Published in , 2026
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publications
Extending Melnikov theory to invariant manifolds on non-compact domains
Published in Dynamical Systems, 2002
DOI: 10.1080/14689360210136901
The dynamic range of bursting in a model respiratory pacemaker network
Published in SIAM Journal on Applied Dynamical Systems, 2005
Chaotic attractors of relaxation oscillators
Published in Nonlinearity, 2006
DOI: 10.1088/0951-7715/19/3/009
Ionic channels and conductance-based models for hypothalamic neuronal thermosensitivity
Published in American Journal of Physiology - Regulatory Integrative and Comparative Physiology, 2006
DOI: 10.1152/ajpregu.00039.2006
Mixed mode oscillations due to the generalized Canard phenomenon
Published in Bifurcation Theory and Spatio-Temporal Pattern Formation, 2006
Canards
Published in Scholarpedia, 2007
DOI: 10.4249/scholarpedia.1356
Erratum: Ionic channels and conductance-based models for hypothalamic neuronal thermosensitivity (American Journal of Physiology - Regulatory Integrative and Comparative Physiology (2006) 291 (R518-R529) DOI: 10.1152/ajpregu.00039.2006)
Published in American Journal of Physiology - Regulatory Integrative and Comparative Physiology, 2007
DOI: 10.1152/ajpregu.zh6-5747-corr.2007
Erratum: Ionic channels and conductance-based models for hypothalamic neuronal thermosensitivity (American Journal of Physiology - Regulatory Integrative and Comparative Physiology (2006) 291 (R518-R529) DOI: 10.1152/ajpregu.00039.2006)
Published in Journal Name (Syncing...), 2007
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Giant squid-hidden canard: The 3D geometry of the Hodgkin-Huxley model
Published in Biological Cybernetics, 2007
DOI: 10.1007/s00422-007-0153-5
Giant squid-hidden canard: The 3D geometry of the Hodgkin-Huxley model
Published in Journal Name (Syncing...), 2007
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Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II stellate cell model
Published in SIAM Journal on Applied Dynamical Systems, 2008
Electrical waves in a one-dimensional model of cardiac tissue
Published in SIAM Journal on Applied Dynamical Systems, 2008
The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales
Published in Chaos, 2008
Bifurcations of mixed-mode oscillations in a stellate cell model
Published in Physica D: Nonlinear Phenomena, 2009
DOI: 10.1016/j.physd.2009.04.017
Canards, clusters, and synchronization in a weakly coupled interneuron model
Published in Journal Name (Syncing...), 2009
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Canards, clusters, and synchronization in a weakly coupled interneuron model
Published in SIAM Journal on Applied Dynamical Systems, 2009
Homoclinic clusters and chaos associated with a folded node in a stellate cell model
Published in Discrete and Continuous Dynamical Systems - Series S, 2009
Preface: Special issue on bifurcation delay
Published in Discrete and Continuous Dynamical Systems - Series S, 2009
Preface: Special issue on bifurcation delay
Published in Journal Name (Syncing...), 2009
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Folds, canards and shocks in advection-reaction-diffusion models
Published in Journal Name (Syncing...), 2010
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Folds, canards and shocks in advection-reaction-diffusion models
Published in Nonlinearity, 2010
DOI: 10.1088/0951-7715/23/8/008
Local analysis near a folded saddle-node singularity
Published in Journal of Differential Equations, 2010
DOI: 10.1016/j.jde.2010.02.006
Mixed mode oscillations as a mechanism for pseudo-plateau bursting
Published in Journal of Computational Neuroscience, 2010
DOI: 10.1007/s10827-010-0226-7
Understanding anomalous delays in a model of intracellular calcium dynamics
Published in Chaos, 2010
Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales
Published in The Journal of Mathematical Neuroscience, 2011
Multiple timescales, mixed mode oscillations and canards in models of intracellular calcium dynamics
Published in Journal Name (Syncing...), 2011
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Multiple timescales, mixed mode oscillations and canards in models of intracellular calcium dynamics
Published in Journal of Nonlinear Science, 2011
DOI: 10.1007/s00332-011-9096-z
The dynamics underlying pseudo-plateau bursting in a pituitary cell model
Published in The Journal of Mathematical Neuroscience, 2011
Bifurcations of canard-induced mixed mode oscillations in a pituitary lactotroph model
Published in Discrete and Continuous Dynamical Systems, 2012
DOI: 10.3934/dcds.2012.32.2879
Mixed-mode oscillations with multiple time scales
Published in SIAM Review, 2012
New developments in dynamical systems arising from the biosciences
Published in Discrete and Continuous Dynamical Systems, 2012
Canard Theory and Excitability
Published in Nonautonomous Dynamical Systems in the Life Sciences, 2013
DOI: 10.1007/978-3-319-03080-7_3
Canard theory and excitability
Published in Lecture Notes in Mathematics, 2013
DOI: 10.1007/978-3-319-03080-7-3
Excitable neurons, firing threshold manifolds and Canards
Published in Journal Name (Syncing...), 2013
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Excitable neurons, firing threshold manifolds and Canards
Published in Journal of Mathematical Neuroscience, 2013
Multiple geometric viewpoints of mixed mode dynamics associated with pseudo-plateau bursting
Published in SIAM Journal on Applied Dynamical Systems, 2013
A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells
Published in Journal of Computational Neuroscience, 2014
DOI: 10.1007/s10827-013-0470-8
Existence of traveling wave solutions for a model of tumor invasion
Published in SIAM Journal on Applied Dynamical Systems, 2014
Novel solutions for a model of wound healing angiogenesis
Published in Nonlinearity, 2014
DOI: 10.1088/0951-7715/27/12/2975
Transonic evaporation waves in a spherically symmetric nozzle
Published in SIAM Journal on Mathematical Analysis, 2014
Averaging, folded singularities, and torus canards: Explaining transitions between bursting and spiking in a coupled neuron model
Published in Journal Name (Syncing...), 2015
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Averaging, folded singularities, and torus canards: Explaining transitions between bursting and spiking in a coupled neuron model
Published in SIAM Journal on Applied Dynamical Systems, 2015
Canards of folded saddle-node type I
Published in SIAM Journal on Mathematical Analysis, 2015
Geometric Singular Perturbation Analysis of Bursting Oscillations in Pituitary Cells
Published in Mathematical Analysis of Complex Cellular Activity, 2015
DOI: 10.1007/978-3-319-18114-1_1
Mixed mode oscillations in a conceptual climate model
Published in Physica D: Nonlinear Phenomena, 2015
DOI: 10.1016/j.physd.2014.11.003
Neural Excitability and Singular Bifurcations
Published in Journal of Mathematical Neuroscience, 2015
DOI: 10.1186/s13408-015-0029-2
Numerical computation of an Evans function for travelling waves
Published in Mathematical Biosciences, 2015
DOI: 10.1016/j.mbs.2015.05.009
The Role of Cell Volume in the Dynamics of Seizure, Spreading Depression, and Anoxic Depolarization
Published in PLoS Computational Biology, 2015
DOI: 10.1371/journal.pcbi.1004414
Effects of quasi-steady-state reduction on biophysical models with oscillations
Published in Journal of Theoretical Biology, 2016
DOI: 10.1016/j.jtbi.2015.12.011
Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations
Published in Indagationes Mathematicae, 2016
DOI: 10.1016/j.indag.2015.11.005
Folded Saddles and Faux Canards
Published in SIAM Journal on Applied Dynamical Systems, 2017
Transonic canards and stellar wind
Published in Nonlinearity, 2017
(In)stability of Travelling Waves in a Model of Haptotaxis
Published in Journal Name (Syncing...), 2020
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Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems
Published in SIAM Journal on Applied Dynamical Systems, 2020
Geometric Singular Perturbation Theory Beyond the Standard Form
Published in Frontiers in Applied Dynamical Systems: Reviews and Tutorials, 2020
DOI: 10.1007/978-3-030-36399-4
(In)stability of Travelling Waves in a Model of Haptotaxis
Published in SIAM Journal on Applied Mathematics, 2020
Local Theory for Spatio-Temporal Canards and Delayed Bifurcations
Published in SIAM Journal on Mathematical Analysis, 2020
Slow Unfoldings of Contact Singularities in Singularly Perturbed Systems Beyond the Standard Form
Published in Journal of Nonlinear Science, 2020
DOI: 10.1007/s00332-020-09647-4
Two-stroke relaxation oscillators
Published in Nonlinearity, 2020
Multiple timescales and the parametrisation method in geometric singular perturbation theory
Published in Nonlinearity, 2021
Shock-fronted travelling waves in a reaction–diffusion model with nonlinear forward–backward–forward diffusion
Published in Physica D: Nonlinear Phenomena, 2021
DOI: 10.1016/j.physd.2021.132916
Shock-fronted travelling waves in a reaction–diffusion model with nonlinear forward–backward–forward diffusion
Published in Journal Name (Syncing...), 2021
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Singularly Perturbed Oscillators with Exponential Nonlinearities
Published in Journal of Dynamics and Differential Equations, 2021
DOI: 10.1007/s10884-021-10041-1
Singularly perturbed boundary-equilibrium bifurcations
Published in Nonlinearity, 2021
Singularly perturbed boundary-focus bifurcations
Published in Journal of Differential Equations, 2021
DOI: 10.1016/j.jde.2021.06.008
On the stability of shocks in isothermal black hole accretion discs
Published in Monthly Notices of the Royal Astronomical Society, 2022
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics
Published in SIAM Journal on Applied Dynamical Systems, 2022
A Geometric Singular Perturbation Analysis of Shock Selection Rules in Composite Regularized Reaction-Nonlinear Diffusion Models
Published in SIAM Journal on Applied Dynamical Systems, 2024
Analytic shock‐fronted solutions to a reaction–diffusion equation with negative diffusivity
Published in Studies in Applied Mathematics, 2024
Analytic shock‐fronted solutions to a reaction–diffusion equation with negative diffusivity
Published in Journal Name (Syncing...), 2024
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Mucus clears from the trachea in a helix: a new twist to understanding airway diseases
Published in Thorax, 2024
DOI: 10.1136/thorax-2023-221052
Mucus clears from the trachea in a helix: a new twist to understanding airway diseases
Published in Journal Name (Syncing...), 2024
Automatically synced from ORCID.