Fireflies, as one of the most spectacular examples of synchronization in nature, have been investigated widely. In 1990, Mirollo and Strogatz proposed a pulse-coupled oscillator model to explain the synchronization of South East Asian fireflies (Pteroptyx malaccae). However, transmission delays were not considered in their model. In fact, when transmission delays are introduced, the dynamic behaviors of pulse-coupled networks change a lot. In this paper, pulse-coupled oscillator networks with delayed excitatory coupling are studied. A concept of synchronization, named weak asymptotic synchronization, which is weaker than asymptotic synchronization, is proposed. We prove that for pulse-coupled oscillator networks with delayed excitatory coupling, weak asymptotic synchronization cannot occur.
We consider a non-autonomous dynamical system formed by coupling two
Piecewise-smooth systems in $\RR^2$ through a non-autonomous periodic
Perturbation. We study the dynamics around one of the heteroclinic orbits of
One of the piecewise-smooth systems. In the unperturbed case, the system
We consider the dynamics of a piecewise affine system of degrade-and-fire oscillators with global repressive interaction, inspired by experiments on synchronization in colonies of bacteria-embedded genetic circuits. Due to global coupling, if any two oscillators happen to be in the same state at som...
We consider the problem of network coding across three unicast sessions over
A directed acyclic graph. We consider a SISO scenario, in the sense that each
Source and receiver is connected to the network through a single edge. We adapt
A precoding-based interference alignment technique, originally de...
Pubget Updates sends you emails when Pubget finds new papers that match your search. Use Pubget Updates to get the latest articles for your specialty, written by a colleague, or published by your favorite journals.