Zobrazeno 1 - 10
of 95
pro vyhledávání: '"J B, Lloyd"'
Publikováno v:
Nonlinearity. 36:2567-2630
Fully localised patterns involving cellular hexagons or squares have been found experimentally and numerically in various continuum models. However, there is currently no mathematical theory for the emergence of these localised cellular patterns from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6223514d4d1778e777eb431bda757dbf
https://doi.org/10.1088/1361-6544/acc508
https://doi.org/10.1088/1361-6544/acc508
Publikováno v:
SSRN Electronic Journal.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f7f9fda43e0a51b4c755125fd5c352d
https://doi.org/10.2139/ssrn.4136300
https://doi.org/10.2139/ssrn.4136300
Publikováno v:
Journal of Nonlinear Science. 31
This paper investigates the existence of localised axisymmetric (radial) patterns on the surface of a ferrofluid in the presence of a uniform vertical magnetic field. We formally investigate all possible small-amplitude solutions which remain bounded
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::531ecdb8ca8b2c3d58551dae20b4c9cf
https://doi.org/10.1007/s00332-021-09719-z
https://doi.org/10.1007/s00332-021-09719-z
Publikováno v:
PLoS ONE, Vol 9, Iss 1, p e83477 (2014)
Knowledge of how a population of cancerous cells progress through the cell cycle is vital if the population is to be treated effectively, as treatment outcome is dependent on the phase distributions of the population. Estimates on the phase distribut
Externí odkaz:
https://doaj.org/article/7319b14310024093beea4b4e4c406639
Autor:
Alexandra S Penn, Christopher J K Knight, David J B Lloyd, Daniele Avitabile, Kasper Kok, Frank Schiller, Amy Woodward, Angela Druckman, Lauren Basson
Publikováno v:
PLoS ONE, Vol 8, Iss 11, p e78319 (2013)
Fuzzy Cognitive Mapping (FCM) is a widely used participatory modelling methodology in which stakeholders collaboratively develop a 'cognitive map' (a weighted, directed graph), representing the perceived causal structure of their system. This can be
Externí odkaz:
https://doaj.org/article/f8e21ab29db446e6a159d5adbc61e7ad
Publikováno v:
Physical Review E. 102
Many complex systems occurring in the natural or social sciences or economics are frequently described on a microscopic level, e.g., by lattice- or agent-based models. To analyze the states of such systems and their bifurcation structure on the level
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d548071c596b84fc2ee19498cdfe139c
https://doi.org/10.1103/physreve.102.032210
https://doi.org/10.1103/physreve.102.032210
The primary focus is a sequential data assimilation method for count data modelled by an inhomogeneous Poisson process. In particular, a quadratic approximation technique similar to the extended Kalman filter is applied to develop a sub-optimal, disc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e81d4a2c7d083d3d59ca68afe15d555
https://surrey.eprints-hosting.org/852926/
https://surrey.eprints-hosting.org/852926/
Publikováno v:
PLoS ONE, Vol 7, Iss 6, p e38597 (2012)
Tumours that are low in oxygen (hypoxic) tend to be more aggressive and respond less well to treatment. Knowing the spatial distribution of oxygen within a tumour could therefore play an important role in treatment planning, enabling treatment to be
Externí odkaz:
https://doaj.org/article/163bb7c75e7b484cb1dede24e154b02d
Autor:
David J. B. Lloyd, Arnd Scheel
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 16:252-293
We study grain boundaries between striped phases in the prototypical Swift-Hohenberg equation. We propose an analytical and numerical far-field-core decomposition that allows us to study existence and bifurcations of grain boundaries analytically and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30474a02cfd4357a9e159622865361aa
https://doi.org/10.1137/16m1073212
https://doi.org/10.1137/16m1073212
Autor:
David J. B. Lloyd
In this paper, we carry out numerical bifurcation analysis of depinning of fronts near the homoclinic snaking region, involving a spatial stripe cellular pattern embedded in a quiescent state, in the two-dimensional Swift-Hohenberg equation with eith
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4013947c84215b4af1063d3dbb8e153a