176 citations · 722 across the 56 of their papers we have counts for
6 papers · 1 filter
Multistability and Juggling States in Frustrated Kuramoto Oscillators on Ring Networks
Guilherme S. Costa, Ricardo Fariello, Marcus A. M. de Aguiar
We study the properties of matrix coupled oscillators in ring networks and show that the system supports several families of synchronized clustered solutions. One of these families…
Speciation, extinction and explosions induced by sudden environmental changes
Larissa G. Landucci, Marcus A. M. de Aguiar
We study the evolution of sexually reproducing populations subjected to sudden environmental changes. Using an individual based model we consider scenarios where abrupt changes can…
What sets the critical genome length for sympatric speciation? A closed form and asymptotic theory
Dan Braha, Marcus A. M. de Aguiar, Vitor M. Marquioni
In the Derrida--Higgs model of sympatric speciation, a sexually reproducing population with finite binary genomes can mate only when the genetic overlap between two individuals exc…
Majority Correctness in Social Networks: From Well-Mixed Electorates to Complex Networks
Dan Braha, Marcus A. M. de Aguiar
We study majority correctness when voting is preceded by sustained social interaction on a social network. Motivated by the Condorcet Jury Theorem, we consider a binary choice with…
Selection Mechanisms, Stationary Distributions, and Reversibility in Multiallelic Moran Models
Dan Braha, Marcus A M de Aguiar
The Moran process with selection and recurrent mutation is a classical model in population genetics, yet how the placement of selection within the update rule shapes the stationary…
Arnold tongues in the forced Kuramoto model with matrix coupling
Guilherme S. Costa, Marcus A. M. de Aguiar
We consider a generalization of the Kuramoto model in which phase oscillators are represented by unit vectors coupled by a matrix of constant coefficients. We show that, when the o…