Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Claire M Postlethwaite"'
Autor:
Claire M Postlethwaite, Todd E Dennis
Publikováno v:
PLoS ONE, Vol 8, Iss 5, p e57640 (2013)
Recently, there has been much interest in describing the behaviour of animals by fitting various movement models to tracking data. Despite this interest, little is known about how the temporal 'grain' of movement trajectories affects the outputs of s
Externí odkaz:
https://doaj.org/article/b72c56b8290a46ff87c552f6dbd589fc
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:
SIAM Journal on Applied Dynamical Systems. 19:366-411
Center manifold reduction is a standard technique in bifurcation theory, reducing the essential features of local bifurcations to equations in a small number of variables corresponding to critical ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25efbfc97ab9012ccf6bb86549608a0d
https://doi.org/10.1137/18m1230736
https://doi.org/10.1137/18m1230736
Publikováno v:
Artificial Life. 25:315-333
Engineers, control theorists, and neuroscientists often view the delay imposed by finite signal propagation velocities as a problem that needs to be compensated for or avoided. In this article, we consider the alternative possibility that in some cas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94a5297f9f950248fbe6ee672e58b233
https://doi.org/10.1162/artl_a_00299
https://doi.org/10.1162/artl_a_00299
Publikováno v:
Journal of Mathematical Neuroscience
Journal of Mathematical Neuroscience, Vol 11, Iss 1, Pp 1-25 (2021)
Journal of Mathematical Neuroscience, Vol 11, Iss 1, Pp 1-25 (2021)
The brain is intrinsically organized into large-scale networks that constantly re-organize on multiple timescales, even when the brain is at rest. The timing of these dynamics is crucial for sensation, perception, cognition, and ultimately consciousn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8af058ff42f8d7ee22e725982ff1ff6
http://europepmc.org/articles/PMC7782644
http://europepmc.org/articles/PMC7782644
Autor:
Claire M. Postlethwaite, Rob Sturman
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science. 32:063104
Networks of interacting nodes connected by edges arise in almost every branch of scientific inquiry. The connectivity structure of the network can force the existence of invariant subspaces, which would not arise in generic dynamical systems. These i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13ecd623272db21a62aed35d983d753d
https://doi.org/10.1063/5.0088856
https://doi.org/10.1063/5.0088856
Autor:
Peter Ashwin, Claire M. Postlethwaite
Publikováno v:
Biological Cybernetics
Continuous time recurrent neural networks (CTRNN) are systems of coupled ordinary differential equations that are simple enough to be insightful for describing learning and computation, from both biological and machine learning viewpoints. We describ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e6b314fe1e9e6d6d207a85cd481c5c7
http://arxiv.org/abs/2012.04129
http://arxiv.org/abs/2012.04129
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
Publikováno v:
The 2020 Conference on Artificial Life.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6965b3d4333b11c6861655bb06fe9211
https://doi.org/10.1162/isal_a_00332
https://doi.org/10.1162/isal_a_00332
Autor:
Peter Ashwin, Claire M. Postlethwaite
Publikováno v:
Biological Cybernetics. 116:117-117
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a8008be1d185cc76658dbf830c3bd92
https://doi.org/10.1007/s00422-021-00911-8
https://doi.org/10.1007/s00422-021-00911-8