| Publication | Date of Publication | Type |
|---|
| Analysis of tidal flows through the Strait of Gibraltar using Dynamic Mode Decomposition | 2023-11-02 | Paper |
| Fractal Basins as a Mechanism for the Nimble Brain | 2023-10-31 | Paper |
| Autoencoding for the 'Good Dictionary' of eigen pairs of the Koopman Operator | 2023-06-08 | Paper |
| Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows | 2022-12-08 | Paper |
| Ensemble-based method for the inverse Frobenius-Perron operator problem: data-driven global analysis from spatiotemporal ``movie data | 2022-04-20 | Paper |
| Recurrent Neural Networks for Dynamical Systems: Applications to Ordinary Differential Equations, Collective Motion, and Hydrological Modeling | 2022-02-14 | Paper |
| Is the Finite-Time Lyapunov Exponent Field a Koopman Eigenfunction? | 2021-09-24 | Paper |
| Erratum: “On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrasts to VAR and DMD” [Chaos 31(1), 013108 (2021)] | 2021-05-20 | Paper |
| Geometric considerations of a good dictionary for Koopman analysis of dynamical systems: cardinality, ``primary eigenfunction, and efficient representation | 2021-05-14 | Paper |
| Go with the flow, on Jupiter and snow. Coherence from model-free video data without trajectories | 2021-04-29 | Paper |
| On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrast to VAR and DMD | 2021-04-26 | Paper |
| Melnikov theory for two-dimensional manifolds in three-dimensional flows | 2020-12-21 | Paper |
| ERFit: Entropic Regression Fit Matlab Package, for Data-Driven System Identification of Underlying Dynamic Equations | 2020-10-05 | Paper |
| On Explaining the Surprising Success of Reservoir Computing Forecaster of Chaos? The Universal Machine Learning Dynamical System with Contrasts to VAR and DMD | 2020-08-14 | Paper |
| Manifold learning for organizing unstructured sets of process observations | 2020-08-04 | Paper |
| Intralayer Synchronization in Evolving Multiplex Hypernetworks: Analytical Approach | 2020-05-11 | Paper |
| How entropic regression beats the outliers problem in nonlinear system identification | 2020-02-28 | Paper |
| Analysis and classification of collective behavior using generative modeling and nonlinear manifold learning | 2019-05-14 | Paper |
| On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions | 2018-10-04 | Paper |
| Bayesian optical flow with uncertainty quantification | 2018-08-24 | Paper |
| Geometric k-nearest neighbor estimation of entropy and mutual information | 2018-06-13 | Paper |
| Stretching and folding in finite time | 2018-06-04 | Paper |
| Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator | 2018-05-30 | Paper |
| An observer for an occluded reaction-diffusion system with spatially varying parameters | 2018-05-23 | Paper |
| Quantifying the Role of Folding in Nonautonomous Flows: The Unsteady Double-Gyre | 2017-12-11 | Paper |
| Causation entropy from symbolic representations of dynamical systems | 2017-11-17 | Paper |
| Regularized forecasting of chaotic dynamical systems | 2017-11-02 | Paper |
| Extended dynamic mode decomposition with dictionary learning: a data-driven adaptive spectral decomposition of the Koopman operator | 2017-07-01 | Paper |
| Detecting phase transitions in collective behavior using manifold's curvature | 2016-11-02 | Paper |
| Dimensionality reduction of collective motion by principal manifolds | 2016-05-12 | Paper |
| Spatially dependent parameter estimation and nonlinear data assimilation by autosynchronization of a system of partial differential equations | 2015-10-28 | Paper |
| A framework for estimating potential fluid flow from digital imagery | 2015-10-28 | Paper |
| Identifying manifolds underlying group motion in Vicsek agents | 2015-08-12 | Paper |
| Shape Coherence and Finite-Time Curvature Evolution | 2015-08-05 | Paper |
| A Multi-time Step Method to Compute Optical Flow with Scientific Priors for Observations of a Fluidic System | 2015-06-29 | Paper |
| Causal Network Inference by Optimal Causation Entropy | 2015-06-04 | Paper |
| A Low-Dimensional Principal Manifold as the "Attractor Backbone" of a Chaotic Beam System | 2015-06-03 | Paper |
| A concept of homeomorphic defect for defining mostly conjugate dynamical systems | 2015-03-03 | Paper |
| Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting | 2015-01-20 | Paper |
| Causation entropy identifies indirect influences, dominance of neighbors and anticipatory couplings | 2014-04-30 | Paper |
| Comparing dynamical systems by a graph matching method | 2014-04-03 | Paper |
| Applied and Computational Measurable Dynamics | 2014-01-13 | Paper |
| A Lagged Diffusivity Method for Computing Total Variation Regularized Fluid Flow | 2014-01-03 | Paper |
| RELATIVELY COHERENT SETS AS A HIERARCHICAL PARTITION METHOD | 2013-11-27 | Paper |
| THE BUNDLE PLOT: EVOLUTION OF SYMBOLIC SPACE UNDER THE SYSTEM PARAMETER CHANGES | 2013-11-27 | Paper |
| Heart rate variability as determinism with jump stochastic parameters | 2013-10-23 | Paper |
| Empirical mode decomposition/Hilbert transform analysis of postural responses to small amplitude anterior-posterior sinusoidal translations of varying frequencies | 2013-03-19 | Paper |
| A statistical approach to the use of control entropy identifies differences in constraints of gait in highly trained versus untrained runners | 2013-03-19 | Paper |
| SYNCHRONIZATION AS A PROCESS OF SHARING AND TRANSFERRING INFORMATION | 2013-03-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4901367 | 2013-01-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2907706 | 2012-09-11 | Paper |
| A mathematical model for the dynamics and synchronization of cows | 2011-12-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3173968 | 2011-10-11 | Paper |
| Dimensional implications of dynamical data on manifolds to empirical KL analysis | 2010-12-14 | Paper |
| On comparing dynamical systems by defective conjugacy: A symbolic dynamics interpretation of commuter functions | 2010-05-05 | Paper |
| Image Edge Respecting Denoising with Edge Denoising by a Designer Nonisotropic Structure Tensor Method | 2010-02-24 | Paper |
| Graduated adaptive image denoising: Local compromise between total variation and isotropic diffusion | 2009-07-24 | Paper |
| Basis Markov Partitions and Transition Matrices for Stochastic Systems | 2009-04-30 | Paper |
| Constructing Generalized Synchronization Manifolds by Manifold Equation | 2009-04-30 | Paper |
| The infinitesimal operator for the semigroup of the Frobenius-Perron operator from image sequence data: Vector fields and transport barriers from movies | 2009-04-30 | Paper |
| Control entropy: a complexity measure for nonstationary signals | 2009-03-30 | Paper |
| ACTIVE AEROELASTIC CONTROL OF LIFTING SURFACES VIA JET REACTION LIMITER CONTROL | 2008-05-16 | Paper |
| ATTRACTOR MODELING AND EMPIRICAL NONLINEAR MODEL REDUCTION OF DISSIPATIVE DYNAMICAL SYSTEMS | 2008-05-16 | Paper |
| Identifying stochastic basin hopping by partitioning with graph modularity | 2007-07-26 | Paper |
| Modeling and nonlinear parameter estimation with Kronecker product representation for coupled oscillators and spatiotemporal systems | 2007-04-13 | Paper |
| Sparse Radiographic Tomography and System Identification Imaging from Single View, Multiple Time Sample Density Plots | 2007-01-18 | Paper |
| Random talk: Random walk and synchronizability in a moving neighborhood network | 2007-01-09 | Paper |
| A dual-synchrony chaotic communication scheme | 2006-10-12 | Paper |
| STABILITY OF ORDER: AN EXAMPLE OF HORSESHOES "NEAR" A LINEAR MAP | 2006-06-23 | Paper |
| CONTROLLING CHAOS AND THE INVERSE FROBENIUS–PERRON PROBLEM: GLOBAL STABILIZATION OF ARBITRARY INVARIANT MEASURES | 2006-06-23 | Paper |
| MODEL SELECTION, CONFIDENCE AND SCALING IN PREDICTING CHAOTIC TIME-SERIES | 2006-06-23 | Paper |
| THE PATH TOWARDS A LONGER LIFE: ON INVARIANT SETS AND THE ESCAPE TIME LANDSCAPE | 2006-06-23 | Paper |
| Sufficient Conditions for Fast Switching Synchronization in Time-Varying Network Topologies | 2006-06-01 | Paper |
| One-dimensional continuous-time quantum walks | 2005-08-22 | Paper |
| Statistics of cycles: how loopy is your network? | 2005-06-23 | Paper |
| Communication and synchronization in disconnected networks with dynamic topology: Moving neighborhood networks | 2005-05-09 | Paper |
| REVIEW OF CHAOS COMMUNICATION BY FEEDBACK CONTROL OF SYMBOLIC DYNAMICS | 2005-03-08 | Paper |
| A NEW AND SIMPLE CHAOS TOY | 2004-08-09 | Paper |
| Application of Bifurcation Analysis to Power Systems | 2004-03-07 | Paper |
| Stochastic global bifurcation in perturbed Hamiltonian systems | 2004-02-23 | Paper |
| Low-dimensional chaos in high-dimensional phase space: How does it occur? | 2004-01-14 | Paper |
| Feedback control with finite accuracy: more knowledge and better control for free | 2003-04-09 | Paper |
| Convergence analysis of Davidchack and Lai's algorithm for finding periodic orbits | 2003-03-19 | Paper |
| Probability density functions of some skew tent maps | 2002-12-05 | Paper |
| A manifold independent approach to understanding transport in stochastic dynamical systems | 2002-11-13 | Paper |
| Hybrid chaos synchronization and its application in information processing | 2002-08-15 | Paper |
| What symbolic dynamics do we get with a misplaced partition? On the validity of threshold crossings analysis of chaotic time-series | 2002-01-21 | Paper |
| Towards complete detection of unstable periodic orbits in chaotic systems | 2001-08-21 | Paper |
| Communication with chemical chaos in the presence of noise | 2001-08-15 | Paper |
| On the entropy devil's staircase in a family of gap-tent maps | 2000-04-03 | Paper |
| Controlling chaotic transport through recurrence | 1995-03-09 | Paper |
| Breakup of invariant tori for the four-dimensional semi-standard map | 1994-01-19 | Paper |
