| Publication | Date of Publication | Type |
|---|
| Some elements for a history of the dynamical systems theory | 2021-06-16 | Paper |
| Heterogeneous Inputs to Central Pattern Generators Can Shape Insect Gaits | 2019-10-28 | Paper |
| A model for insect locomotion in the horizontal plane: feedforward activation of fast muscles, stability, and robustness | 2018-12-11 | Paper |
| The effects of feedback on stability and maneuverability of a phase-reduced model for cockroach locomotion | 2018-10-25 | Paper |
| How well can spring-mass-like telescoping leg models fit multi-pedal sagittal-plane locomotion data? | 2018-10-23 | Paper |
| Gait Transitions in a Phase Oscillator Model of an Insect Central Pattern Generator | 2018-03-15 | Paper |
| A genealogy of convex solids via local and global bifurcations of gradient vector fields | 2017-03-08 | Paper |
| Explicit moments of decision times for single- and double-threshold drift-diffusion processes | 2016-12-23 | Paper |
| Some joys and trials of mathematical neuroscience | 2014-05-23 | Paper |
| Erratum to: ``Some joys and trials of mathematical neuroscience | 2014-05-23 | Paper |
| Reflexes and preflexes: on the role of sensory feedback on rhythmic patterns in insect locomo\-tion | 2013-06-21 | Paper |
| A hexapedal jointed-leg model for insect locomotion in the horizontal plane | 2012-10-19 | Paper |
| Neural Dynamics, Bifurcations, and Firing Rates in a Quadratic Integrate-and-Fire Model with a Recovery Variable. I: Deterministic Behavior | 2012-10-02 | Paper |
| Turbulence, Coherent Structures, Dynamical Systems and Symmetry | 2012-04-18 | Paper |
| Power spectra of chaotic vibrations of a buckled beam | 2012-04-02 | Paper |
| Steering by transient destabilization in piecewise-holonomic models of legged locomotion | 2012-01-06 | Paper |
| A simple model for clock-actuated legged locomotion | 2012-01-03 | Paper |
| A phase-reduced neuro-mechanical model for insect locomotion: feed-forward stability and proprioceptive feedback | 2011-05-06 | Paper |
| Dimension Reduction and Dynamics of a Spiking Neural Network Model for Decision Making under Neuromodulation | 2011-05-02 | Paper |
| Low dimensional models of the wall region in a turbulent boundary layer: new results | 2010-09-13 | Paper |
| Center manifolds, normal forms and bifurcations of vector fields with application to coupling between periodic and steady motions | 2010-09-13 | Paper |
| Proof of non-integrability for the Hénon-Heiles Hamiltonian near an exceptional integrable case | 2010-09-13 | Paper |
| Dynamics of the Kirchhoff equations. I: Coincident centers of gravity and buoyancy | 2010-09-11 | Paper |
| Robust versus optimal strategies for two-alternative forced choice tasks | 2010-05-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3558498 | 2010-05-05 | Paper |
| Models for turbulent plane Couette flow using the proper orthogonal decomposition | 2010-04-22 | Paper |
| A comparison of bounded diffusion models for choice in time controlled tasks | 2009-10-13 | Paper |
| Sequential Effects in Two-Choice Reaction Time Tasks: Decomposition and Synthesis of Mechanisms | 2009-10-09 | Paper |
| Dynamical Analysis of Bayesian Inference Models for the Eriksen Task | 2009-07-31 | Paper |
| On Synchronization and Traveling Waves in Chains of Relaxation Oscillators with an Application to Lamprey CPG | 2009-04-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3520789 | 2008-08-26 | Paper |
| A Neural Network Model of the Eriksen Task: Reduction, Analysis, and Data Fitting | 2008-03-06 | Paper |
| Erratum: ‘‘Interaction of adjacent bursts in the wall region’’ [Phys. Fluids 6, 954 (1994)] | 2007-08-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3430924 | 2007-04-05 | Paper |
| On the dynamics of cranes, or spherical pendula with moving supports | 2007-03-28 | Paper |
| Rapid decision threshold modulation by reward rate in a neural network | 2006-11-15 | Paper |
| Heteroclinic cycles and periodic orbits for the O(2)-equivariant 0:1:2 mode interaction | 2006-10-05 | Paper |
| Low-dimensional modelling of turbulence using the proper orthogonal decomposition: A tutorial | 2006-08-14 | Paper |
| The dynamics of choice among multiple alternatives | 2006-06-30 | Paper |
| NINETY PLUS THIRTY YEARS OF NONLINEAR DYNAMICS: LESS IS MORE AND MORE IS DIFFERENT | 2006-06-23 | Paper |
| The Dynamics of Legged Locomotion: Models, Analyses, and Challenges | 2006-06-01 | Paper |
| Towards a neuromechanical model for insect locomotion: hybrid dynamical systems | 2005-10-28 | Paper |
| Low-dimensional models for turbulent plane Couette flow in a minimal flow unit | 2005-10-06 | Paper |
| Minimal Models of Bursting Neurons: How Multiple Currents, Conductances, and Timescales Affect Bifurcation Diagrams | 2005-02-28 | Paper |
| A Minimal Model of a Central Pattern Generator and Motoneurons for Insect Locomotion | 2005-02-28 | Paper |
| Dynamics and stability of insect locomotion: a hexapedal model for horizontal plane motions | 2004-12-17 | Paper |
| Mechanical models for insect locomotion: active muscles and energy losses | 2004-12-01 | Paper |
| Strong NLS soliton-defect interactions | 2004-11-22 | Paper |
| Euler buckling in a potential field | 2004-09-22 | Paper |
| On nonlinear boundary-value problems: ghosts, parasites and discretizations | 2004-08-06 | Paper |
| Travelling wave solutions of the degenerate KolmogorovPetrovskiPiskunov equation | 2004-06-18 | Paper |
| Buckling of extensible thermoelastic rods | 2003-10-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2770239 | 2003-07-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2776596 | 2003-03-20 | Paper |
| Buckling in response to applied heat sources | 2003-02-19 | Paper |
| Motions and stability of a piecewise holonomic system: The discrete Chaplygin sleigh | 2002-12-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4379323 | 2002-11-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4953625 | 2002-07-28 | Paper |
| Mechanical models for insect locomotion: Dynamics and stability in the horizontal plane. I: Theory. | 2002-06-19 | Paper |
| Homoclinic orbits and chaos in three– and four–dimensional flows | 2002-06-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4499698 | 2002-04-23 | Paper |
| Spatially localized models of extended systems | 2002-04-11 | Paper |
| Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model | 2002-01-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2741077 | 2001-09-09 | Paper |
| Nonlinear propagation of light in one-dimensional periodic structures | 2001-06-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2715892 | 2001-05-29 | Paper |
| Mechanical models for insect locomotion: Stability and parameter studies | 2001-01-01 | Paper |
| Constrained Euler buckling: An interplay of computation and analysis | 2000-12-03 | Paper |
| Homoclinic saddle-node bifurcations and subshifts in a three-dimensional flow | 2000-02-13 | Paper |
| Mechanical models for insect locomotion: Dynamics and stability in the horizontal plane. II: Application. | 2000-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4266495 | 1999-10-03 | Paper |
| Non-linear, non-planar and non-periodic vibrations of a string | 1999-09-21 | Paper |
| Dynamics and Bifurcations of a Planar Map Modeling Dispersion Managed Breathers | 1999-09-13 | Paper |
| Global existence and uniqueness for an optical fibre laser model | 1999-01-06 | Paper |
| Turbulence, Coherent Structures, Dynamical Systems and Symmetry | 1998-12-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4359403 | 1998-09-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4353570 | 1998-03-11 | Paper |
| Homoclinic explosions and implosions | 1998-01-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4872667 | 1997-12-02 | Paper |
| Constrained Euler buckling | 1997-11-25 | Paper |
| Turbulence, Coherent Structures, Dynamical Systems and Symmetry | 1997-09-22 | Paper |
| Suppression of bursting | 1997-08-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3124837 | 1997-08-04 | Paper |
| AN ODE WHOSE SOLUTIONS CONTAIN ALL KNOTS AND LINKS | 1997-08-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5686944 | 1997-07-06 | Paper |
| Knots and links in three-dimensional flows | 1997-04-17 | Paper |
| The limited effectiveness of normal forms: A critical review and extension of local bifurcation studies of the Brusselator PDE | 1997-02-05 | Paper |
| Erratum: On non-inflectional solutions of non-uniform elasticae | 1997-01-28 | Paper |
| Local models of spatio-temporally complex fields | 1996-02-06 | Paper |
| Interaction of adjacent bursts in the wall region | 1996-01-28 | Paper |
| Wavelet projections of the Kuramoto-Sivashinsky equation. I: Heteroclinic cycles and modulated traveling waves for short systems | 1995-08-29 | Paper |
| The Proper Orthogonal Decomposition, wavelets and modal approaches to the dynamics of coherent structures | 1995-06-08 | Paper |
| Fronts, domain walls and pulses in a generalized Ginzburg-Landau equation | 1995-05-11 | Paper |
| The existence of transverse homoclinic points in the Sitnikov problem | 1995-03-22 | Paper |
| Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation | 1995-03-05 | Paper |
| Control of noisy heteroclinic cycles | 1995-02-16 | Paper |
| Euler's problem, Euler's method, and the standard map; or, the discrete charm of buckling | 1994-10-13 | Paper |
| On the cauchy problem of a generalized ginzburg–landau equation | 1994-08-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4281269 | 1994-05-26 | Paper |
| Coherent structures in random media and wavelets | 1994-05-16 | Paper |
| On the dynamics of fine structure | 1994-05-05 | Paper |
| On non-inflectional solutions of non-uniform elasticae | 1994-05-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4279740 | 1994-04-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4280768 | 1994-03-15 | Paper |
| On the relation between low-dimensional models and the dynamics of coherent structures in the turbulent wall layer | 1994-03-06 | Paper |
| Reduction, Stability, Instability and Bifurcation in Rotationally Symmetric Hamiltonian Systems | 1994-02-28 | Paper |
| Energy minimization and the formation of microstructure in dynamic anti- plane shear | 1993-09-07 | Paper |
| Heteroclinic cycles and modulated travelling waves in a system with \(D_ 4\) symmetry | 1993-04-01 | Paper |
| Homoclinic orbits for eventually autonomous planar flows | 1993-01-16 | Paper |
| Global existence theory for a generalized Ginzburg-Landau equation | 1992-12-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4011260 | 1992-09-27 | Paper |
| Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center | 1992-06-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3973051 | 1992-06-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3976699 | 1992-06-26 | Paper |
| Knotted periodic orbits in suspensions of Smale's horseshoe: Extended families and bifurcation sequences | 1992-06-25 | Paper |
| Bifurcation from O(2) symmetric heteroclinic cycles with three interacting modes | 1992-06-25 | Paper |
| Intermittent dynamics in simple models of the turbulent wall layer | 1991-01-01 | Paper |
| The effect of modeled drag reduction on the wall region | 1990-01-01 | Paper |
| Random Perturbations of Heteroclinic Attractors | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3481372 | 1990-01-01 | Paper |
| Noise induced intermittency in a model of a turbulent boundary layer | 1989-01-01 | Paper |
| Application of dynamical system theory to coherent structures in the wall region | 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 |
| Spatially complex equilibria of buckled rods | 1988-01-01 | Paper |
| The dynamics of coherent structures in the wall region of a turbulent boundary layer | 1988-01-01 | Paper |
| Bifurcation to Badly Ordered Orbits in One-Parameter Families of Circle Maps or Angels Fallen from the Devil's Staircase | 1988-01-01 | Paper |
| Structurally stable heteroclinic cycles | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3789924 | 1988-01-01 | Paper |
| Errata: Homoclinic Orbits in Slowly Varying Oscillators | 1988-01-01 | Paper |
| Nonlinear stability of axisymmetric swirling flows | 1988-01-01 | Paper |
| Bifurcation to rotating Cantor sets in maps of the circle | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4203852 | 1988-01-01 | Paper |
| Evidence for homoclinic orbits as a precursor to chaos in a magnetic pendulum | 1987-01-01 | Paper |
| Periodic Orbits in Slowly Varying Oscillators | 1987-01-01 | Paper |
| Homoclinic Orbits in Slowly Varying Oscillators | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3767167 | 1987-01-01 | Paper |
| Knotted periodic orbits in suspensions of annulus maps | 1987-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3802292 | 1987-01-01 | Paper |
| Dynamical Systems in Chaos: Some Recent Books | 1987-01-01 | Paper |
| Resonance bands in a two degree of freedom Hamiltonian system | 1986-01-01 | Paper |
| Knotted periodic orbits in suspensions of Smale's horseshoe: period multiplying and cabled knots | 1986-01-01 | Paper |
| Spatial structure of time-periodic solutions of the Ginzburg-Landau equation | 1986-01-01 | Paper |
| Josephson's junction, annulus maps, Birkhoff attractors, horseshoes and rotation sets | 1986-01-01 | Paper |
| Chaotic motions in a weakly nonlinear model for surface waves | 1986-01-01 | Paper |
| Knotted periodic orbits in suspensions of Smale's horseshoe: torus knots and bifurcation sequences | 1985-01-01 | Paper |
| The existence of arbitrarily many distinct periodic orbits in a two degree of freedom Hamiltonian system | 1985-01-01 | Paper |
| Dynamics of a Nonlinear Oscillator With Feedback Control I: Local Analysis | 1985-01-01 | Paper |
| Repeated Resonance and Homoclinic Bifurcation in a Periodically Forced Family of Oscillators | 1984-01-01 | Paper |
| ON A PAINLEVÉ-TYPE BOUNDARY-VALUE PROBLEM | 1984-01-01 | Paper |
| Some remarks on chaotic particle paths in time-periodic, three-dimensional swirling flows | 1984-01-01 | Paper |
| On linearly coupled relaxation oscillations | 1984-01-01 | Paper |
| Nonlinear oscillations, dynamical systems, and bifurcations of vector fields | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3314618 | 1983-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3950014 | 1983-01-01 | Paper |
| The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: a mathematical model | 1982-01-01 | Paper |
| Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom | 1982-01-01 | Paper |
| The dynamics of repeated impacts with a sinusoidally vibrating table | 1982-01-01 | Paper |
| On a second-order boundary value problem arising in combustion theory | 1982-01-01 | Paper |
| The Existence of One Dimensional Steady Detonation Waves in a Simple Model Problem | 1982-01-01 | Paper |
| Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems | 1982-01-01 | Paper |
| A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam | 1981-01-01 | Paper |
| Errata and Addenda: Averaging and Chaotic Motions in Forced Oscillations | 1981-01-01 | Paper |
| Global stability of the Burgers’ vortex | 1981-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3965307 | 1981-01-01 | Paper |
| A strange family of three-dimensional vector fields near a degenerate singularity | 1980-01-01 | Paper |
| Periodic, nonperiodic and irregular motions in a Hamiltonian system | 1980-01-01 | Paper |
| Bifurcation of periodic motions in two weakly coupled van der Pol oscillators | 1980-01-01 | Paper |
| Phase portraits and bifurcations of the non-linear oscillator: \(x+(\alpha+\gamma x^ 2)x'+\beta x+\delta x^ 3=0\) | 1980-01-01 | Paper |
| Averaging and Chaotic Motions in Forced Oscillations | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3935182 | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3935895 | 1980-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4743116 | 1980-01-01 | Paper |
| A nonlinear oscillator with a strange attractor | 1979-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3867302 | 1979-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3878005 | 1979-01-01 | Paper |
| A magnetoelastic strange attractor | 1979-01-01 | Paper |
| Domains of Stability in a Wind-Induced Oscillation Problem | 1979-01-01 | Paper |
| Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis | 1978-01-01 | Paper |
| Bifurcations of the forced van der Pol oscillator | 1978-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4159687 | 1978-01-01 | Paper |
| Pipes Supported at Both Ends Cannot Flutter | 1978-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4192718 | 1978-01-01 | Paper |
| Behaviour of an oscillator with even non-linear damping | 1977-01-01 | Paper |
| 'Strange' phenomena in dynamical systems and their physical implications | 1977-01-01 | Paper |
| Bifurcations to divergence and flutter in flow-induced oscillations: A finite dimensional analysis | 1977-01-01 | Paper |
| The bifurcations of duffing's equation: An application of catastrophe theory | 1976-01-01 | Paper |
