Vivien Kirk

According to our database, Vivien Kirk authored at least 11 papers between 2004 and 2022.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2022

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

2018

Computing the Stable Manifold of a Saddle Slow Manifold.

Saeed Farjami, Vivien Kirk, Hinke M. Osinga

SIAM J. Appl. Dyn. Syst., 2018

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

2017

A mathematical model of calcium dynamics in HSY cells.

Jung-Min Han, Akihiko Tanimura, Vivien Kirk, James Sneyd

PLoS Comput. Biol., 2017

2015

Understanding and Distinguishing Three-Time-Scale Oscillations: Case Study in a Coupled Morris-Lecar System.

Pingyu Nan, Yangyang Wang, Vivien Kirk, Jonathan E. Rubin

SIAM J. Appl. Dyn. Syst., 2015

2012

Traveling Waves in a Simplified Model of Calcium Dynamics.

Je-Chiang Tsai, Wenjun Zhang, Vivien Kirk, James Sneyd

SIAM J. Appl. Dyn. Syst., 2012

Resonance Bifurcations of Robust Heteroclinic Networks.

Vivien Kirk, Claire M. Postlethwaite, Alastair M. Rucklidge

SIAM J. Appl. Dyn. Syst., 2012

2011

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

2009

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

2007

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

2004

A Remark on heteroclinic bifurcations Near Steady State/Pitchfork bifurcations.

Vivien Kirk, Edgar Knobloch

Int. J. Bifurc. Chaos, 2004