Vivien Kirk
#45,153
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New Zealand mathematician
Vivien Kirk's AcademicInfluence.com Rankings
Vivien Kirkmathematics Degrees
Mathematics
#4218
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#6040
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Measure Theory
#4152
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#4890
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Mathematics
Vivien Kirk's Degrees
- PhD Mathematics University of Auckland
Why Is Vivien Kirk Influential?
(Suggest an Edit or Addition)According to Wikipedia, Vivien Kirk is a New Zealand mathematician who studies dynamical systems. She is a professor of mathematics at the University of Auckland, where she also serves as associate dean, and was president of the New Zealand Mathematical Society for 2017–2019.
Vivien Kirk's Published Works
Published Works
- Chaotically modulated stellar dynamos (1995) (117)
- Models of Calcium Signalling (2016) (97)
- A competition between heteroclinic cycles (1994) (97)
- Noisy heteroclinic networks (2003) (81)
- On the dynamical structure of calcium oscillations (2017) (75)
- Multiple Timescales, Mixed Mode Oscillations and Canards in Models of Intracellular Calcium Dynamics (2011) (64)
- When Shil'nikov Meets Hopf in Excitable Systems (2007) (54)
- Breaking of symmetry in the saddle-node Hopf bifurcation (1991) (44)
- The entwined wiggling of homoclinic curves emerging from saddle-node/Hopf instabilities (2004) (44)
- Banded chaos in power systems (2001) (37)
- Merging of resonance tongues (1993) (36)
- Unfolding a Tangent Equilibrium-to-Periodic Heteroclinic Cycle (2009) (32)
- Understanding anomalous delays in a model of intracellular calcium dynamics. (2010) (31)
- A mechanism for switching near a heteroclinic network (2009) (30)
- How to find a codimension-one heterocliniccycle between two periodic orbits (2012) (29)
- Understanding and Distinguishing Three-Time-Scale Oscillations: Case Study in a Coupled Morris-Lecar System (2015) (26)
- The effect of symmetry breaking on the dynamics near a structurally stable heteroclinic cycle between equilibria and a periodic orbit (2006) (22)
- Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales (2011) (19)
- Traveling Waves in a Simplified Model of Calcium Dynamics (2012) (19)
- Complex oscillations and waves of calcium in pancreatic acinar cells (2005) (17)
- A mathematical model of calcium dynamics in HSY cells (2017) (16)
- Effect of a refractory period on the entrainment of pulse-coupled integrate-and-fire oscillators (1997) (16)
- A bifurcation analysis of calcium buffering. (2006) (15)
- Effects of quasi-steady-state reduction on biophysical models with oscillations. (2016) (14)
- Regulation of Electrical Bursting in a Spatiotemporal Model of a GnRH Neuron (2013) (14)
- Resonance Bifurcations of Robust Heteroclinic Networks (2012) (12)
- Spike-Adding in a Canonical Three-Time-Scale Model: Superslow Explosion and Folded-Saddle Canards (2018) (11)
- Robust heteroclinic and switching dynamics (2010) (11)
- Computing the Stable Manifold of a Saddle Slow Manifold (2018) (10)
- Branches of stable three-tori using Hamiltonian methods in hopf bifurcation on a rhombic lattice (1996) (8)
- Equivariant bifurcation analysis of localized patterns in excitable media (1992) (8)
- Transient spike adding in the presence of equilibria (2016) (7)
- Mathematical Analysis of Complex Cellular Activity (2015) (7)
- A Model of $$\hbox {Ca}^{2+}$$Ca2+ Dynamics in an Accurate Reconstruction of Parotid Acinar Cells (2019) (6)
- Interactions between a locally separating stable manifold and a bursting periodic orbit (2018) (5)
- Dual mechanisms of Ca2+ oscillations in hepatocytes. (2020) (5)
- A Model of Ca 2+ Dynamics in an Accurate Reconstruction of Parotid Acinar Cells (2019) (5)
- The Calcium Toolbox (2016) (4)
- Neurons and Other Excitable Cells (2016) (4)
- The assumption of optimality in foraging models: A simulated experiment with dairy cows grazing grass pasture (2008) (4)
- Hierarchical and Stochastic Modelling (2016) (3)
- Basic Modelling Principles: Deterministic Models (2016) (3)
- Some Background Physiology (2016) (2)
- A Remark on heteroclinic bifurcations Near Steady State/Pitchfork bifurcations (2004) (2)
- Nonlinear Dynamics of Calcium (2016) (1)
- Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics (2021) (1)
- The Nonlinear Dynamics of Calcium (2015) (0)
- C D ] 1 9 Ju n 20 12 RESONANCE BIFURCATIONS OF ROBUST HETEROCLINIC NETWORKS (0)
- Understanding and distinguishing three time scale oscillations (2014) (0)
- Understanding and distinguishing three time scale oscillations (2014) (0)
- Interactions between a locally separating stable manifold and a bursting periodic orbit (2018) (0)
- Energies for Superallowed ft-Values: 42 Sc(β + ) 42 Ca (1986) (0)
- Transient spike adding in the presence of equilibria (2016) (0)
- A Tale of Two Receptors. (2021) (0)
- Regulation of Electrical Bursting in a Spatiotemporal Model of a GnRH Neuron (2013) (0)
- UNDERSTANDING CALCIUM DYNAMICS VIA PROCESS-ORIENTED GEOMETRIC SINGULAR PERTURBATION THEORY (2021) (0)
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What Schools Are Affiliated With Vivien Kirk?
Vivien Kirk is affiliated with the following schools: