RECONSTRUCTING DYNAMICS FROM OBSERVABLES: THE ISSUE OF THE DELAY PARAMETER REVISITED

DOI10.1142/S0218127407019913zbMath1143.37333MaRDI QIDQ3520713

Anastasios A. Tsonis

Publication date: 26 August 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

chaosnonlinear dynamicsattractor reconstructiondimension estimates

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10) Dimension theory of smooth dynamical systems (37C45)

Related Items (1)

Re-evaluating the performance of the nonlinear prediction error for the detection of deterministic dynamics

Cites Work

• Testing for nonlinearity in time series: the method of surrogate data
• Measuring the strangeness of strange attractors
• Finite correlation dimension for stochastic systems with power-law spectra
• Testing for scaling in natural forms and observables
• LYAPUNOV EXPONENTS IN CHAOTIC SYSTEMS: THEIR IMPORTANCE AND THEIR EVALUATION USING OBSERVED DATA
• Deterministic Nonperiodic Flow
• Is the Geometry of Nature Fractal?

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