Related Experiment Video
Updated: Jun 5, 2026

Optogenetic Entrainment of Hippocampal Theta Oscillations in Behaving Mice
Published on: June 29, 2018
Synchronization of an ensemble of oscillators regulated by their spatial movement
Sumantra Sarkar1, P Parmananda
1Department of Physics, Indian Institute of Technology, Bombay, Powai, Mumbai-400 076, India.
Abstract:
Synchronization for a collection of oscillators residing in a finite two dimensional plane is explored. The coupling between any two oscillators in this array is unidirectional, viz., master-slave configuration. Initially the oscillators are distributed randomly in space and their autonomous time-periods follow a Gaussian distribution. The duty cycles of these oscillators, which work under an on-off scenario, are normally distributed as well. It is realized that random hopping of oscillators is a necessary condition for observing global synchronization in this ensemble of oscillators. Global synchronization in the context of the present work is defined as the state in which all the oscillators are rendered identical. Furthermore, there exists an optimal amplitude of random hopping for which the attainment of this global synchronization is the fastest. The present work is deemed to be of relevance to the synchronization phenomena exhibited by pulse coupled oscillators such as a collection of fireflies.
Related Concept Videos
Forced Oscillations
Oscillations about an Equilibrium Position
Simple Harmonic Motion
Damped Oscillations
Although friction and other non-conservative...
Oscillations In An LC Circuit
Concept of Resonance and its Characteristics
