Wavelet analysis of time series for the Duffing oscillator: The detection of order within chaos

DOI10.1103/PhysRevLett.69.2607zbMath0968.70501WikidataQ74518092 ScholiaQ74518092MaRDI QIDQ4491984

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Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A theory for multiresolution signal decomposition: the wavelet representation
• Orthonormal bases of compactly supported wavelets
• The wavelet transform, time-frequency localization and signal analysis
• Ten Lectures on Wavelets
• Wavelets and Dilation Equations: A Brief Introduction

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