Analysis of Bivariate Coupling by Means of Recurrence

DOI10.1007/978-3-540-75632-3_5zbMath1272.37034OpenAlexW129551481MaRDI QIDQ2847942

Marco Thiel, Andreas Groth, Christoph Bandt, M. Carmen Romano, Norbert Marwan, Michael G. Rosenblum, Juergen Kurths

Publication date: 25 September 2013

Published in: Understanding Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-75632-3_5

Mathematics Subject Classification ID

Time series analysis of dynamical systems (37M10) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Synchronization of solutions to ordinary differential equations (34D06)

Related Items

Approximation of diagonal line based measures in recurrence quantification analysis, RECURRENCE-BASED TIME SERIES ANALYSIS BY MEANS OF COMPLEX NETWORK METHODS, Complex network approach for recurrence analysis of time series, Detecting causal relations in time series with the new cross Markov matrix technique

Uses Software

• K2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear analysis of bivariate data with cross recurrence plots
• Embedology
• Optimal tests for autoregressive models based on autoregression rank scores
• Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients
• An equation for continuous chaos
• Multivariate recurrence plots
• The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems
• On the Theory of Scales of Measurement
• Comments on the stabilization of nonlinear systems by adding an integrator
• Order Patterns in Time Series
• Biological Sequence Analysis
• Kendall's tau for serial dependence
• Deterministic Nonperiodic Flow
• PARALLELIZING GRAMMATICAL FUNCTIONS: P600 AND P345 REFLECT DIFFERENT COST OF REANALYSIS
• Entropy of interval maps via permutations
• Estimation of dynamical invariants without embedding by recurrence plots