53 citations · 64 across the 12 of their papers we have counts for
12 papers
Dynamic trajectory control of gliders
Rui Dilão, João Fonseca
A new dynamic control algorithm in order to direct the trajectory of a glider to a pre-assigned target point is proposed. The algorithms runs iteratively and the approach to the ta…
Emergent thresholds in genetic regulatory networks: Protein patterning in Drosophila morphogenesis
Rui Dilão, Daniele Muraro
We present a general methodology in order to build mathematical models of genetic regulatory networks. This approach is based on the mass action law and on the Jacob and Monod oper…
mRNA diffusion explains protein gradients in \textit{Drosophila} early development
Rui Dilão, Daniele Muraro
We propose a new model describing the production and the establishment of the stable gradient of the Bicoid protein along the antero-posterior axis of the embryo of \textit{Drosoph…
On the problem of synchronization of identical dynamical systems: The Huygens's clocks
Rui Dilao
In 1665, Christiaan Huygens reported the observation of the synchronization of two pendulum clocks hanged on the wall of his workshop. After synchronization, the clocks swung exact…
Synchronizing Huygens's clocks
Rui Dilao
We introduce an interaction mechanism between oscillators leading to exact anti-phase and in-phase synchronization. This mechanism is applied to the coupling between two nonlinear…
Chaos in the Stormer problem
Rui Dilao, Rui Alves-Pires
We survey the few exact results on the Stormer problem describing the dynamics of charged particles in the Earth magnetosphere. The analysis of this system leads to the the conclus…