The largest Lyapunov exponent of chaotic dynamical system in scale space and its application

DOI10.1063/1.1596556zbMath1080.37537OpenAlexW2013073014WikidataQ73879693 ScholiaQ73879693MaRDI QIDQ5706384

Zheng-Hua Dai, Zun-Hong Yu, Hai-Feng Liu, Yong-Zhe Yang

Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1596556

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (5)

Estimating the largest Lyapunov exponent and noise level from chaotic time series ⋮ On wavelet analysis of the \(n\)th order fractional Brownian motion ⋮ Assessing local turbulence strength from a time series ⋮ High precision numerical estimation of the largest Lyapunov exponent ⋮ LYAPUNOV-EXPONENT SPECTRUM FROM NOISY TIME SERIES

Cites Work

• The Hausdorff dimension of very weak self-similar fractals described by the Haar wavelet system
• Non-uniform time operator, chaos and wavelets on the interval
• Moment-wavelet quantization: a first principles analysis of quantum mechanics through continuous wavelet transform theory
• Determining Lyapunov exponents from a time series
• Oscillating singularities on Cantor sets: A grand-canonical multifractal formalism
• The wavelet transform of periodic function and nonstationary periodic function
• A new method to estimate the oscillating singularity exponents in locally self-similar functions
• A practical method for calculating largest Lyapunov exponents from small data sets
• Analysis of turbulence in the orthonormal wavelet representation
• Singularity detection and processing with wavelets
• Multiscale analysis from turbulent time series with wavelet transform

This page was built for publication: The largest Lyapunov exponent of chaotic dynamical system in scale space and its application