Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions

Y Zhang, V Latora, AE Motter - Communications Physics, 2021 - nature.com
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 …

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 …

Fractal basins as a mechanism for the nimble brain

E Bollt, J Fish, A Kumar, E Roque dos Santos… - Scientific Reports, 2023 - nature.com
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 …

Stochasticity in the synchronization of strongly coupled spiking oscillators

E Qiu, P Salev, L Fratino, R Rocco, H Navarro… - Applied Physics …, 2023 - pubs.aip.org
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 …

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 …

Deeper but smaller: Higher-order interactions increase linear stability but shrink basins

Y Zhang, PS Skardal, F Battiston, G Petri, M Lucas - Science Advances, 2024 - science.org
A key challenge of nonlinear dynamics and network science is to understand how higher-
order interactions influence collective dynamics. Although many studies have approached …

Mechanism for strong chimeras

Y Zhang, AE Motter - Physical review letters, 2021 - APS
Chimera states have attracted significant attention as symmetry-broken states exhibiting the
unexpected coexistence of coherence and incoherence. Despite the valuable insights …

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 …

Multistability and anomalies in oscillator models of lossy power grids

R Delabays, S Jafarpour, F Bullo - Nature communications, 2022 - nature.com
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 …

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 …