Synchronization of Network-Coupled Oscillators with Uncertain Dynamics

Slowly Coupled Oscillators: Phase Dynamics and Synchronization

In this paper we extend the results of Frankel and Kiemel [SIAM J. Appl. Math, 53 (1993), pp. 1436–1446] to a network of slowly coupled oscillators. First, we use Malkin’s theorem to derive a canonical phase model that describes synchronization properties of a slowly coupled network. Then, we illustrate the result using slowly coupled oscillators (1) near Andronov–Hopf bifurcations, (2) near sa...

Correction to "Scalable Network Synchronization with Pulse-Coupled Oscillators"

Chaotic Synchronization in a Network of Symmetrically Coupled Oscillators

Self-synchronization in a network of two symmetrically coupled chaotic oscillators differing in time scale is studied. The oscillators have a piecewise linear nonlinearity and are coupled via a resistor. For two chaotic oscillations, a definition of the degree of synchronism is suggested on the basis of the coherence function averaged over frequencies. On–off intermittence, which arises with sy...

Synchronization of coupled demographic oscillators

Demographic oscillators are individual-based systems exhibiting temporal cycles sustained by the stochastic dynamics of the microscopic interacting particles. We here use the example of coupled predator-prey oscillators to show that synchronization to a common frequency can occur between two such systems, even if they oscillate at different frequencies in the absence of coupling. The power spec...

Coupled oscillators and biological synchronization.

weight at the end of a string can take any of an infinite number of closed paths through phase space, depending on the height from which it is released. Biological systems (and clock pendulums), in contrast, tend to have not only a characteristic period hut also a characteristic amplitude. They trace a particular path through phase space, and if some perturbation jolts them out of their accusto...