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Publication:3658782
zbMath0513.58032MaRDI QIDQ3658782
Publication date: 1981
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Dynamics induced by flows and semiflows (37C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
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embedding parameters, Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator, Unnamed Item, Neural network stochastic differential equation models with applications to financial data forecasting, Predictability of Marine Population Trajectories–the effect of delays and resource availability, The embedding problem in topological dynamics and Takens’ theorem, In Search of Determinism-Sensitive Region to Avoid Artefacts in Recurrence Plots, A strategy for the use of the cross recurrence quantification analysis, Identify the characteristic in the evolution of the causality between the gold and dollar, Forecasting of nonlinear dynamics based on symbolic invariance, Evidence of Chaos in EEG Signals: An Application to BCI, Complex dynamics with focus on the real part, Geometric noise reduction for multivariate time series, Recurrence networks—a novel paradigm for nonlinear time series analysis, Necessity and chance: deterministic chaos in ecology and evolution, Sparse Recovery and Dictionary Learning to Identify the Nonlinear Dynamical Systems: One Step Toward Finding Bifurcation Points in Real Systems, Geometric Metrics for Topological Representations, Chaotic oscillation in diffusion flame induced by radiative heat loss, Utilizing Topological Data Analysis for Studying Signals of Time-Delay Systems, Markovian nature, completeness, regularity and correlation properties of generalized Poisson-Kac processes, Equation‐free model reduction for complex dynamical systems, Manifold learning for organizing unstructured sets of process observations, Limit theorems for functionals of mixing processes with applications to $U$-statistics and dimension estimation, Dynamical properties of maps fitted to data in the noise-free limit, Topological characterization and early detection of bifurcations and chaos in complex systems using persistent homology, Detecting dynamical changes in time series by using the Jensen Shannon divergence, Model selection for dynamical systems via sparse regression and information criteria, System identification of a low-density jet via its noise-induced dynamics, The correlation dimension of returns with stochastic volatility, Takens embedding theorems for forced and stochastic systems, Revealing oscillators calculation of the dimension of attractors, NONPERIODIC OSCILLATIONS OF PRESSURE IN A SPARK IGNITION COMBUSTION ENGINE, Communication-Based on Topology Preservation of Chaotic Dynamics, Unnamed Item, Human mediotemporal EEG characteristics during propofol anesthesia, Epidemiology of Dengue Fever: A Model with Temporary Cross-Immunity and Possible Secondary Infection Shows Bifurcations and Chaotic Behaviour in Wide Parameter Regions, A hybrid symplectic principal component analysis and central tendency measure method for detection of determinism in noisy time series with application to mechanomyography, Relation between delayed feedback and delay-coupled systems and its application to chaotic lasers, Detecting directional couplings from multivariate flows by the joint distance distribution, Causality, dynamical systems and the arrow of time, Phase space reconstruction for non-uniformly sampled noisy time series, Probabilistic analysis of recurrence plots generated by fractional Gaussian noise, Chaotic Dynamics in Brain Activity: An Approach Based on Cross-Prediction Errors for Nonstationary Signals, (Quasi)Periodicity Quantification in Video Data, Using Topology, An artificial neural network noise reduction method for chaotic attractors, An investigation of nonlinear dynamics of a thermal pulse combustor, On the genericity of the observability of controlled discrete-time systems, Determinism in Financial Time Series, Nonlinear dynamics of the interaction of national income, interest rate, and price level, Kernel least mean square algorithm with constrained growth, Numerical investigation and recurrence plot analysis of pulsating magnetohydrodynamic mixed convection over a backward facing step, Compound method of time series classification, Nonlinear Laplacian spectral analysis: capturing intermittent and low‐frequency spatiotemporal patterns in high‐dimensional data, Unnamed Item, On the Correlation Dimension of Discrete Fractional Chaotic Systems, Stochastic modelling and diffusion modes for proper orthogonal decomposition models and small-scale flow analysis, Multiscale measures of phase-space trajectories, Parameter extraction with reservoir computing: Nonlinear time series analysis and application to industrial maintenance, Characterizing dynamical transitions by statistical complexity measures based on ordinal pattern transition networks, Two chaotic global models for cereal crops cycles observed from satellite in northern Morocco, Analysis and prediction of aperiodic hydrodynamic oscillatory time series by feed-forward neural networks, fuzzy logic, and a local nonlinear predictor, Quantifying chaotic dynamics from integrate-and-fire processes, On the notion of the dimension with respect to a dynamical system, A new chaotic function and its cryptographic usage, Surrogate data analysis of sleep electroencephalograms reveals evidence for nonlinearity, Assessing spatial coupling in complex population dynamics using mutual prediction and continuity statistics, Delay embedding in the presence of dynamical noise, Analysis of Bivariate Coupling by Means of Recurrence, Chaotic Analysis of the GDP Time Series, Measures of LLE of heart rate in different frequency bands: a possible measure of relative vagal and sympathetic activity, The analysis of correlation integrals in terms of extremal value theory, Testing for chaos in deterministic systems with noise, Genericity of observability of control-affine systems, Observability of autonomous discrete time non-linear systems: a geometric approach, Asynchronous and synchronous quenching of a globally unstable jet via axisymmetry breaking, Approximate and discrete Euclidean vector bundles, Persistence of Weighted Ordinal Partition Networks for Dynamic State Detection, Causal inference for empirical dynamical systems based on persistent homology, A Fast Method for Detecting Interdependence between Time Series and Its Directionality, Functional advantages of Lévy walks emerging near a critical point, Modern Koopman Theory for Dynamical Systems, The Visual Boundary Recurrence Plot: A Closer Look into the Dynamics of Recurrence Plots, Reconstructing a minimal topological dynamical system from a set of return times, Reduced-Dimension, Biophysical Neuron Models Constructed From Observed Data, Chaotic time series analysis in economics: Balance and perspectives, A class of scale-free networks with fractal structure based on subshift of finite type, Examining k-nearest neighbour networks: Superfamily phenomena and inversion, Persistent topological features of dynamical systems, Time-Delay Observables for Koopman: Theory and Applications, Diffusion maps embedding and transition matrix analysis of the large-scale flow structure in turbulent Rayleigh–Bénard convection, Iterated Integrals and Population Time Series Analysis, Can we detect clusters of chaotic dynamical networks via causation entropy?, Using curvature to select the time lag for delay reconstruction, Recurrence analysis of slow–fast systems, A Geometric Approach to the Transport of Discontinuous Densities, Reconstructing nonlinear structure in regression residuals, Local Linear Approximation of the Jacobian Matrix Better Captures Phase Resetting of Neural Limit Cycle Oscillators, On the structure of time-delay embedding in linear models of non-linear dynamical systems, Computing Controlled Invariant Sets from Data Using Convex Optimization, A probabilistic Takens theorem, On a Scalable Entropic Breaching of the Overfitting Barrier for Small Data Problems in Machine Learning, Delay Differential Analysis of Time Series, A Statistical Framework to Infer Delay and Direction of Information Flow from Measurements of Complex Systems, The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems, Interpretation of the Precision Matrix and Its Application in Estimating Sparse Brain Connectivity during Sleep Spindles from Human Electrocorticography Recordings, Delay Differential Analysis of Seizures in Multichannel Electrocorticography Data, Discovery of Nonlinear Multiscale Systems: Sampling Strategies and Embeddings, Extreme value distributions of observation recurrences, The structure of reconstructed flows in latent spaces, Assessing observability of chaotic systems using Delay Differential Analysis, Learning latent dynamics for partially observed chaotic systems, Learning dynamical systems in noise using convolutional neural networks, Fractal analysis of recurrence networks constructed from the two-dimensional fractional Brownian motions, Deep Learning for Nonlinear Time Series: Examples for Inferring Slow Driving Forces, Shortcomings of Transfer Entropy and Partial Transfer Entropy: Extending Them to Escape the Curse of Dimensionality, Dynamic interlinking between near- and far-field wakes behind a pitching–heaving airfoil, Numerical study of the effect of blockage ratio in forced convection confined flows of shear-thinning fluids, Areawise significance tests for windowed recurrence network analysis, Controlling chaotic dynamical systems, Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values, Controlling chaotic dynamical systems, Dynamic and geometric analysis of short time series: a new comparative approach to cell-based biosensors, DARWIN: An evolutionary program for nonlinear modeling of chaotic time series, Evaluation method using chaotic analysis for the model of vehicles' behavior in road traffic system, Multiscale analysis of economic time series by scale-dependent Lyapunov exponent, LYAPUNOV EXPONENTS OF THE KURAMOTO–SIVASHINSKY PDE, Application of symbolic recurrence to experimental data, from firearm prevalence to fish swimming, On the mechanism of open-loop control of thermoacoustic instability in a laminar premixed combustor, Observability of laminar bidimensional fluid flows seen as autonomous chaotic systems, Machine Learning of Time Series Using Time-Delay Embedding and Precision Annealing, On a topological criterion to select a recurrence threshold, A new peak fitting method for 1D solid-state 29Si NMR spectra based on singular spectrum analysis, Improving on transfer entropy-based network reconstruction using time-delays: Approach and validation, Thermoacoustic instability as mutual synchronization between the acoustic field of the confinement and turbulent reactive flow, Causality detection in cortical seizure dynamics using cross-dynamical delay differential analysis, A discrete dynamical system: The poor man’s magnetohydrodynamic (PMMHD) equations, A Review on Reduced Order Modeling using DMD-Based Methods, Transfer entropy on symbolic recurrences, Detecting and Predicting Tipping Points, On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrast to VAR and DMD, Chaos in the peroxidase–oxidase oscillator, Unnamed Item, Forced synchronization of quasiperiodic oscillations in a thermoacoustic system, Diverse Causality Inference in Foreign Exchange Markets, Topological Computation Analysis of Meteorological Time-Series Data, Coupling in complex systems as information transfer across time scales, On Koopman mode decomposition and tensor component analysis, Some elements for a history of the dynamical systems theory, Chaos in a melting pot, Detecting unstable periodic orbits based only on time series: When adaptive delayed feedback control meets reservoir computing, The reservoir’s perspective on generalized synchronization, Data resampling: An approach for improving characterization of complex dynamics from noisy interspike intervals, Sparse identification of nonlinear dynamics for model predictive control in the low-data limit, Investigation on the Running-In Quality at Different Rotating Speeds by Chaos Theory, Equivariant differential embeddings, Nonlinear Forecasting of the Generalized Kuramoto–Sivashinsky Equation, Chaos: From theory to applications for the 80th birthday of Otto E. Rössler, Dynamics-Adapted Cone Kernels, Transient chaotic behaviour versus periodic motion of a parametric pendulum by recurrence plots, On the Efficacy of State Space Reconstruction Methods in Determining Causality, Numerical Model Construction with Closed Observables, The non-smooth pitchfork bifurcation: a renormalization analysis, Influences of Embedding Parameters and Segment Sizes in Recursive Characteristics Analysis on Coefficients of Friction, Unsupervised Features Learning for Sampled Vector Fields, Is there a causal relationship between oil prices and tourist arrivals?, Decomposing Signals from Dynamical Systems Using Shadow Manifold Interpolation, Time-Varying Autoregression with Low-Rank Tensors, STUDY ON CHARACTERIZATION METHOD OF PHASE-POINT SATURATION BASED ON THE CAPACITY DIMENSION, Analyzing Slightly Inclined Cylindrical Binary Fluid Convection via Higher Order Dynamic Mode Decomposition, Simplicial Multivalued Maps and the Witness Complex for Dynamical Analysis of Time Series, Higher Order Dynamic Mode Decomposition, Data-Driven Learning for the Mori--Zwanzig Formalism: A Generalization of the Koopman Learning Framework, Takens-type reconstruction theorems of one-sided dynamical systems, Embedding information onto a dynamical system, Conditional space-time POD extensions for stability and prediction analysis, Emergent behavior of conjugate-coupled Stuart-Landau oscillators in directed star networks, Predicting turbulent dynamics with the convolutional autoencoder echo state network, A framework for machine learning of model error in dynamical systems, Robust optimization and validation of echo state networks for learning chaotic dynamics, Dynamics of a data-driven low-dimensional model of turbulent minimal Couette flow, Regression-Based Projection for Learning Mori–Zwanzig Operators, An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems, Physics-agnostic and physics-infused machine learning for thin films flows: modelling, and predictions from small data, CD-ROM: complemented deep -- reduced order model, Further remarks on KKL observers, Quantum process tomography of unitary maps from time-delayed measurements, A comparison of different approaches to detect the transitions from regular to chaotic motions in SMA oscillator, Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data, Bayesian nonparametric density autoregression with lag selection, Stability analysis of chaotic systems from data, Unsupervised concept drift detection for time series on Riemannian manifolds, Why topological data analysis detects financial bubbles?, Persistent homology of collider observations: when (w)hole matters, Perturbations and phase transitions in swarm optimization algorithms, Extremal event graphs: a (stable) tool for analyzing noisy time series data, Recurrence-based reconstruction of dynamic pricing attractors, SPADE4: sparsity and delay embedding based forecasting of epidemics, Data-driven reduced order models using invariant foliations, manifolds and autoencoders, Learning strange attractors with reservoir systems, Smooth rigidity for very non-algebraic expanding maps, A model‐based approach for analog spatio‐temporal dynamic forecasting, Algebraic dynamical systems in machine learning, Attractors. Then and now, Causality detection with matrix-based transfer entropy, Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values, Attractor reconstruction for nonlinear systems: A methodological note, Indistinguishable states. I: Pefect model scenario., Estimating the active dimension of the dynamics in a time series based on an information criterion, Nonlinear structures in electroencephalogram signals, Predictability: a way to characterize complexity, A robust method for detecting interdependences: Application to intracranially recorded EEG, Extraction of nonlinear dynamics from short and noisy time series, Speaker identification using nonlinear dynamical features, Synchronization likelihood: an unbiased measure of generalized synchronization in multivariate data sets, Reconstructing attractors from filtered time series, Distortions of reconstruction for chaotic attractors
