A Remark on heteroclinic bifurcations Near Steady State/Pitchfork bifurcations. - Vivien Kirk; Edgar Knobloch (Int. J. Bifurc. Chaos, 2004)

When Shil'nikov Meets Hopf in Excitable Systems. - Alan R. Champneys; Vivien Kirk; Edgar Knobloch; Bart E. Oldeman; James Sneyd (SIAM J. Appl. Dyn. Syst., 2007)

Unfolding a Tangent Equilibrium-to-Periodic Heteroclinic Cycle. - Alan R. Champneys; Vivien Kirk; Edgar Knobloch; Bart E. Oldeman; Jens D. M. Rademacher (SIAM J. Appl. Dyn. Syst., 2009)

Multiple Timescales, Mixed Mode Oscillations and Canards in Models of Intracellular Calcium Dynamics. - Emily P. Harvey; Vivien Kirk; Martin Wechselberger; James Sneyd (J. Nonlinear Sci., 2011)

Resonance Bifurcations of Robust Heteroclinic Networks. - Vivien Kirk; Claire M. Postlethwaite; Alastair M. Rucklidge (SIAM J. Appl. Dyn. Syst., 2012)

Traveling Waves in a Simplified Model of Calcium Dynamics. - Je-Chiang Tsai; Wenjun Zhang 003; Vivien Kirk; James Sneyd (SIAM J. Appl. Dyn. Syst., 2012)

Understanding and Distinguishing Three-Time-Scale Oscillations: Case Study in a Coupled Morris-Lecar System. - Pingyu Nan; Yangyang Wang 002; Vivien Kirk; Jonathan E. Rubin (SIAM J. Appl. Dyn. Syst., 2015)

A mathematical model of calcium dynamics in HSY cells. - Jung-Min Han; Akihiko Tanimura; Vivien Kirk; James Sneyd (PLoS Comput. Biol., 2017)

Spike-Adding in a Canonical Three-Time-Scale Model: Superslow Explosion and Folded-Saddle Canards. - Mathieu Desroches; Vivien Kirk (SIAM J. Appl. Dyn. Syst., 2018)

Computing the Stable Manifold of a Saddle Slow Manifold. - Saeed Farjami; Vivien Kirk; Hinke M. Osinga (SIAM J. Appl. Dyn. Syst., 2018)

Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics. - Samuel Jelbart; Nathan Pages; Vivien Kirk; James Sneyd; Martin Wechselberger (SIAM J. Appl. Dyn. Syst., 2022)

Understanding Broad-Spike Oscillations in a Model of Intracellular Calcium Dynamics. - Behnaz Rahmani; Samuel Jelbart; Vivien Kirk; James Sneyd (SIAM J. Appl. Dyn. Syst., 2025)