Dr Vivien Kirk Associate Professor Department of Mathematics Room Number: 303.525 Extension: 88812 Fax: 3737457 E-mail: v.kirkauckland.ac.nz Math Subject Classification: 37 Research Area: Dynamical systems, particularly nonlinear ODEs; theory of local and global bifurcations; symmetry and bifurcations; models of intracellular calcium dynamics.

Personal Homepage

http://www.math.auckland.ac.nz/~kirk

• Dynamics and bifurcations of heteroclinic cycles in systems with symmetry (Thesis Project)
• Local and global bifurcation theory for ODEs (Thesis Project)
• Oscillations and waves in models of intracellular calcium (Thesis Project)

Recent Publications

CHAMPNEYS, A.3, KIRK, V., KNOBLOCH, E.3, OLDEMAN, B.1, RADEMACHER, J.3 'Unfolding a tangent equilibrium-to-periodic heteroclinic cycle'. SIAM Journal on Applied Dynamical Systems, 8, 1261-1304, 2009.

KIRK, V., RUCKLIDGE, A. 3 'The effect of symmetry breaking on the dynamics near a structurally stable heteroclinic cycle between equilibria and a periodic orbit'. Dynamical Systems, 23, 42-74, 2008.

WOODWARD, S. 3, PARSONS, L. 5, KIRK, V. 'The assumption of optimality in foraging models: a simulated experiment with dairy cows grazing pasture grass'. NZ Journal of Agricultural Research, 51, 53-67, 2008.

CHAMPNEYS, A.3, KIRK, V., KNOBLOCH, E.3, OLDEMAN, B.1, SNEYD, J. 'When Shil'nikov Meets Hopf in Excitable Systems'. SIAM Journal on Applied Dynamical Systems, 6, 663-693, 2007.

GIN, E. 5, KIRK, V., SNEYD, J. 'A bifurcation analysis of calcium buffering'. Journal of Theoretical Biology, 242, 1-15, 2006.