Opinion Dynamics on Networks under Correlated Disordered External Perturbations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-2135-5
Abstract: We study an influence network of voters subjected to correlated disordered external perturbations, and solve the dynamical equations exactly for fully connected networks. The model has a critical phase transition between disordered unimodal and ordered… read more here.
Keywords: disordered external; opinion dynamics; networks correlated; correlated disordered ... See more keywords
Wave dynamics on networks: Method and application to the sine-Gordon equation
Sign Up to like & getrecommendations! Published in 2018 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.03.010
Abstract: We consider a scalar Hamiltonian nonlinear wave equation formulated on networks; this is a non standard problem because these domains are not locally homeomorphic to any subset of the Euclidean space. More precisely, we assume… read more here.
Keywords: sine gordon; gordon equation; wave dynamics; equation ... See more keywords
Attractor Dynamics in Networks with Learning Rules Inferred from In Vivo Data
Sign Up to like & getrecommendations! Published in 2018 at "Neuron"
DOI: 10.1016/j.neuron.2018.05.038
Abstract: The attractor neural network scenario is a popular scenario for memory storage in the association cortex, but there is still a large gap between models based on this scenario and experimental data. We study a… read more here.
Keywords: firing rates; attractor dynamics; attractor; learning rules ... See more keywords
Limits on reconstruction of dynamics in networks.
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review E"
DOI: 10.1103/physreve.98.022318
Abstract: An observability condition number is defined for physical systems modeled by network dynamics. Assuming that the dynamical equations of the network are known and a noisy trajectory is observed at a subset of the nodes,… read more here.
Keywords: limits reconstruction; network; reconstruction dynamics; dynamics networks ... See more keywords
Coarse-Grained Descriptions of Dynamics for Networks with Both Intrinsic and Structural Heterogeneities
Sign Up to like & getrecommendations! Published in 2017 at "Frontiers in Computational Neuroscience"
DOI: 10.3389/fncom.2017.00043
Abstract: Finding accurate reduced descriptions for large, complex, dynamically evolving networks is a crucial enabler to their simulation, analysis, and ultimately design. Here, we propose and illustrate a systematic and powerful approach to obtaining good collective… read more here.
Keywords: network; dynamics networks; descriptions dynamics; coarse grained ... See more keywords
Modelling Bacteria-Inspired Dynamics with Networks of Interacting Chemicals
Sign Up to like & getrecommendations! Published in 2019 at "Life"
DOI: 10.3390/life9030063
Abstract: One approach to understanding how life-like properties emerge involves building synthetic cellular systems that mimic certain dynamical features of living cells such as bacteria. Here, we developed a model of a reaction network in a… read more here.
Keywords: inspired dynamics; interacting chemicals; bacteria inspired; networks interacting ... See more keywords