Peter Ashwin

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Sebastian WieczorekUniversity College CorkVerified email at ucc.ie
matthew nicolUniversity of HoustonVerified email at math.uh.edu
Christian BickVrije Universiteit AmsterdamVerified email at vu.nl
Anna von der HeydtAssociate Professor, Utrecht UniversityVerified email at uu.nl
John TerryInterdisciplinary Professorial Fellow, University of BirminghamVerified email at bham.ac.uk
Claire PostlethwaiteUniversity of AucklandVerified email at auckland.ac.nz
Ana RodriguesDepartamento de Matematica, Universidade de EvoraVerified email at uevora.pt
Michael FieldUC Santa BarbaraVerified email at imperial.ac.uk
Peter DitlevsenNiels Bohr InstituteVerified email at nbi.ku.dk
Krasimira Tsaneva-AtanasovaProfessor of Mathematics for Healthcare, University of ExeterVerified email at exeter.ac.uk
Gábor OroszMechanical Engineering, University of Michigan, Ann ArborVerified email at umich.edu
Eurico CovasResearcher in AI, Finance and Astrophysics & Collaborator, Instituto de Astrofisica, PortugalVerified email at thesharerepublic.com
Alastair RucklidgeProfessor of Applied Mathematics, University of LeedsVerified email at leeds.ac.uk
Rob SturmanUniversity of LeedsVerified email at maths.leeds.ac.uk
Stuart TownleyProfessor of Applied Mathematics, University of ExeterVerified email at exeter.ac.uk
Stephen CoombesUniversity of NottinghamVerified email at nottingham.ac.uk
Jorge Alberto Vazquez DiosdadoUniversity of NottinghamVerified email at nottingham.ac.uk
Yuri MaistrenkoInstitute of Mathematics and Technical Center, NAS of UkraineVerified email at biomed.kiev.ua

Peter Ashwin

Professor of Mathematics, University of Exeter

Verified email at ex.ac.uk

Dynamical systems


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Bubbling of attractors and synchronisation of chaotic oscillators P Ashwin, J Buescu, I Stewart Physics Letters A 193 (2), 126-139, 1994	671	1994
Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system P Ashwin, S Wieczorek, R Vitolo, P Cox Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2012	530	2012
From attractor to chaotic saddle: a tale of transverse instability P Ashwin, J Buescu, I Stewart Nonlinearity 9 (3), 703, 1996	458	1996
Mathematical frameworks for oscillatory network dynamics in neuroscience P Ashwin, S Coombes, R Nicks The Journal of Mathematical Neuroscience 6, 1-92, 2016	320	2016
The dynamics ofn weakly coupled identical oscillators P Ashwin, JW Swift Journal of Nonlinear Science 2, 69-108, 1992	298	1992
Synchronization of chaos in an array of three lasers JR Terry, KS Thornburg Jr, DJ DeShazer, GD VanWiggeren, S Zhu, ... Physical Review E 59 (4), 4036, 1999	209	1999
Weak chimeras in minimal networks of coupled phase oscillators P Ashwin, O Burylko Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (1), 2015	202	2015
Excitability in ramped systems: the compost-bomb instability S Wieczorek, P Ashwin, CM Luke, PM Cox Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011	181	2011
Travelling fronts for the KPP equation with spatio-temporal delay P Ashwin, MV Bartuccelli, TJ Bridges, SA Gourley Zeitschrift für angewandte Mathematik und Physik ZAMP 53, 103-122, 2002	145	2002
Early endosome motility spatially organizes polysome distribution Y Higuchi, P Ashwin, Y Roger, G Steinberg Journal of Cell Biology 204 (3), 343-357, 2014	133	2014
Three identical oscillators with symmetric coupling P Ashwin, GP King, JW Swift Nonlinearity 3 (3), 585, 1990	126	1990
Parameter shifts for nonautonomous systems in low dimension: bifurcation-and rate-induced tipping P Ashwin, C Perryman, S Wieczorek Nonlinearity 30 (6), 2185, 2017	119	2017
Dynamics on networks of cluster states for globally coupled phase oscillators P Ashwin, G Orosz, J Wordsworth, S Townley SIAM Journal on Applied Dynamical Systems 6 (4), 728-758, 2007	113	2007
A phenomenological model of seizure initiation suggests network structure may explain seizure frequency in idiopathic generalised epilepsy O Benjamin, THB Fitzgerald, P Ashwin, K Tsaneva-Atanasova, ... The Journal of Mathematical Neuroscience 2, 1-30, 2012	112	2012
Heteroclinic networks in coupled cell systems P Ashwin, M Field Archive for Rational Mechanics and Analysis 148, 107-143, 1999	112	1999
Chaos in generically coupled phase oscillator networks with nonpairwise interactions C Bick, P Ashwin, A Rodrigues Chaos: An Interdisciplinary Journal of Nonlinear Science 26 (9), 2016	111	2016
Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation M Aguiar, P Ashwin, A Dias, M Field Journal of nonlinear science 21 (2), 271-323, 2011	110	2011
Chimera states in networks of phase oscillators: the case of two small populations MJ Panaggio, DM Abrams, P Ashwin, CR Laing Physical Review E 93 (1), 012218, 2016	109	2016
When instability makes sense P Ashwin, M Timme Nature 436 (7047), 36-37, 2005	107	2005
Calculation of the periodic spectral components in a chaotic DC-DC converter JHB Deane, P Ashwin, DC Hamill, DJ Jefferies IEEE Transactions on Circuits and Systems I: Fundamental Theory and …, 1999	102	1999

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