85 citations · 232 across the 9 of their papers we have counts for
9 papers
Separatrix crossing due to multiplicative colored noise
Jean-Régis Angilella
The effect of weak multiplicative colored noise on the dynamics of a Hamiltonian system is studied by means of asymptotic methods, in the vicinity of homoclinic or heteroclinic tra…
Spontaneous oscillations and negative-conductance transitions in microfluidic networks
Daniel J. Case, Jean-Regis Angilella, Adilson E. Motter
The tendency for flows in microfluidic systems to behave linearly poses a challenge for designing integrated flow control schemes to carry out complex fluid processing tasks. This…
Braess's paradox and programmable behaviour in microfluidic networks
Daniel J. Case, Yifan Liu, Istvan Z. Kiss +2
Microfluidic systems are now being designed with precision to execute increasingly complex tasks. However, their operation often requires numerous external control devices due to t…
Probability of noise-induced separatrix crossing for inertial particles in flows
Jean-Régis Angilella
The motion of weakly inertial Brownian particles, transported by steady two-dimensional fluid flows, is investigated by means of asymptotic methods. We focus on the phenomenon of n…
The effect of colored noise on heteroclinic orbits
Jean-Régis Angilella
The dynamics of a weakly dissipative Hamiltonian system submitted to stochastic perturbations has been investigated by means of asymptotic methods. The probability of noise-induced…
Levitation of heavy particles against gravity in asymptotically downward flows
Jean-Regis Angilella, Daniel J. Case, Adilson E. Motter
In the fluid transport of particles, it is generally expected that heavy particles carried by a laminar fluid flow moving downward will also move downward. We establish a theory to…