this work we investigate the development of stable dynamical structures along interfaces separating domains belonging to enemy partnerships in the context of cyclic predator-prey models with an even number of species N≥8. We use both stochastic and field theory simulations in one and two spatial dimensions, as well as analytical arguments, to describe… (More)

- D. Bazeia
- 1997

In this paper we consider a class of systems of two coupled real scalar fields in bidimensional spacetime, with the main motivation of studying classical or linear stability of soliton solutions. Firstly, we present the class of systems and comment on the topological profile of soliton solutions one can find from the first-order equations that solve the… (More)

We investigate the presence of chaos in a system of two real scalar fields with discrete Z 2 × Z 2 symmetry. The potential that identify the system is defined with a real parameter r and presents distinct features for r > 0 and for r < 0. For static field configurations, the system ntsupports two topological sectors for r > 0, and only one for r < 0. Under… (More)

We investigate the population dynamics in generalized Rock-Paper-Scissors models with an arbitrary number of species N. We show, for the first time, that spiral patterns with N-arms may develop both for odd and even N , in particular in models where a bidirectional predation interaction of equal strength between all species is modified to include one… (More)

- D. Bazeia, Ashok Das, L. Losano, M. J. Santos
- Appl. Math. Lett.
- 2010

We consider a description of membranes by (2, 1)-dimensional field theory, or alternatively a description of irrotational, isentropic fluid motion by a field theory in any dimension. We show that these Galileo-invariant systems, as well as others related to them, admit a peculiar diffeomorphism symmetry, where the transformation rule for coordinates… (More)

In this work we investigate the role of the symmetry of the Lagrangian on the existence of defects in systems of coupled scalar fields. We focus attention mainly on solutions where defects may nest defects. When space is non-compact we find topological BPS and non-BPS solutions that present internal structure. When space is compact the solutions are… (More)

- W B Cardoso, A T Avelar, D Bazeia
- Physical review. E, Statistical, nonlinear, and…
- 2011

We deal with the three-dimensional Gross-Pitaevskii equation which is used to describe a cloud of dilute bosonic atoms that interact under competing two- and three-body scattering potentials. We study the case where the cloud of atoms is strongly confined in two spatial dimensions, allowing us to build an unidimensional nonlinear equation,controlled by the… (More)