Stochastic sensitivity analysis of stationary patterns in spatially extended systems
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6892
Abstract: In this paper, a spatially extended stochastic reaction–diffusion model is studied. Due to Turing instability, stable nonhomogeneous stationary patterns are generated in such models. A theoretical approach to estimating the mean‐square deviation of random solutions… read more here.
Keywords: spatially extended; stationary patterns; stochastic sensitivity; analysis stationary ... See more keywords
Mean field limits for nonlinear spatially extended Hawkes processes with exponential memory kernels
Sign Up to like & getrecommendations! Published in 2019 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2018.02.007
Abstract: We consider spatially extended systems of interacting nonlinear Hawkes processes modeling large systems of neurons placed in Rd and study the associated mean field limits. As the total number of neurons tends to infinity, we… read more here.
Keywords: spatially extended; limits nonlinear; field; field limits ... See more keywords
Fluctuations for spatially extended Hawkes processes
Sign Up to like & getrecommendations! Published in 2020 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2020.03.015
Abstract: In a previous paper, it has been shown that the mean-field limit of spatially extended Hawkes processes is characterized as the unique solution $u(t,x)$ of a neural field equation (NFE). The value $u(t,x)$ represents the… read more here.
Keywords: spatially extended; extended hawkes; field; result ... See more keywords
State space reconstruction of spatially extended systems and of time delayed systems from the time series of a scalar variable.
Sign Up to like & getrecommendations! Published in 2018 at "Chaos"
DOI: 10.1063/1.5023485
Abstract: The space-time representation of high-dimensional dynamical systems that have a well defined characteristic time scale has proven to be very useful to deepen the understanding of such systems and to uncover hidden features in their… read more here.
Keywords: spatially extended; space; extended systems; time delayed ... See more keywords
Spatially extended hybrid methods: a review
Sign Up to like & getrecommendations! Published in 2018 at "Journal of the Royal Society Interface"
DOI: 10.1098/rsif.2017.0931
Abstract: Many biological and physical systems exhibit behaviour at multiple spatial, temporal or population scales. Multiscale processes provide challenges when they are to be simulated using numerical techniques. While coarser methods such as partial differential equations… read more here.
Keywords: extended hybrid; spatially extended; chemistry; hybrid methods ... See more keywords
Balanced gain and loss in spatially extended non- PT -symmetric multiwell potentials
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.100.063639
Abstract: The experimental realization of balanced gain and loss in a quantum system has been a long standing goal in quantum mechanics since the introduction of the concept of $\mathcal{PT}$ symmetry and has only recently been… read more here.
Keywords: spatially extended; loss; balanced gain; gain loss ... See more keywords
Emergent spatiotemporal instabilities in reactive spatially extended systems by thermodiffusion.
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review E"
DOI: 10.1103/physreve.100.042217
Abstract: Thermodiffusion or thermophoresis or Soret effect, i.e., mass-transport induced by thermal gradient, has immense application in segregation of species in two or multicomponent gaseous, liquid, or colloidal mixtures. Here, we show that an external thermal… read more here.
Keywords: spatially extended; extended systems; thermodiffusion; spatiotemporal instabilities ... See more keywords
Spatially extended radiant heat fire model.
Sign Up to like & getrecommendations! Published in 2023 at "Physical review. E"
DOI: 10.1103/physreve.107.034133
Abstract: Recent wildfire prevalence and destruction have led to new initiatives in the search for better land management techniques and prescriptions for controlled burns. With limited data on low-intensity prescribed burns, finding models that can represent… read more here.
Keywords: fire; fire behavior; model; spatially extended ... See more keywords
Spatially extended dislocations produced by the dispersive Swift-Hohenberg equation.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.107.044214
Abstract: Motivated by previous results showing that the addition of a linear dispersive term to the two-dimensional Kuramoto-Sivashinsky equation has a dramatic effect on the pattern formation, we study the Swift-Hohenberg equation with an added linear dispersive term,… read more here.
Keywords: equation; hohenberg equation; dispersive swift; swift hohenberg ... See more keywords
Phase Transition to Turbulence in Spatially Extended Shear Flows
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review Letters"
DOI: 10.1103/physrevlett.128.014502
Abstract: Lukasz Klotz, 2 Grégoire Lemoult, Kerstin Avila, 5 and Björn Hof ∗ Institute of Science and Technology Austria, Am Campus 1, 3400 Klosterneuburg, Austria Institute of Aeronautics and Applied Mechanics, Warsaw University of Technology, Nowowiejska… read more here.
Keywords: spatially extended; turbulence spatially; extended shear; phase transition ... See more keywords
Asymptotic limit of a spatially-extended mean-field FitzHugh–Nagumo model
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Models and Methods in Applied Sciences"
DOI: 10.1142/s0218202520500207
Abstract: We consider a spatially extended mean-field model of a FitzHugh–Nagumo neural network, with a rescaled interaction kernel. Our main purpose is to prove that its asymptotic limit in the regime of st... read more here.
Keywords: spatially extended; asymptotic limit; extended mean; mean field ... See more keywords