Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions
When describing complex interconnected systems, one often has to go beyond the standard
network description to account for generalized interactions. Here, we establish a unified …
network description to account for generalized interactions. Here, we establish a unified …
Optimizing higher-order network topology for synchronization of coupled phase oscillators
Y Tang, D Shi, L Lü - Communications Physics, 2022 - nature.com
Networks in nature have complex interactions among agents. One significant phenomenon
induced by interactions is synchronization of coupled agents, and the interactive network …
induced by interactions is synchronization of coupled agents, and the interactive network …
Fractal basins as a mechanism for the nimble brain
An interesting feature of the brain is its ability to respond to disparate sensory signals from
the environment in unique ways depending on the environmental context or current brain …
the environment in unique ways depending on the environmental context or current brain …
Stochasticity in the synchronization of strongly coupled spiking oscillators
Synchronization of electrical oscillators is a crucial step toward practical implementation of
oscillator-based and bio-inspired computing. Here, we report the emergence of an unusual …
oscillator-based and bio-inspired computing. Here, we report the emergence of an unusual …
Self-induced-stochastic-resonance breathing chimeras
J Zhu, ME Yamakou - Physical Review E, 2023 - APS
The study by Semenova et al.[Phys. Rev. Lett. 117, 014102 (2016) 0031-9007
10.1103/PhysRevLett. 117.014102] discovered a type of chimera state known as coherence …
10.1103/PhysRevLett. 117.014102] discovered a type of chimera state known as coherence …
Deeper but smaller: Higher-order interactions increase linear stability but shrink basins
A key challenge of nonlinear dynamics and network science is to understand how higher-
order interactions influence collective dynamics. Although many studies have approached …
order interactions influence collective dynamics. Although many studies have approached …
Basins with tentacles
Y Zhang, SH Strogatz - Physical Review Letters, 2021 - APS
To explore basin geometry in high-dimensional dynamical systems, we consider a ring of
identical Kuramoto oscillators. Many attractors coexist in this system; each is a twisted …
identical Kuramoto oscillators. Many attractors coexist in this system; each is a twisted …
Multistability and anomalies in oscillator models of lossy power grids
The analysis of dissipatively coupled oscillators is challenging and highly relevant in power
grids. Standard mathematical methods are not applicable, due to the lack of network …
grids. Standard mathematical methods are not applicable, due to the lack of network …
Time-series-analysis-based detection of critical transitions in real-world non-autonomous systems
K Lehnertz - Chaos: An Interdisciplinary Journal of Nonlinear …, 2024 - pubs.aip.org
Real-world non-autonomous systems are open, out-of-equilibrium systems that evolve in
and are driven by temporally varying environments. Such systems can show multiple …
and are driven by temporally varying environments. Such systems can show multiple …