The time-delay digital tanlock loop (TDTLs) is an important class of phase-locked loop that is widely used in electronic communication systems.
Paul, Bishwajit Banerjee, Tanmoy Sarkar, B. Spatiotemporal Dynamics of a Network of Coupled Time-Delay Digital Tanlock Loops Furthermore, we qualitatively simulate the dynamics of epileptic seizures and study the influence of the removal of nodes on the network synchronizability, which can be useful for applications to epileptic surgery. We analyse the properties of chimeras and partially synchronized states and obtain regions of their stability in the parameter planes. We compare two topologies: an empirical structural neural connectivity derived from diffusion-weighted magnetic resonance imaging and a mathematically constructed network with modular fractal connectivity. We analyse the collective dynamics of FitzHugh-Nagumo neurons in complex networks motivated by its potential application to epileptology and epilepsy surgery. The interplay of synchrony and asynchrony in complex brain networks is an important aspect in studies of both the brain function and disease. modular fractal connectivityĬhouzouris, Teresa Omelchenko, Iryna Zakharova, Anna Hlinka, Jaroslav Jiruska, Premysl Schöll, EckehardĬomplex spatiotemporal patterns, called chimera states, consist of coexisting coherent and incoherent domains and can be observed in networks of coupled oscillators. This exposes the complex nature of fragility in a spatio-temporal system, showing that there is a variety of failure modes when a network is subject to systematic attacks.Ĭhimera states in brain networks: Empirical neural vs. To identify weaknesses specific to the behaviour of a spatio-temporal system, we introduce centrality measures that evaluate the importance of a node as a structural bridge and its role in supporting spatio-temporally efficient flows through the network. We also demonstrate the broader applicability of this framework to three other classes of network.
Through numerical experiments on three real-world urban transport systems, we study the effect of node failure on a network's topological, temporal and spatial structure. We propose a model of spatio-temporal paths in time-varying spatially embedded networks which captures the property that, as in many real-world systems, interaction between nodes is non-instantaneous and governed by the space in which they are embedded. In this paper, we study the response of real-world spatio-temporal networks to random error and systematic attack, taking a unified view of their spatial and temporal performance. Recent advances in spatial and temporal networks have enabled researchers to more-accurately describe many real-world systems such as urban transport networks. Spatio-temporal networks: reachability, centrality and robustness.