Related Experiment Video
Updated: Oct 13, 2025

Optogenetic Entrainment of Hippocampal Theta Oscillations in Behaving Mice
Published on: June 29, 2018
Optimally frequency-synchronized networks of nonidentical Kuramoto oscillators
1Université Côte d'Azur, Institut de Physique de Nice (INPHYNI), Nice, France.
Abstract:
Based on a local greedy numerical algorithm, we compute the topology of weighted, directed, and unlimited extension networks of nonidentical Kuramoto oscillators which simultaneously satisfy two criteria: (i) global frequency synchronization and (ii) minimum total mass of the connection weights. This problem has been the subject of many previous interesting studies; in the present paper, no a priori constraint is imposed, either on the form or on the dynamics of the connections. The results are surprising: the optimal networks turn out to be strongly symmetric, to be very economical, and to display a strong rich club structure, and in addition to the already reported strong correlation between natural frequencies and the weight of incoming connections we also observe a correlation, even more marked, between these same natural frequencies and the weight of outgoing connections. The latter result is at odds with theoretical predictions.
Related Concept Videos
Forced Oscillations
Design Example: Underdamped Parallel RLC Circuit
Starting with a fixed...
Concept of Resonance and its Characteristics
Oscillations In An LC Circuit
RLC Circuit as a Damped Oscillator
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
Damped Oscillations
Although friction and other non-conservative...

