A review and guidance for pattern selection in spatiotemporal system

C Wang, J Ma - International Journal of Modern Physics B, 2018 - World Scientific
Pattern estimation and selection in media can give important clues to understand the
collective response to external stimulus by detecting the observable variables. Both reaction …

Transition and coexistence of Turing pattern, Turing-like pattern and spiral waves in a discrete-time predator–prey model

H Zhang, J Gao, C Gu, C Shen, H Yang - Chaos, Solitons & Fractals, 2024 - Elsevier
Turing patterns and spiral waves, which are spatiotemporal ordered structures, are a
common occurrence in complex systems, manifesting in a variety of forms. Investigations on …

Composite spiral waves in discrete-time systems

X Wang, J Gao, C Gu, D Wu, X Liu, C Shen - Physical Review E, 2023 - APS
Spiral waves are a type of typical pattern in open reaction-diffusion systems far from
thermodynamic equilibrium. The study of spiral waves has attracted great interest because …

Reconstruction of dynamic networks with time-delayed interactions in the presence of fast-varying noises

Z Zhang, Y Chen, Y Mi, G Hu - Physical Review E, 2019 - APS
Most complex social, biological and technological systems can be described by dynamic
networks. Reconstructing network structures from measurable data is a fundamental …

Building blocks of self-sustained activity in a simple deterministic model of excitable neural networks

GC Garcia, A Lesne, MT Hütt… - Frontiers in computational …, 2012 - frontiersin.org
Understanding the interplay of topology and dynamics of excitable neural networks is one of
the major challenges in computational neuroscience. Here we employ a simple deterministic …

An introduction to emergence dynamics in complex systems

Z Zheng - Frontiers and Progress of Current Soft Matter Research, 2021 - Springer
Emergence is one of the most essential features of complex systems. This property implies
new collective behaviors due to the interaction and self-organization among elements in the …

Spatiotemporal dynamics in excitable homogeneous random networks composed of periodically self-sustained oscillation

Y Qian, F Liu, K Yang, G Zhang, C Yao, J Ma - Scientific Reports, 2017 - nature.com
The collective behaviors of networks are often dependent on the network connections and
bifurcation parameters, also the local kinetics plays an important role in contributing the …

A statistical analysis method for probability distributions in Erdös–Rényi random networks with preferential cutting–rewiring operation

Y Qian, J Cao, J Han, S Zhang, W Chen… - Frontiers in Network …, 2024 - frontiersin.org
The study of specific physiological processes from the perspective of network physiology
has gained recent attention. Modeling the global information integration among the …

Winfree loop sustained oscillation in two-dimensional excitable lattices: prediction and realization

Y Qian, G Zhang, Y Wang, C Yao… - Chaos: An Interdisciplinary …, 2019 - pubs.aip.org
The problem of self-sustained oscillations in excitable complex networks is the central issue
under investigation, among which the prediction and the realization of self-sustained …

The optimal oscillation mode in excitable small-world networks

Y Qian, C Zhang, Z Wei, F Liu, C Yao… - Europhysics …, 2020 - iopscience.iop.org
The problem of oscillation mode recognition is one of the most important issues under
investigation in the field of biological systems. In this paper, we have systematically …