Models of calcium signalling G Dupont, M Falcke, V Kirk, J Sneyd Springer, 2016 | 162 | 2016 |
A competition between heteroclinic cycles V Kirk, M Silber Nonlinearity 7 (6), 1605, 1994 | 130 | 1994 |
Chaotically modulated stellar dynamos SM Tobias, NO Weiss, V Kirk Monthly Notices of the Royal Astronomical Society 273 (4), 1150-1166, 1995 | 126 | 1995 |
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 | 113 | 2017 |
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 | 87 | 2011 |
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 | 76 | 2007 |
Noisy heteroclinic networks D Armbruster, E Stone, V Kirk Chaos: An Interdisciplinary Journal of Nonlinear Science 13 (1), 71-79, 2003 | 74 | 2003 |
Breaking of symmetry in the saddle-node Hopf bifurcation V Kirk Physics Letters A 154 (5-6), 243-248, 1991 | 56 | 1991 |
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 | 53 | 2004 |
Banded chaos in power systems A Ben-Tal, V Kirk, G Wake IEEE Transactions on Power Delivery 16 (1), 105-110, 2001 | 47 | 2001 |
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 | 44 | 2009 |
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 | 41 | 2010 |
Merging of resonance tongues V Kirk Physica D: Nonlinear Phenomena 66 (3-4), 267-281, 1993 | 41 | 1993 |
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 | 37 | 2015 |
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 | 35 | 2012 |
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 | 32 | 2010 |
A mathematical model of calcium dynamics in HSY cells JM Han, A Tanimura, V Kirk, J Sneyd PLoS computational biology 13 (2), e1005275, 2017 | 28 | 2017 |
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 | 26 | 2012 |
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 | 24 | 2018 |
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 | 24 | 2008 |