A review of symbolic dynamics and symbolic reconstruction of dynamical systems

Cites Work

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A non-parametric independence test using permutation entropy
Complex network approach for recurrence analysis of time series
The equality of Kolmogorov-Sinai entropy and metric permutation entropy generalized
Visibility graphs and symbolic dynamics
Symbolic dynamic analysis of complex systems for anomaly detection
Forbidden ordinal patterns in higher dimensional dynamics
A two-dimensional mapping with a strange attractor
Ergodic theory on compact spaces
Finite sample effects in sequence analysis
From template analysis to generating partitions. I: Periodic orbits, knots and symbolic encodings
From template analysis to generating partitions. II: Characterization of the symbolic encodings
Computer assisted proof of chaos in the Lorenz equations
Complexity-based permutation entropies: from deterministic time series to white noise
Recurrence plots for characterizing random dynamical systems
Border effect corrections for diagonal line based recurrence quantification analysis measures
Topological permutation entropy
How much information is contained in a recurrence plot?
Causation entropy identifies indirect influences, dominance of neighbors and anticipatory couplings
The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems
Markov partitions and \(C\)-diffeomorphisms
Ergodic theory, entropy
RECURRENCE-BASED TIME SERIES ANALYSIS BY MEANS OF COMPLEX NETWORK METHODS
Chaos on the Interval
Homoclinic tangencies, generating partitions and curvature of invariant manifolds
Faithfulness of Recurrence Plots: A Mathematical Proof
Hidden Markov Models and Dynamical Systems
Independent coordinates for strange attractors from mutual information
Finite generators of ergodic endomorphisms
On the Complexity of Finite Sequences
Delay embedding in the presence of dynamical noise
Finite generators for ergodic, measure-preserving transformations
Ergodic theory of chaos and strange attractors
Symbolic recurrence plots to analyze dynamical systems
Applied Symbolic Dynamics and Chaos
Quantifying entropy using recurrence matrix microstates
Entropy of interval maps via permutations
Estimation of Entropy and Mutual Information
Estimating the Entropy Rate of Spike Trains via Lempel-Ziv Complexity
An Introduction to Symbolic Dynamics and Coding
Permutations uniquely identify states and unknown external forces in non-autonomous dynamical systems
A Locally Optimal Algorithm for Estimating a Generating Partition from an Observed Time Series and Its Application to Anomaly Detection
Transfer entropy on symbolic recurrences
Examining k-nearest neighbour networks: Superfamily phenomena and inversion
Simple mathematical models with very complicated dynamics
Elements of Information Theory
Differentiable dynamical systems
On Entropy and Generators of Measure-Preserving Transformations
Markov Partitions for Axiom A Diffeomorphisms
What symbolic dynamics do we get with a misplaced partition? On the validity of threshold crossings analysis of chaotic time-series
Permutation group entropy: a new route to complexity for real-valued processes