176 citations · 722 across the 56 of their papers we have counts for
59 papers
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…
Modules as effective nodes in coarse-grained networks of Kuramoto oscillators
Leonardo L. Bosnardo, Marcus A. M. de Aguiar
Most real-world networks exhibit a significant degree of modularity. Understanding the effects of such topology on dynamical processes is pivotal for advances in social and natural…
Collective Turns in Spinless Flocks
Joao Lizárraga, Marcus A. M. de Aguiar
Using a minimal aggregation-based model, we address the efficient information transfer observed in natural flocks during collective turns. In our system, the turning signal emitted…
Synchronization of identical oscillators on a sphere: exact results with external forces and higher-order interactions
Guilherme S. Costa, Marcel Novaes, Ricardo Fariello +1
We study the dynamics of the Kuramoto model on the sphere under higher-order interactions and an external periodic force. For identical oscillators, we introduce a novel way to inc…
The transition to speciation in the finite genome Derrida-Higgs model: a heuristic solution
Vitor M. Marquioni, Marcus A. M. de Aguiar
The process of speciation, where an ancestral species divides in two or more new species, involves several geographic, environmental and genetic components that interact in a compl…
Assortativity in sympatric speciation and species classification
Joao U. F. Lizarraga, Flavia M. D. Marquitti, Marcus A. M. de Aguiar
We investigate the role of assortative mating in speciation using the sympatric model of Derrida and Higgs. The model explores the idea that genetic differences create incompatibil…
Kuramoto variables as eigenvalues of unitary matrices
Marcel Novaes, Marcus A. M. de Aguiar
We generalize the Kuramoto model by interpreting the variables on the unit circle as eigenvalues of a -dimensional unitary matrix , in three versions: general unitary, sy…
Chaos in undamped, forced oscillators via stroboscopic maps
Ronaldo S. S. Vieira, Luiz H. R. Daniel, Marcus A. M. de Aguiar
Non-linear dynamics is not a usually covered topic in undergraduate physics courses. However, its importance within classical mechanics and the general theory of dynamical systems…
Third order interactions shift the critical coupling in multidimensional Kuramoto models
Ricardo Fariello, Marcus A. M. de Aguiar
The study of higher order interactions in the dynamics of Kuramoto oscillators has been a topic of intense recent research. Arguments based on dimensional reduction using the Ott-A…
Nuclear compensatory evolution driven by mito-nuclear incompatibilities
Débora Princepe, Marcus A. M. de Aguiar
Mitochondrial function relies on the coordinated expression of mitochondrial and nuclear genes, exhibiting remarkable resilience regardless the susceptibility of mitochondrial DNA…
Dynamics of matrix coupled Kuramoto oscillators on modular networks: excitable behavior and global decoherence
Guilherme S. Costa, Marcus A. M. de Aguiar
Synchronization is observed in many natural systems, with examples ranging from neuronal activation to walking pedestrians. The models proposed by Winfree and Kuramoto stand as the…
Order, chaos, and dimensionality transition in a system of swarmalators
Joao U. F. Lizarraga, Kevin P. O'Keeffe, Marcus A. M. de Aguiar
Similar to sperm, where individuals self-organize in space while also striving for coherence in their tail swinging, several natural and engineered systems exhibit the emergence of…
A solvable two-dimensional swarmalator model
Kevin O'Keeffe, Gourab Kumar Sar, Md Sayeed Anwar +3
Swarmalators are oscillators that swarm through space as they synchronize in time. Introduced a few years ago to model many systems which mix synchrony with self-assembly, they rem…
Exploring the phase diagrams of multidimensional Kuramoto models
Ricardo Fariello, Marcus A. M. de Aguiar
The multidimensional Kuramoto model describes the synchronization dynamics of particles moving on the surface of D-dimensional spheres, generalizing the original model where partic…
Intermittent migration can induce pulses of speciation in a two-island system
Débora Princepe, Simone Czarnobai, Rodrigo A. Caetano +3
Geographic barriers prevent migration between populations, thereby facilitating speciation through allopatry. However, these barriers can exhibit dynamic behavior in nature, promot…
On the numerical integration of the multidimensional Kuramoto model
Marcus A. M. de Aguiar
The Kuramoto model, describing the synchronization dynamics of coupled oscillators, has been generalized in many ways over the past years. One recent extension of the model replace…
Sakaguchi Swarmalators
Joao U. F. Lizarraga, Marcus A. M. de Aguiar
Swarmalators are phase oscillators that cluster in space, like fireflies flashing on a swarm to attract mates. Interactions between particles, which tend to synchronize their phase…
Generalized frustration in the multidimensional Kuramoto model
Marcus A. M. de Aguiar
The Kuramoto model was recently extended to arbitrary dimensions by reinterpreting the oscillators as particles moving on the surface of unit spheres in a D-dimensional space. Each…
Matrix coupling and generalized frustration in Kuramoto oscillators
Guilhermo L. Buzanello, Ana Elisa D. Barioni, Marcus A. M. de Aguiar
The Kuramoto model describes the synchronization of coupled oscillators that have different natural frequencies. Among the many generalizations of the original model, Kuramoto and…