Synchronization engineering: tuning the phase relationship between dissimilar oscillators using nonlinear feedback.

Phase Tuning in Synchronization of Nonlinear Master-slave Oscillating Systems Using Decomposition Method

A Framework for Engineering the Collective Behavior of Complex Rhythmic Systems.

We have developed an engineering framework which utilizes experiment-based phase models to tune complex dynamic structures to desired states; weak, non-destructive signals are employed to alter interactions among nonlinear rhythmic elements. In this manuscript we present an integrated overview and discussion of our recent studies in this area. Experiments on electrochemical reactions were condu...

Engineering of synchronization and clustering of a population of chaotic chemical oscillators.

Description, control, and design of weakly interacting dynamical units are challenging tasks that play a central role in many physical, chemical, and biological systems. Control of temporal and spatial variations of reaction rates is especially daunting when the dynamical units exhibit deterministic chaotic oscillations that are sensitive to initial conditions and are long-term unpredictable. C...

Analysis of Oscillation Amplitude and Phase Error in Multiphase LC Oscillators

Abstract   This work proposes a novel method to find the phase error and oscillation amplitude in multiphase LC oscillators. A mathematical approach is used to find the relationship between every stage's output phase and its coupling factor. To much more general analysis, every stage assumed to have a different coupling factor. The mismatches in LC tanks are considered as the main source of pha...

Antiphase synchronization of phase-reduced oscillators using open-loop control.

In this report we present an elegant method to build and maintain an antiphase configuration of two nonlinear oscillators with different natural frequencies and dynamics described by the sinusoidal phase-reduced model. The antiphase synchronization is achieved using a common input that couples the oscillators and consists of a sequence of square pulses of appropriate amplitude and duration. Thi...