Zobrazeno 1 - 10
of 105
pro vyhledávání: '"J. W. Simpson"'
Autor:
P. A. Glendinning, D. J. W. Simpson
Publikováno v:
Glendinning, P A & Simpson, D 2022, ' Normal forms for saddle-node bifurcations: Takens’ coefficient and applications in climate models ', Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 478, no. 2267, 20220548 . https://doi.org/10.1098/rspa.2022.0548
We show that a one-dimensional differential equation depending on a parameter μ with a saddle-node bifurcation at μ = 0 can be modelled by an extended normal form y ˙ = ν ( μ ) − y 2 + a ( μ ) y 3 , where the functions ν and a are solutions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c464c3f8550c64649f23799fb70261f1
https://research.manchester.ac.uk/en/publications/b38eaede-48a9-4b19-90af-bf6a2598a2dc
https://research.manchester.ac.uk/en/publications/b38eaede-48a9-4b19-90af-bf6a2598a2dc
Autor:
Irina V. Khilyas, Anatoly A. Sorokin, Larisa Kiseleva, David J. W. Simpson, V. Fedorovich, Margarita R. Sharipova, Mami Kainuma, Michael F. Cohen, Igor Goryanin
Publikováno v:
Scientifica, Vol 2017 (2017)
Bioelectrochemical systems such as microbial fuel cells (MFCs) are promising new technologies for efficient removal of organic compounds from industrial wastewaters, including that generated from swine farming. We inoculated two pairs of laboratory-s
Externí odkaz:
https://doaj.org/article/038ceaedb49a4b4fa9e45242f3a686a0
Publikováno v:
Glendinning, P A & Simpson, D J W 2023, ' Normal Forms, Differentiable Conjugacies, and Elementary Bifurcations of Maps ', SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 83, no. 2, pp. 816-836 . https://doi.org/10.1137/22M1503701
We strengthen the standard bifurcation theorems for saddle-node, transcritical, pitchfork, and period-doubling bifurcations of maps. Our new formulation involves adding one or two extra terms to the standard truncated normal forms with coefficients d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce94ac6748585f208b8cf568af1a6001
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science. 33:010402
Non-smooth dynamics induced by switches, impacts, sliding, and other abrupt changes are pervasive in physics, biology, and engineering. Yet, systems with non-smooth dynamics have historically received far less attention compared to their smooth count
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9044bdac3a59cfa1ca8aa3adc5353099
https://doi.org/10.1063/5.0138169
https://doi.org/10.1063/5.0138169
Autor:
I. Ghosh, D. J. W. Simpson
The collection of all non-degenerate, continuous, two-piece, piecewise-linear maps on [Formula: see text] can be reduced to a four-parameter family known as the two-dimensional border-collision normal form. We prove that throughout an open region of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b528075e2052bad09e2993d29a96dd1
http://arxiv.org/abs/2111.12893
http://arxiv.org/abs/2111.12893
Publikováno v:
Bulletin of mathematical biology. 84(8)
Spatiotemporal patterns are common in biological systems. For electrically coupled cells, previous studies of pattern formation have mainly used applied current as the primary bifurcation parameter. The purpose of this paper is to show that applied c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e1370d9e6f6ecf647b3ee427b458e1f
https://pubmed.ncbi.nlm.nih.gov/35804271
https://pubmed.ncbi.nlm.nih.gov/35804271
Autor:
Indranil Ghosh, David J. W. Simpson
All nondegenerate, continuous, piecewise-linear maps on [Formula: see text] with two pieces are equivalent to a member of a four-parameter family of maps known as the two-dimensional border-collision normal form. This paper shows how the powerful tec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::836f3eb409d48f2c3c00ddb0ce9ff66b
http://arxiv.org/abs/2109.09242
http://arxiv.org/abs/2109.09242
Autor:
Paul Glendinning, David J. W. Simpson
Publikováno v:
Glendinning, P A & Simpson, D J W 2021, ' A constructive approach to robust chaos using invariant manifolds and expanding cones ', Discrete & Continuous Dynamical Systems, vol. 41, no. 7, pp. 3367-3387 . https://doi.org/10.3934/dcds.2020409
Chaotic attractors in the two-dimensional border-collision normal form (a piecewise-linear map) can persist throughout open regions of parameter space. Such robust chaos has been established rigorously in some parameter regimes. Here we provide forma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::102ff09a705d26dd751a41e6df19d42e
https://pure.manchester.ac.uk/ws/files/196834289/InvariantExpandingSector_v9revised.pdf
https://pure.manchester.ac.uk/ws/files/196834289/InvariantExpandingSector_v9revised.pdf
Autor:
David J. W. Simpson
Publikováno v:
Journal of Differential Equations. 267:6133-6151
This paper concerns two-dimensional Filippov systems — ordinary differential equations that are discontinuous on one-dimensional switching manifolds. In the situation that a stable focus transitions to an unstable focus by colliding with a switchin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0000e751cc3eea8cd4eb4def6de9a1fd
https://doi.org/10.1016/j.jde.2019.06.016
https://doi.org/10.1016/j.jde.2019.06.016
Autor:
James Williams, Alan Williams, Sibylle van Hove, David J. W. Simpson, Daniel Clarke, Emma Greenbank, Celia Kueh, Melanie E. Roberts
Publikováno v:
ANZIAM Journal. 59:M30-M62
Fisher & Paykel Appliances is a major New Zealand appliance manufacturing company who, amongst other products, develops front- loading washing machines. Their development teams are committed to improving the machine performance. Machine performance i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce109a109fda46b6ce443a2fd4d7ac47
https://doi.org/10.21914/anziamj.v59i0.13473
https://doi.org/10.21914/anziamj.v59i0.13473