THE SPECTRUM OF CHAOTIC TIME SERIES (I): FOURIER ANALYSIS

DOI10.1142/S0218127411029136zbMath1248.37072MaRDI QIDQ3165780

Yu Huang, Goong Chen, Marco A. Roque-Sol, Sze-Bi Hsu

Publication date: 19 October 2012

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

zbMATH Keywords

total variationSobolev spacesFourier coefficientstopological entropyLi-Yorke chaos

Mathematics Subject Classification ID

Time series analysis of dynamical systems (37M10) Topological entropy (37B40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Dynamical systems involving maps of the interval (37E05)

Related Items

THE SPECTRUM OF CHAOTIC TIME SERIES (II): WAVELET ANALYSIS, Chaotic Oscillations of Solutions of the Klein–Gordon Equation Due to Imbalance of Distributed and Boundary Energy Flows

Cites Work

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• Rapid fluctuations of chaotic maps on \(\mathbb {R}^N\)
• Dynamics in one dimension
• On Bowen's definition of topological entropy
• THE SPECTRUM OF CHAOTIC TIME SERIES (II): WAVELET ANALYSIS
• On Devaney's Definition of Chaos
• Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. Part I: Controlled hysteresis
• GROWTH RATES OF TOTAL VARIATIONS OF SNAPSHOTS OF THE 1D LINEAR WAVE EQUATION WITH COMPOSITE NONLINEAR BOUNDARY REFLECTION RELATIONS
• CHAOTIC BEHAVIOR OF INTERVAL MAPS AND TOTAL VARIATIONS OF ITERATES
• Chaotic Vibrations of the One-Dimensional Wave Equation Due to a Self-Excitation Boundary Condition.