| Publication | Date of Publication | Type |
|---|
| Staying the course: iteratively locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds | 2023-04-11 | Paper |
| Continuation methods for principal foliations of embedded surfaces | 2022-07-14 | Paper |
| Staying the course: Locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds | 2022-04-21 | Paper |
| Principal Foliations of Surfaces near Ellipsoids | 2021-09-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5134667 | 2020-11-17 | Paper |
| Dense lines of curvature on convex surfaces | 2020-06-11 | Paper |
| Locomotion: exploiting noise for state estimation | 2019-03-27 | Paper |
| BIFURCATIONS IN THE FAST DYNAMICS OF NEURONS: IMPLICATIONS FOR BURSTING | 2018-12-18 | Paper |
| Dynamics, Control, and Stabilization of Turning Flight in Fruit Flies | 2018-01-16 | Paper |
| Invariant manifolds and global bifurcations | 2017-11-17 | Paper |
| (Un)predictability of strong El Ni\~no events | 2017-10-09 | Paper |
| Mixed mode oscillations of the El Ni\~no-Southern Oscillation | 2015-11-23 | Paper |
| A Smooth Multivariate Interpolation Algorithm | 2015-07-01 | Paper |
| The Birth of Chaos | 2015-06-05 | Paper |
| Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations | 2015-05-12 | Paper |
| Lateral stability of the spring-mass hopper suggests a two-step control strategy for running | 2015-04-21 | Paper |
| Flight Stability of Mosquitos: A Reduced Model | 2015-02-09 | Paper |
| From data to dynamical systems | 2014-08-08 | Paper |
| Multiple Time Scale Analysis of a Model Belousov--Zhabotinskii Reaction | 2014-01-22 | Paper |
| Rigorous Enclosures of a Slow Manifold | 2013-01-30 | Paper |
| Unfoldings of Singular Hopf Bifurcation | 2013-01-30 | Paper |
| Mixed-Mode Oscillations with Multiple Time Scales | 2012-08-22 | Paper |
| The singular limit of a Hopf bifurcation | 2012-07-04 | Paper |
| A Geometric Model for Mixed-Mode Oscillations in a Chemical System | 2011-02-22 | Paper |
| Symbolic dynamics and relaxation oscillations | 2010-09-13 | Paper |
| Persistent properties of bifurcations | 2010-09-13 | Paper |
| The backward behavior of the Ricci and cross-curvature flows on SL\((2,\mathbb{R})\) | 2010-09-02 | Paper |
| Dissecting the Phase Response of a Model Bursting Neuron | 2010-07-26 | Paper |
| Homoclinic Orbits of the FitzHugh–Nagumo Equation: Bifurcations in the Full System | 2010-05-06 | Paper |
| Homoclinic orbits of the FitzHugh-Nagumo equation: the singular-limit | 2009-12-21 | Paper |
| Computing Slow Manifolds of Saddle Type | 2009-07-29 | Paper |
| Singular Hopf Bifurcation in Systems with Two Slow Variables | 2009-04-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3518449 | 2008-08-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5424366 | 2007-11-05 | Paper |
| BIFURCATIONS OF RELAXATION OSCILLATIONS NEAR FOLDED SADDLES | 2006-06-23 | Paper |
| The Dynamics of Legged Locomotion: Models, Analyses, and Challenges | 2006-06-01 | Paper |
| Chaotic attractors of relaxation oscillators | 2006-03-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3371983 | 2006-02-22 | Paper |
| A SURVEY OF METHODS FOR COMPUTING (UN)STABLE MANIFOLDS OF VECTOR FIELDS | 2005-09-26 | Paper |
| A Fast Method for Approximating Invariant Manifolds | 2005-02-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3159737 | 2005-02-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4817691 | 2004-09-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4550340 | 2004-02-22 | Paper |
| The Forced van der Pol Equation II: Canards in the Reduced System | 2004-01-08 | Paper |
| The Forced van der Pol Equation I: The Slow Flow and Its Bifurcations | 2003-06-19 | Paper |
| Chaos in the Hodgkin--Huxley Model | 2003-01-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2732618 | 2002-05-10 | Paper |
| NUMERICAL COMPUTATION OF CANARDS | 2002-02-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4511195 | 2001-04-10 | Paper |
| Computing periodic orbits with high accuracy | 2001-02-08 | Paper |
| Asymptotic analysis of subcritical Hopf-homoclinic bifurcation | 2001-02-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4524647 | 2001-01-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2741060 | 2001-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2770235 | 2001-01-01 | Paper |
| Computing Periodic Orbits and their Bifurcations with Automatic Differentiation | 2000-10-19 | Paper |
| Computing Hopf Bifurcations I | 2000-08-28 | Paper |
| Computing Hopf Bifurcations. II: Three Examples From Neurophysiology | 2000-08-28 | Paper |
| Instability induced by symmetry reduction | 2000-07-16 | Paper |
| An improved parameter estimation method for Hodgkin-Huxley models | 1999-12-16 | Paper |
| Bifurcation, bursting, and spike frequency adaptation | 1998-06-08 | Paper |
| COMPUTER-GENERATED PROOFS OF PHASE PORTRAITS FOR PLANAR SYSTEMS | 1998-02-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3125558 | 1997-11-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4353644 | 1997-11-09 | Paper |
| Defining Functions for Multiple Hopf Bifurcations | 1997-06-12 | Paper |
| Phase Portraits of Planar Vector Fields: Computer Proofs | 1996-09-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4863262 | 1996-02-04 | Paper |
| A robust hybrid stabilization strategy for equilibria | 1995-11-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4311164 | 1995-06-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4279716 | 1995-03-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4280769 | 1994-02-24 | Paper |
| Bifurcation of the Hodgkin and Huxley equations: A new twist | 1994-01-05 | Paper |
| Reduction of a channel-based model for a stomatogastric ganglion LP neuron | 1993-08-18 | Paper |
| Instant chaos | 1992-12-17 | Paper |
| Symmetry properties of confined convective states | 1992-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4010726 | 1992-09-27 | Paper |
| Resonant triad interactions in symmetric systems | 1992-06-28 | Paper |
| COMPUTATIONAL ENVIRONMENTS FOR EXPLORING DYNAMICAL SYSTEMS | 1991-01-01 | Paper |
| Integrability of plane quadratic vector fields | 1990-01-01 | Paper |
| Distortion of S-unimodal maps | 1990-01-01 | Paper |
| Degenerate homoclinic cycles in perturbations of quadratic Hamiltonian systems | 1989-01-01 | Paper |
| Resonance regions for families of torus maps | 1989-01-01 | Paper |
| Kuramoto–Sivashinsky Dynamics on the Center–Unstable Manifold | 1989-01-01 | Paper |
| Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry | 1988-01-01 | Paper |
| Structurally stable heteroclinic cycles | 1988-01-01 | Paper |
| Limit sets of S-unimodal maps with zero entropy | 1987-01-01 | Paper |
| On a four parameter family of planar vector fields | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3759581 | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4725386 | 1986-01-01 | Paper |
| Multiple bifurcation problems for chemical reactors | 1986-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3773595 | 1986-01-01 | Paper |
| Multiple Bifurcation Problems of Codimension Two | 1984-01-01 | Paper |
| Dimension estimates for attractors | 1984-01-01 | Paper |
| Nonlinear oscillations, dynamical systems, and bifurcations of vector fields | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3036343 | 1983-01-01 | Paper |
| Nonlinear convection in a rotating layer: Amplitude expansions and normal forms | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3940514 | 1981-01-01 | Paper |
| Dynamical systems. C.I.M.E. Lectures, Bressanone, Italy, June 1978 | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3893024 | 1980-01-01 | Paper |
| Dynamics of the Van der Pol equation | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3897736 | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3898361 | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3911763 | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3940523 | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3963741 | 1980-01-01 | Paper |
| Sensitive dependence to initial conditions for one dimensional maps | 1979-01-01 | Paper |
| Structural stability of Lorenz attractors | 1979-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3886545 | 1979-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3908201 | 1979-01-01 | Paper |
| Random evolutionarily stable strategies | 1978-01-01 | Paper |
| The catastrophe controversy | 1978-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4193318 | 1978-01-01 | Paper |
| On the bifurcation of maps of the interval | 1977-01-01 | Paper |
| The cusps of Zeeman's catastrophe machine | 1977-01-01 | Paper |
| The dynamics of density dependent population models | 1977-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4120939 | 1976-01-01 | Paper |
| Shocks and rarefactions in two space dimensions | 1975-01-01 | Paper |
| Isochrons and phaseless sets | 1975-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4063861 | 1975-01-01 | Paper |
| Caustics and non-degenerate Hamiltonians | 1974-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4060172 | 1974-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4772444 | 1973-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4775195 | 1973-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5686609 | 1973-01-01 | Paper |
| Catastrophes and partial differential equations | 1973-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5649698 | 1972-01-01 | Paper |
| Absolutely \(\Omega\)-stable diffeomorphisms | 1972-01-01 | Paper |
| Axiom 𝐴+𝑁𝑂 cycles⇒𝜁_{𝑓}(𝑡) rational | 1970-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5605740 | 1970-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5605741 | 1970-01-01 | Paper |
