Vivien Kirk

13 papers Journal 13
YearRankTypeTitle / Venue / Authors
2026 J jnl
Analysis of Dynamics near Heteroclinic Networks in \(\boldsymbol{\mathbb{R}^{4}}\) with a Projected Map.
SIAM J. Appl. Dyn. Syst.
David C. Groothuizen Dijkema, Vivien Kirk, Claire M. Postlethwaite
2025 J jnl
Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics.
SIAM J. Appl. Dyn. Syst.
Behnaz Rahmani, Samuel Jelbart, Vivien Kirk, James Sneyd
2022 J jnl
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics.
SIAM J. Appl. Dyn. Syst.
Samuel Jelbart, Nathan Pages, Vivien Kirk, James Sneyd, Martin Wechselberger
2018 J jnl
Computing the Stable Manifold of a Saddle Slow Manifold.
SIAM J. Appl. Dyn. Syst.
Saeed Farjami, Vivien Kirk, Hinke M. Osinga
2018 J jnl
Spike-Adding in a Canonical Three-Time-Scale Model: Superslow Explosion and Folded-Saddle Canards.
SIAM J. Appl. Dyn. Syst.
Mathieu Desroches, Vivien Kirk
2017 J jnl
A mathematical model of calcium dynamics in HSY cells.
PLoS Comput. Biol.
Jung-Min Han, Akihiko Tanimura, Vivien Kirk, James Sneyd
2015 J jnl
Understanding and Distinguishing Three-Time-Scale Oscillations: Case Study in a Coupled Morris-Lecar System.
SIAM J. Appl. Dyn. Syst.
Pingyu Nan, Yangyang Wang, Vivien Kirk, Jonathan E. Rubin
2012 J jnl
Resonance Bifurcations of Robust Heteroclinic Networks.
SIAM J. Appl. Dyn. Syst.
Vivien Kirk, Claire M. Postlethwaite, Alastair M. Rucklidge
2012 J jnl
Traveling Waves in a Simplified Model of Calcium Dynamics.
SIAM J. Appl. Dyn. Syst.
Je-Chiang Tsai, Wenjun Zhang, Vivien Kirk, James Sneyd
2011 J jnl
Multiple Timescales, Mixed Mode Oscillations and Canards in Models of Intracellular Calcium Dynamics.
J. Nonlinear Sci.
Emily P. Harvey, Vivien Kirk, Martin Wechselberger, James Sneyd
2009 J jnl
Unfolding a Tangent Equilibrium-to-Periodic Heteroclinic Cycle.
SIAM J. Appl. Dyn. Syst.
Alan R. Champneys, Vivien Kirk, Edgar Knobloch, Bart E. Oldeman, Jens D. M. Rademacher
2007 J jnl
When Shil'nikov Meets Hopf in Excitable Systems.
SIAM J. Appl. Dyn. Syst.
Alan R. Champneys, Vivien Kirk, Edgar Knobloch, Bart E. Oldeman, James Sneyd
2004 J jnl
A Remark on heteroclinic bifurcations Near Steady State/Pitchfork bifurcations.
Int. J. Bifurc. Chaos
Vivien Kirk, Edgar Knobloch