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Vivien Kirk
Vivien Kirk
Department of Mathematics, University of Auckland
Zweryfikowany adres z auckland.ac.nz
Tytuł
Cytowane przez
Cytowane przez
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Models of calcium signalling
G Dupont, M Falcke, V Kirk, J Sneyd
Springer, 2016
1532016
A competition between heteroclinic cycles
V Kirk, M Silber
Nonlinearity 7 (6), 1605, 1994
1291994
Chaotically modulated stellar dynamos
SM Tobias, NO Weiss, V Kirk
Monthly Notices of the Royal Astronomical Society 273 (4), 1150-1166, 1995
1271995
On the dynamical structure of calcium oscillations
J Sneyd, JM Han, L Wang, J Chen, X Yang, A Tanimura, MJ Sanderson, ...
Proceedings of the National Academy of Sciences 114 (7), 1456-1461, 2017
1052017
Multiple timescales, mixed mode oscillations and canards in models of intracellular calcium dynamics
E Harvey, V Kirk, M Wechselberger, J Sneyd
Journal of nonlinear science 21, 639-683, 2011
832011
When Shil'nikov meets Hopf in excitable systems
AR Champneys, V Kirk, E Knobloch, BE Oldeman, J Sneyd
SIAM Journal on Applied Dynamical Systems 6 (4), 663-693, 2007
762007
Noisy heteroclinic networks
D Armbruster, E Stone, V Kirk
Chaos: An Interdisciplinary Journal of Nonlinear Science 13 (1), 71-79, 2003
722003
Breaking of symmetry in the saddle-node Hopf bifurcation
V Kirk
Physics Letters A 154 (5-6), 243-248, 1991
551991
The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities
AR Champneys, V Kirk
Physica D: Nonlinear Phenomena 195 (1-2), 77-105, 2004
512004
Banded chaos in power systems
A Ben-Tal, V Kirk, G Wake
IEEE Transactions on Power Delivery 16 (1), 105-110, 2001
462001
Unfolding a tangent equilibrium-to-periodic heteroclinic cycle
AR Champneys, V Kirk, E Knobloch, BE Oldeman, JDM Rademacher
SIAM Journal on Applied Dynamical Systems 8 (3), 1261-1304, 2009
442009
Understanding anomalous delays in a model of intracellular calcium dynamics
E Harvey, V Kirk, HM Osinga, J Sneyd, M Wechselberger
Chaos: An Interdisciplinary Journal of Nonlinear Science 20 (4), 2010
412010
Merging of resonance tongues
V Kirk
Physica D: Nonlinear Phenomena 66 (3-4), 267-281, 1993
401993
Understanding and distinguishing three-time-scale oscillations: Case study in a coupled Morris--Lecar system
P Nan, Y Wang, V Kirk, JE Rubin
SIAM journal on applied dynamical systems 14 (3), 1518-1557, 2015
372015
How to find a codimension-one heteroclinic cycle between two periodic orbits
W Zhang, B Krauskopf, V Kirk
Discrete Contin. Dyn. Syst. Ser. A 32 (8), 2825-2851, 2012
352012
A mechanism for switching near a heteroclinic network
V Kirk, E Lane, CM Postlethwaite, AM Rucklidge, M Silber
Dynamical Systems 25 (3), 323-349, 2010
322010
A mathematical model of calcium dynamics in HSY cells
JM Han, A Tanimura, V Kirk, J Sneyd
PLoS computational biology 13 (2), e1005275, 2017
282017
Traveling waves in a simplified model of calcium dynamics
JC Tsai, W Zhang, V Kirk, J Sneyd
SIAM Journal on Applied Dynamical Systems 11 (4), 1149-1199, 2012
262012
Spike-adding in a canonical three-time-scale model: superslow explosion and folded-saddle canards
M Desroches, V Kirk
SIAM Journal on Applied Dynamical Systems 17 (3), 1989-2017, 2018
242018
The effect of symmetry breaking on the dynamics near a structurally stable heteroclinic cycle between equilibria and a periodic orbit
V Kirk, AM Rucklidge
Dynamical Systems 23 (1), 43-74, 2008
242008
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