Zobrazeno 1 - 10
of 343
pro vyhledávání: '"Champneys, A. R."'
Autor:
Krause, Andrew L., Klika, Václav, Villar-Sepúveda, Edgardo, Champneys, Alan R., Gaffney, Eamonn A.
Theories of localised pattern formation are important to understand a broad range of natural patterns, but are less well-understood than more established mechanisms of domain-filling pattern formation. Here, we extend recent work on pattern localisat
Externí odkaz:
http://arxiv.org/abs/2409.13043
General conditions are established under which reaction-cross-diffusion systems can undergo spatiotemporal pattern-forming instabilities. Recent work has focused on designing systems theoretically and experimentally to exhibit patterns with specific
Externí odkaz:
http://arxiv.org/abs/2409.06860
Weakly nonlinear amplitude equations are derived for the onset of spatially extended patterns on a general class of $n$-component bulk-surface reaction-diffusion systems in a ball, under the assumption of linear kinetics in the bulk. Linear analysis
Externí odkaz:
http://arxiv.org/abs/2409.06826
A detailed set of experiments are described that capture over a 1000 different instances of the bounce of a golf ball. Video analysis is used to capture velocity and spin immediately prior to and subsequent to each bounce for a wide variety of landin
Externí odkaz:
http://arxiv.org/abs/2302.02758
Inspired by the turf-ball interaction in golf, this paper seeks to understand the bounce of a ball that can be modelled as a rigid sphere and the surface as supplying an elasto-plastic contact force in addition to Coulomb friction. A general formulat
Externí odkaz:
http://arxiv.org/abs/2208.11685
A wide variety of stationary or moving spatially localized structures is present in evolution problems on unbounded domains, governed by higher-than-second-order reversible spatial interactions. This work provides a generic unfolding in one spatial d
Externí odkaz:
http://arxiv.org/abs/2208.04009
Observed bimodal tree cover distributions at particular environmental conditions and theoretical models indicate that some areas in the tropics can be in either of the alternative stable vegetation states forest or savanna. However, when including sp
Externí odkaz:
http://arxiv.org/abs/1803.07535
Autor:
Biber, Stanisław W1 (AUTHOR) s.biber@bristol.ac.uk, Champneys, Alan R1 (AUTHOR), Szalai, Robert1 (AUTHOR)
Publikováno v:
IMA Journal of Applied Mathematics. Jun2023, Vol. 88 Issue 3, p498-523. 26p.
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 2020 May 01. 476(2237), 1-22.
Externí odkaz:
https://www.jstor.org/stable/26979913
Autor:
Champneys, Alan R, Varkonyi, Peter L
The 120-year old so-called Painleve paradox involves the loss of determinism in models of planar rigid bodies in point contact with a rigid surface, subject to Coulomb-like dry friction. The phenomenon occurs due to coupling between normal and rotati
Externí odkaz:
http://arxiv.org/abs/1601.03545