A set oriented approach to global optimal control

A unified model of CA1/3 pyramidal cells: an investigation into excitability.

scientific article published on 29 September 2010

Adaptive topographies and equilibrium selection in an evolutionary game

scientific article published on 23 February 2015

Arnol$'$d Tongues Arising from a Grazing-Sliding Bifurcation

Boundary crisis bifurcation in two parameters

Boundary crisis in quasiperiodically forced systems

CROSS-CURRENTS BETWEEN BIOLOGY AND MATHEMATICS: THE CODIMENSION OF PSEUDO-PLATEAU BURSTING.

scientific article

Chaos and Wild Chaos in Lorenz-Type Systems

Codimension-one tangency bifurcations of global Poincaré maps of four-dimensional vector fields

Computing Geodesic Level Sets on Global (Un)stable Manifolds of Vector Fields

Computing Invariant Manifolds via the Continuation of Orbit Segments

Continuation of Quasi-periodic Invariant Tori

Continuation-based Computation of Global Isochrons

Continuation-based numerical detection of after-depolarization and spike-adding thresholds.

scientific article published on 22 January 2013

Crocheting the Lorenz Manifold

Determining the global manifold structure of a continuous-time heterodimensional cycle

article published in 2022

Dynamical systems analysis of spike-adding mechanisms in transient bursts.

scientific article published on 24 April 2012

Efficient computation of quasiperiodic oscillations in nonlinear systems with fast rotating parts

Forward-Time and Backward-Time Isochrons and Their Interactions

Fourier methods for quasi-periodic oscillations

From wild Lorenz-like to wild Rovella-like dynamics

Full system bifurcation analysis of endocrine bursting models

scientific article

Geometric analysis of transient bursts

scientific article published in December 2013

Global Invariant Manifolds Near Homoclinic Orbits to a Real Saddle: (Non)Orientability and Flip Bifurcation

Global bifurcations of the Lorenz manifold

Global invariant manifolds in the transition to preturbulence in the Lorenz system

Global organization of phase space in the transition to chaos in the Lorenz system

Growing 1D and Quasi-2D Unstable Manifolds of Maps

Interacting Global Invariant Sets in a Planar Map Model of Wild Chaos

Interactions of the Julia Set with Critical and (Un)Stable Sets in an Angle-Doubling Map on ℂ\{0}

Interview with Herbert Bishop Keller

Invariant manifolds and global bifurcations

scientific article published in September 2015

Invariant polygons in systems with grazing-sliding.

scientific article published in June 2008

Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields

Locus of boundary crisis: expect infinitely many gaps.

scientific article published on 7 September 2006

MULTISTABILITY AND NONSMOOTH BIFURCATIONS IN THE QUASIPERIODICALLY FORCED CIRCLE MAP

scientific article published in December 2001

Mixed-Mode Oscillations with Multiple Time Scales

Mixed-mode oscillations and slow manifolds in the self-coupled FitzHugh-Nagumo system

scientific article

Modeling mechanisms of cell secretion.

scientific article published on 27 July 2010

NONORIENTABLE MANIFOLDS IN THREE-DIMENSIONAL VECTOR FIELDS

NUMERICAL STUDY OF MANIFOLD COMPUTATIONS

Parameter-dependent behaviour of periodic channels in a locus of boundary crisis

Preface

Resetting behavior in a model of bursting in secretory pituitary cells: distinguishing plateaus from pseudo-plateaus.

scientific article published on 17 August 2007

Saddle Slow Manifolds and Canard Orbits in [Formula: see text] and Application to the Full Hodgkin-Huxley Model

scientific article published on 19 April 2018

Sensitivity analysis to explain the excitability in a pyramidal neuron with application to Alzheimer’s disease

scientific article

Solving Winfree's puzzle: the isochrons in the FitzHugh-Nagumo model

scientific article

Tangency Bifurcations of Global Poincaré Maps

The Geometry of the Solution Set of Nonlinear Optimal Control Problems

The Lorenz manifold as a collection of geodesic level sets

The role of large-conductance Calcium-activated (BK) channels in shaping bursting oscillations of a somatotroph cell model

article

The singular limit of a Hopf bifurcation

Two-dimensional global manifolds of vector fields

scientific article

Two-dimensional invariant manifolds in four-dimensional dynamical systems

Understanding anomalous delays in a model of intracellular calcium dynamics

scientific article published on December 2010

Understanding the geometry of dynamics: the stable manifold of the Lorenz system

article published in 2018

Unfolding the Cusp-Cusp Bifurcation of Planar Endomorphisms

Visualizing global manifolds during the transition to chaos in the Lorenz system

Visualizing the structure of chaos in the Lorenz system

α -flips and T-points in the Lorenz system