Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Alastair M Rucklidge"'
Publikováno v:
New Journal of Physics, Vol 25, Iss 12, p 123010 (2023)
Microbial populations generally evolve in volatile environments, under conditions fluctuating between harsh and mild, e.g. as the result of sudden changes in toxin concentration or nutrient abundance. Environmental variability (EV) thus shapes the lo
Externí odkaz:
https://doaj.org/article/810dc5431d1c4bd984416ab85436a8ed
Stability of cycling behaviour near a heteroclinic network model of Rock–Paper–Scissors–Lizard–Spock
Publikováno v:
Nonlinearity. 35:1702-1733
The well-known game of Rock--Paper--Scissors can be used as a simple model of competition between three species. When modelled in continuous time using differential equations, the resulting system contains a heteroclinic cycle between the three equil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0113c9937a96203cec0a9d90c08ad8b
https://doi.org/10.1088/1361-6544/ac3560
https://doi.org/10.1088/1361-6544/ac3560
Publikováno v:
Journal of Fluid Mechanics. 934
Doubly diffusive convection is considered in a vertical slot where horizontal temperature and solutal variations provide competing effects to the fluid density while allowing the existence of a conduction state. In this configuration, the linear stab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac1d8545c31ac9f6a7ca3b8eb8b0ac31
https://doi.org/10.1017/jfm.2021.1121
https://doi.org/10.1017/jfm.2021.1121
We consider a dynamic network of individuals that may hold one of two different opinions in a two-party society. As a dynamical model, agents can endlessly create and delete links to satisfy a preferred degree, and the network is shaped by \emph{homo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f2cc3204984b9c3748203a496e79da8
http://arxiv.org/abs/2106.15963
http://arxiv.org/abs/2106.15963
Publikováno v:
Games, Vol 7, Iss 3, p 24 (2016)
We consider a two-dimensional model of three species in rock-paper-scissors competition and study the self-organisation of the population into fascinating spiraling patterns. Within our individual-based metapopulation formulation, the population comp
Externí odkaz:
https://doaj.org/article/7c43152061fe48f292e4fc3749a765da
Autor:
Alastair M. Rucklidge, Daniel J. Ratliff, Priya Subramanian, Chad M. Topaz, Jennifer K. Castelino
In coupled reaction-diffusion systems, modes with two different length scales can interact to produce a wide variety of spatiotemporal patterns. Three-wave interactions between these modes can explain the occurrence of spatially complex steady patter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52e0a6892eb08d436f101d247577910c
https://doi.org/10.1016/j.physd.2020.132475
https://doi.org/10.1016/j.physd.2020.132475
Heteroclinic-induced spiral waves may arise in systems of partial differential equations that exhibit robust heteroclinic cycles between spatially uniform equilibria. Robust heteroclinic cycles arise naturally in systems with invariant subspaces, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc453c5430610c402e84da80189f7307
In some pattern-forming systems, for some parameter values, patterns form with two wavelengths, while for other parameter values, there is only one wavelength. The transition between these can be organised by a codimension-three point at which the ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9cfd213e25843727c1eecae4c171c3f5
Non-topological defects such as grain boundaries abound in pattern forming systems, arising from local variations of pattern properties such as amplitude, wavelength, orientation, etc. We introduce the idea of treating such non-topological defects as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c52ed841aa7525ec80694e876271495
Publikováno v:
Journal of Statistical Mechanics: Theory and Experiment. 2022:013402
We investigate the long-time properties of a dynamic, out-of-equilibrium network of individuals holding one of two opinions in a population consisting of two communities of different sizes. Here, while the agents' opinions are fixed, they have a pref
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13468b5b860334688454f7dee45a8742
https://doi.org/10.1088/1742-5468/ac410f
https://doi.org/10.1088/1742-5468/ac410f