Related Experiment Video
Updated: Jun 20, 2026

Optogenetic Entrainment of Hippocampal Theta Oscillations in Behaving Mice
Published on: June 29, 2018
Synchronization in three types of 2-simplicial ring networks with identical and nonidentical oscillators
Xuan Wang1, Haihong Li1,2, Qionglin Dai1,2
1Beijing University of Posts and Telecommunications, School of Physical Science and Technology, Beijing 100876, People's Republic of China.
Abstract:
We explore the synchronization dynamics of Kuramoto oscillators in three 2-simplicial ring networks-node-coupled, edge-coupled, and ring-star-covering both identical and nonidentical systems. Notably, the 2-simplicial ring networks support much richer antiphase fully synchronized states than those in traditional simplicial complex models, with cluster sizes following a universal, finite-size-effect-free Gaussian distribution. Regarding in-phase fully synchronized states, we verify via the cellular dynamics method that they are linearly stable yet practically unreachable from random initial conditions due to their extremely small attraction basins. Under frequency heterogeneity, partial synchronization emerges, where oscillator frequencies cluster into two distinct groups. Among these networks, the ring-star 2-simplicial ring network exhibits the narrowest range of coupling strengths supporting partial synchronization states, while displaying the most significant disparity in cluster sizes. This research highlights the pivotal role of simplicial coupling and ring topology in regulating synchronization, offering new insights into higher-order complex networks.
More Related Videos
Related Concept Videos
Forced Oscillations
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...
Oscillations about an Equilibrium Position
Damped Oscillations
Although friction and other non-conservative...

