176 citations · 722 across the 56 of their papers we have counts for
8 papers · 1 filter
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…