Peter Ashwin
Peter Ashwin
Professor of Mathematics, University of Exeter
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Cited by
Cited by
Bubbling of attractors and synchronisation of chaotic oscillators
P Ashwin, J Buescu, I Stewart
Physics Letters A 193 (2), 126-139, 1994
From attractor to chaotic saddle: a tale of transverse instability
P Ashwin, J Buescu, I Stewart
Nonlinearity 9 (3), 703, 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
The dynamics ofn weakly coupled identical oscillators
P Ashwin, JW Swift
Journal of Nonlinear Science 2, 69-108, 1992
Mathematical frameworks for oscillatory network dynamics in neuroscience
P Ashwin, S Coombes, R Nicks
The Journal of Mathematical Neuroscience 6, 1-92, 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
Weak chimeras in minimal networks of coupled phase oscillators
P Ashwin, O Burylko
Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (1), 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
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
Early endosome motility spatially organizes polysome distribution
Y Higuchi, P Ashwin, Y Roger, G Steinberg
Journal of Cell Biology 204 (3), 343-357, 2014
Three identical oscillators with symmetric coupling
P Ashwin, GP King, JW Swift
Nonlinearity 3 (3), 585, 1990
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
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
Heteroclinic networks in coupled cell systems
P Ashwin, M Field
Archive for Rational Mechanics and Analysis 148, 107-143, 1999
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
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
When instability makes sense
P Ashwin, M Timme
Nature 436 (7047), 36-37, 2005
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
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
Parameter shifts for nonautonomous systems in low dimension: bifurcation-and rate-induced tipping
P Ashwin, C Perryman, S Wieczorek
Nonlinearity 30 (6), 2185, 2017
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