Related references
Note: Only part of the references are listed.Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit
K. Uldall Kristiansen et al.
NONLINEARITY (2021)
Multiple timescales and the parametrisation method in geometric singular perturbation theory
Ian Lizarraga et al.
NONLINEARITY (2021)
The Regularized Visible Fold Revisited
K. Uldall Kristiansen
JOURNAL OF NONLINEAR SCIENCE (2020)
Two-stroke relaxation oscillators
Samuel Jelbart et al.
NONLINEARITY (2020)
Slow Unfoldings of Contact Singularities in Singularly Perturbed Systems Beyond the Standard Form
Ian Lizarraga et al.
JOURNAL OF NONLINEAR SCIENCE (2020)
Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems
Ian Lizarraga et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2020)
A Model of Ca2+ Dynamics in an Accurate Reconstruction of Parotid Acinar Cells
Nathan Pages et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2019)
Resolution of the Piecewise Smooth Visible-Invisible Two-Fold Singularity in R3 Using Regularization and Blowup
K. Uldall Kristiansen et al.
JOURNAL OF NONLINEAR SCIENCE (2019)
Coordinate-independent singular perturbation reduction for systems with three time scales
Niclas Kruff et al.
MATHEMATICAL BIOSCIENCES AND ENGINEERING (2019)
Fenichel Theory for Multiple Time Scale Singular Perturbation Problems
Pedro Toniol Cardin et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2017)
Geometric analysis of the Goldbeter minimal model for the embryonic cell cycle
Ilona Kosiuk et al.
JOURNAL OF MATHEMATICAL BIOLOGY (2016)
Multiscale Geometry of the Olsen Model and Non-classical Relaxation Oscillations
Christian Kuehn et al.
JOURNAL OF NONLINEAR SCIENCE (2015)
Averaging, Folded Singularities, and Torus Canards: Explaining Transitions between Bursting and Spiking in a Coupled Neuron Model
Kerry-Lyn Roberts et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2015)
Neural Excitability and Singular Bifurcations
Peter De Maesschalck et al.
JOURNAL OF MATHEMATICAL NEUROSCIENCE (2015)
Normal hyperbolicity and unbounded critical manifolds
Christian Kuehn
NONLINEARITY (2014)
Singular Dynamics in Gene Network Models
A. Machina et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2013)
Multiple Geometric Viewpoints of Mixed Mode Dynamics Associated with Pseudo-plateau Bursting
Theodore Vo et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2013)
Excitable Neurons, Firing Threshold Manifolds and Canards
John Mitry et al.
Journal of Mathematical Neuroscience (2013)
Computing quasi-steady state reductions
Alexandra Goeke et al.
JOURNAL OF MATHEMATICAL CHEMISTRY (2012)
Dynamics of actively regulated gene networks
Liliana Ironi et al.
PHYSICA D-NONLINEAR PHENOMENA (2011)
Scaling in Singular Perturbation Problems: Blowing Up a Relaxation Oscillator
Ilona Kosiuk et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2011)
Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation
Jaume Llibre et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2009)
Regularization of discontinuous vector fields on R3 via singular perturbation
Jaume Llibre et al.
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2007)
A singular approach to discontinuous vector fields on the plane
Claudio A. Buzzi et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2006)
Models of IP3 and Ca2+ oscillations:: Frequency encoding and identification of underlying feedbacks
A Politi et al.
BIOPHYSICAL JOURNAL (2006)
Models of the inositol trisphosphate receptor
J Sneyd et al.
PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY (2005)
Analysis and generic properties of gene regulatory networks with graded response functions
E Plahte et al.
PHYSICA D-NONLINEAR PHENOMENA (2005)
Geometric singular perturbation analysis of the Yamada model
A Huber et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2005)
MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs
A Dhooge et al.
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE (2003)
Phosphorylation of inositol 1,4,5-trisphosphate receptors in parotid acinar cells -: A mechanism for the synergistic effects of cAMP on Ca2+ signaling
JIE Bruce et al.
JOURNAL OF BIOLOGICAL CHEMISTRY (2002)
Relaxation oscillation and canard explosion
M Krupa et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2001)