| Publication | Date of Publication | Type |
|---|
| Identifying Nonlinear Dynamics with High Confidence from Sparse Data | 2024-02-12 | Paper |
| Computing the Conley Index: A Cautionary Tale | 2023-12-13 | Paper |
| Morse predecomposition of an ivariant set | 2023-12-13 | Paper |
| Cycling Signatures: Identifying Oscillations from Time Series using Algebraic Topology | 2023-12-07 | Paper |
| Conditioned Wiener processes as nonlinearities: a rigorous probabilistic analysis of dynamics | 2023-09-20 | Paper |
| Persistent homology with non-contractible preimages | 2022-12-01 | Paper |
| Extending Combinatorial Regulatory Network Modeling to Include Activity Control and Decay Modulation | 2022-09-21 | Paper |
| Lattice structures for attractors. III | 2022-09-16 | Paper |
| Global analysis of regulatory network dynamics: equilibria and saddle-node bifurcations | 2022-04-28 | Paper |
| Equilibria and their Stability in Networks with Steep Sigmoidal Nonlinearities | 2021-11-22 | Paper |
| A computational framework for connection matrix theory | 2021-11-05 | Paper |
| Computing Linear Extensions for Polynomial Posets Subject to Algebraic Constraints | 2021-07-23 | Paper |
| Extracting Global Dynamics of Loss Landscape in Deep Learning Models | 2021-06-14 | Paper |
| Morse Theoretic Templates for High Dimensional Homology Computation | 2021-05-20 | Paper |
| Persistent homology with non-contractible preimages | 2021-05-17 | Paper |
| Quantitative measure of memory loss in complex spatiotemporal systems | 2021-05-06 | Paper |
| Contractibility of a persistence map preimage | 2021-01-26 | Paper |
| Rational design of complex phenotype via network models | 2020-10-08 | Paper |
| Computing linear extensions for polynomial posets subject to algebraic constraints | 2020-06-03 | Paper |
| Conley Index Approach to Sampled Dynamics | 2020-04-21 | Paper |
| Combinatorial models of global dynamics: learning cycling motion from data | 2020-01-20 | Paper |
| Topological signals of singularities in Ricci flow | 2019-10-02 | Paper |
| A comparison framework for interleaved persistence modules | 2019-09-11 | Paper |
| Analysis of Kolmogorov flow and Rayleigh-Bénard convection using persistent homology | 2019-06-27 | Paper |
| Rigorous computational dynamics in the context of unknown nonlinearities | 2018-11-23 | Paper |
| Model Rejection and Parameter Reduction via Time Series | 2018-07-19 | Paper |
| Global dynamics for switching systems and their extensions by linear differential equations | 2018-02-22 | Paper |
| Global dynamics for steep nonlinearities in two dimensions | 2017-12-15 | Paper |
| Stability and uniqueness of slowly oscillating periodic solutions to Wright's equation | 2017-09-28 | Paper |
| Lattice structures for attractors. II | 2017-03-17 | Paper |
| Combinatorial Representation of Parameter Space for Switching Networks | 2016-12-16 | Paper |
| Quantifying force networks in particulate systems | 2016-11-15 | Paper |
| Discretization strategies for computing Conley indices and Morse decompositions of flows | 2016-10-31 | Paper |
| A study of rigorous ODE integrators for multi-scale set-oriented computations | 2016-05-27 | Paper |
| Conley--Morse Databases for the Angular Dynamics of Newton's Method on the Plane | 2016-05-20 | Paper |
| Efficient computation of Lyapunov functions for Morse decompositions | 2016-03-10 | Paper |
| Inducing a map on homology from a correspondence | 2016-03-03 | Paper |
| Combinatorial-topological framework for the analysis of global dynamics | 2015-09-02 | Paper |
| Global Dynamics for Steep Sigmoidal Nonlinearities in Two Dimensions | 2015-08-10 | Paper |
| A topological measurement of protein compressibility | 2015-06-30 | Paper |
| Reconstructing functions from random samples | 2015-01-29 | Paper |
| Lattice structures for attractors. I | 2015-01-29 | Paper |
| Discrete Morse theoretic algorithms for computing homology of complexes and maps | 2014-09-04 | Paper |
| Rigorous A Posteriori Computation of (Un)Stable Manifolds and Connecting Orbits for Analytic Maps | 2014-01-22 | Paper |
| Morse theory for filtrations and efficient computation of persistent homology | 2013-09-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3144579 | 2012-12-08 | Paper |
| Measuring the departures from the Boussinesq approximation in Rayleigh–Bénard convection experiments | 2012-06-15 | Paper |
| Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray–Scott Equation | 2011-11-10 | Paper |
| Global smooth solution curves using rigorous branch following | 2010-08-30 | Paper |
| Topology-guided sampling of nonhomogeneous random processes | 2010-08-18 | Paper |
| Homology and symmetry breaking in Rayleigh-Bénard convection: Experiments and simulations | 2010-03-18 | Paper |
| A Database Schema for the Analysis of Global Dynamics | 2010-01-22 | Paper |
| When activators repress and repressors activate: a qualitative analysis of the Shea-Ackers model | 2009-08-04 | Paper |
| A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems | 2009-07-29 | Paper |
| Validated continuation over large parameter ranges for equilibria of PDEs | 2009-04-03 | Paper |
| Rigorous numerics for the Cahn-Hilliard equation on the unit square | 2008-10-20 | Paper |
| Dynamics of a simple regulatory switch | 2008-08-18 | Paper |
| Validated Continuation for Equilibria of PDEs | 2008-08-14 | Paper |
| STRUCTURE OF THE ATTRACTOR OF THE CAHN–HILLIARD EQUATION ON A SQUARE | 2008-05-16 | Paper |
| Probabilistic and numerical validation of homology computations for nodal domains | 2008-03-07 | Paper |
| Singular boundary value problems via the Conley index | 2008-01-02 | Paper |
| Topological horseshoes of traveling waves for a fast-slow predator-prey system | 2007-12-19 | Paper |
| Probabilistic validation of homology computations for nodal domains | 2007-10-17 | Paper |
| Rigorous Computations of Homoclinic Tangencies | 2007-10-02 | Paper |
| Polygonal approximation of flows | 2007-08-23 | Paper |
| Topological techniques for efficient rigorous computation in dynamics | 2006-12-18 | Paper |
| TOWARDS AUTOMATED CHAOS VERIFICATION | 2006-11-01 | Paper |
| Graph approach to the computation of the homology of continuous maps | 2006-09-28 | Paper |
| An algorithmic approach to chain recurrence | 2006-09-28 | Paper |
| The conley index for fast-slow systems. II: multidimensional slow variable | 2006-07-20 | Paper |
| Convergence in competition models with small diffusion coefficients | 2005-04-18 | Paper |
| Selection of slow diffusion in a reaction diffusion model: limiting cases | 2005-03-10 | Paper |
| A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems | 2005-02-28 | Paper |
| Rigorous Numerics for Global Dynamics: A Study of the Swift--Hohenberg Equation | 2005-02-28 | Paper |
| Computational homology | 2004-03-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4550341 | 2004-02-22 | Paper |
| Computing homology | 2004-01-13 | Paper |
| Competing Species near a Degenerate Limit | 2003-09-30 | Paper |
| Spatial heterogeneity of resources versus Lotka-Volterra dynamics | 2003-03-18 | Paper |
| The evolution of dispersal rates in a heterogeneous time-periodic environment | 2002-07-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4536848 | 2002-06-25 | Paper |
| Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation | 2002-05-12 | Paper |
| Chaotic solutions in slowly varying perturbations of Hamiltonian systems with applications to shallow water sloshing | 2002-03-13 | Paper |
| Horseshoes and the Conley index spectrum | 2001-10-28 | Paper |
| Chaos in the Lorenz equations: A computer assisted proof. III: Classical parameter values | 2001-07-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4934433 | 2001-04-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4934435 | 2001-03-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4934425 | 2000-10-19 | Paper |
| The Conley index for fast-slow systems. I: One-dimensional slow variable | 2000-09-19 | Paper |
| Post-fertilization traveling waves on eggs | 2000-09-13 | Paper |
| Singular index pairs | 2000-08-30 | Paper |
| Horseshoes and the Conley index spectrum. II: The theorem is sharp | 2000-08-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4934434 | 2000-01-17 | Paper |
| An approach to practical persistence | 1999-12-16 | Paper |
| Existence of infinitely many connecting orbits in a singularly perturbed ordinary differential equation | 1998-10-15 | Paper |
| The evolution of slow dispersal rates: a reaction diffusion model | 1998-08-09 | Paper |
| Chaos in the Lorenz equations: A computer assisted proof. Part II: Details | 1998-06-14 | Paper |
| Algebraic transition matrices in the Conley index theory | 1998-03-24 | Paper |
| Connecting orbit structure of monotone solutions in the shadow system | 1998-01-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4885292 | 1997-02-19 | Paper |
| Equivalence of topological and singular transition matrices in the Conley index theory | 1997-01-13 | Paper |
| On the global dynamics of attractors for scalar delay equations | 1996-12-11 | Paper |
| Singular limits for travelling waves for a pair of equations | 1996-12-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4884960 | 1996-10-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4847946 | 1996-10-14 | Paper |
| Isolating neighborhoods and chaos | 1996-07-07 | Paper |
| Global Asymptotic Dynamics of Gradient-Like Bistable Equations | 1995-11-29 | Paper |
| Zeta functions, periodic trajectories, and the Conley index | 1995-11-22 | Paper |
| Chaos in the Lorenz equations: a computer-assisted proof | 1995-09-11 | Paper |
| A product theorem for connection matrices and the structure of connecting orbits | 1995-08-22 | Paper |
| Asymptotically Autonomous Semiflows: Chain Recurrence and Lyapunov Functions | 1995-08-21 | Paper |
| Travelling Waves for Mutualist Species | 1995-06-27 | Paper |
| Structure of the global attractor of cyclic feedback systems | 1995-04-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4278147 | 1994-12-18 | Paper |
| Dynamics on the global attractor of a gradient flow arising from the Ginzburg-Landau equation | 1994-10-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4281008 | 1994-03-10 | Paper |
| Travelling Waves in Predator-Prey Systems | 1993-12-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4033740 | 1993-05-16 | Paper |
| Dynamics of bifurcations for variational problems with \(O(3)\) equivariance: A Conley index approach | 1993-01-17 | Paper |
| Connected Simple Systems, Transition Matrices and Heteroclinic Bifurcations | 1992-11-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4011906 | 1992-09-27 | Paper |
| Homoclinic orbits in a first order superquadratic Hamiltonian system: Convergence of subharmonic orbits | 1992-06-27 | Paper |
| A dynamical system approach to a phase transition problem | 1992-06-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5202786 | 1991-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3354329 | 1991-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5750644 | 1990-01-01 | Paper |
| A predator-prey system involving group defense: a connection matrix approach | 1990-01-01 | Paper |
| On the existence of intermediate magnetohydrodynamic shock waves | 1990-01-01 | Paper |
| Homoclinic orbits in Hamiltonian systems and heteroclinic orbits in gradient and gradient-like systems | 1989-01-01 | Paper |
| Transition systems | 1989-01-01 | Paper |
| Bifurcations into pathology for Hamiltonian systems | 1988-01-01 | Paper |
| The connection matrix theory for semiflows on (not necessarily locally compact) metric spaces | 1988-01-01 | Paper |
| Existence of Generalized Homoclinic Orbits for one Parameter Families of Flows | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4206612 | 1988-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3801906 | 1987-01-01 | Paper |
