Neural heterogeneity controls computations in spiking neural networks

R Gast, SA Solla, A Kennedy - Proceedings of the National …, 2024 - National Acad Sciences
The brain is composed of complex networks of interacting neurons that express
considerable heterogeneity in their physiology and spiking characteristics. How does this …

Data-driven discovery and extrapolation of parameterized pattern-forming dynamics

ZG Nicolaou, G Huo, Y Chen, SL Brunton, JN Kutz - Physical Review Research, 2023 - APS
Pattern-forming systems can exhibit a diverse array of complex behaviors as external
parameters are varied, enabling a variety of useful functions in biological and engineered …

Emergent microrobotic oscillators via asymmetry-induced order

JF Yang, TA Berrueta, AM Brooks, AT Liu… - Nature …, 2022 - nature.com
Spontaneous oscillations on the order of several hertz are the drivers of many crucial
processes in nature. From bacterial swimming to mammal gaits, converting static energy …

Complex localization mechanisms in networks of coupled oscillators: Two case studies

ZG Nicolaou, JJ Bramburger - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
Localized phenomena abound in nature and throughout the physical sciences. Some
universal mechanisms for localization have been characterized, such as in the snaking …

Heterogeneity extends criticality

F Sánchez-Puig, O Zapata, OK Pineda… - arxiv preprint arxiv …, 2022 - arxiv.org
Criticality has been proposed as a mechanism for the emergence of complexity, life, and
computation, as it exhibits a balance between robustness and adaptability. In classic models …

Drifting Faraday patterns under localised driving

JF Marín, R Riveros-Ávila, S Coulibaly, M Taki… - Communications …, 2023 - nature.com
Physical systems undergoing spontaneous pattern formation are governed by intrinsic
length scales that may compete with extrinsic ones, resulting in exceptional spatiotemporal …

Uncovering the Origins of Instability in Dynamical Systems: How Can the Attention Mechanism Help?

N Bahador, M Lankarany - Dynamics, 2023 - mdpi.com
The behavior of the network and its stability are governed by both dynamics of the individual
nodes, as well as their topological interconnections. The attention mechanism as an integral …

Heterogeneity extends criticality

F Sánchez-Puig, O Zapata, OK Pineda… - Frontiers in Complex …, 2023 - frontiersin.org
Criticality has been proposed as a mechanism for the emergence of complexity, life, and
computation, as it exhibits a balance between order and chaos. In classic models of complex …

Synchronization and amplification enabled by diversity in nonlinear optical systems and the analogy with converse symmetry breaking for coupled oscillators

AM Perego - Physical Review A, 2022 - APS
In this Research Letter it is shown how certain optical wave amplification phenomena, which
do not obey standard phase-matching conditions and are generally classified as non …

Asymmetric space-dependent systems: partial stabilization through the addition of noise and exact solutions for the corresponding nonlinear Langevin equations

KS Fa, CL Ho, YB Matos, MGE da Luz - Physica Scripta, 2023 - iopscience.iop.org
In many instances, the dynamical richness and complexity observed in natural phenomena
can be related to stochastic drives influencing their temporal evolution. For example, random …