Peter Ashwin

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matthew nicolUniversity of HoustonVerified email at math.uh.edu
Sebastian WieczorekUniversity of Exeter, University College CorkVerified email at ucc.ie
John TerryInterdisciplinary Professorial Fellow, University of BirminghamVerified email at bham.ac.uk
Christian BickVrije Universiteit AmsterdamVerified email at vu.nl
Michael FieldUC Santa BarbaraVerified email at imperial.ac.uk
Claire PostlethwaiteUniversity of AucklandVerified email at auckland.ac.nz
Gábor OroszMechanical Engineering, University of Michigan, Ann ArborVerified email at umich.edu
Alastair RucklidgeProfessor of Applied Mathematics, University of LeedsVerified email at leeds.ac.uk
Krasimira Tsaneva-AtanasovaProfessor of Mathematics for Healthcare, University of ExeterVerified email at exeter.ac.uk
Rob SturmanUniversity of LeedsVerified email at maths.leeds.ac.uk
Marc Timme, Network DynamicsChair for Network Dynamics, TU DresdenVerified email at tu-dresden.de
Anna von der HeydtAssistant Professor of Physical Oceanography, Utrecht UniversityVerified email at uu.nl
Gregory P. KingInstitute of Marine Sciences (ICM-CSIC)Verified email at icm.csic.es
Peter DitlevsenNiels Bohr InstituteVerified email at nbi.ku.dk
Ana RodriguesVerified email at exeter.ac.uk
Stephen CoombesUniversity of NottinghamVerified email at nottingham.ac.uk
Stuart TownleyProfessor of Applied Mathematics, University of ExeterVerified email at exeter.ac.uk
Dr. Jorge Alberto Vazquez DiosdadoUniversity of NottinghamVerified email at nottingham.ac.uk
Yuri MaistrenkoInstitute of Mathematics and Center for Medical and Biotechnical Research, NAS of UkraineVerified email at biomed.kiev.ua
Eurico CovasCITEUC, Geophysical and Astronomical Observatory, University of Coimbra, 3040-004, Coimbra, Portugal

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	650	1994
From attractor to chaotic saddle: a tale of transverse instability P Ashwin, J Buescu, I Stewart Nonlinearity 9 (3), 703, 1996	442	1996
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	296	2012
The dynamics ofn weakly coupled identical oscillators P Ashwin, JW Swift Journal of Nonlinear Science 2 (1), 69-108, 1992	267	1992
Mathematical frameworks for oscillatory network dynamics in neuroscience P Ashwin, S Coombes, R Nicks The Journal of Mathematical Neuroscience 6 (1), 1-92, 2016	220	2016
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	205	1999
Weak chimeras in minimal networks of coupled phase oscillators P Ashwin, O Burylko Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (1), 013106, 2015	157	2015
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 (1), 103-122, 2002	140	2002
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	129	2011
Three identical oscillators with symmetric coupling P Ashwin, GP King, JW Swift Nonlinearity 3 (3), 585, 1990	116	1990
Early endosome motility spatially organizes polysome distribution Y Higuchi, P Ashwin, Y Roger, G Steinberg Journal of Cell Biology 204 (3), 343-357, 2014	114	2014
Heteroclinic networks in coupled cell systems P Ashwin, M Field Archive for Rational Mechanics and Analysis 148 (2), 107-143, 1999	98	1999
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	97	2007
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	95	1999
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	94	2011
When instability makes sense P Ashwin, M Timme Nature 436 (7047), 36-37, 2005	94	2005
Controlled and stochastic retention concentrates dynein at microtubule ends to keep endosomes on track M Schuster, S Kilaru, P Ashwin, C Lin, NJ Severs, G Steinberg The EMBO journal 30 (4), 652-664, 2011	90	2011
On riddling and weak attractors P Ashwin, JR Terry Physica D: Nonlinear Phenomena 142 (1-2), 87-100, 2000	89	2000
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	84	2016
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), 1-30, 2012	83	2012

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