ON THE WAVELET TRANSFORM APPLICATION TO A STUDY OF CHAOTIC VIBRATIONS OF THE INFINITE LENGTH FLEXIBLE PANELS DRIVEN LONGITUDINALLY

DOI10.1142/S0218127409024803zbMath1182.74125MaRDI QIDQ5305130

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Publication date: 19 March 2010

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

zbMATH Keywords

waveletsstabilitychaosplate strip

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Stability of dynamical problems in solid mechanics (74H55) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• Unnamed Item
• Refinements of damage detection methods based on wavelet analysis of dynamical shapes
• Nonlinear and chaotic behavior of structural system investigated by wavelet transform techniques
• A wavelet-based approach for model and parameter identification of non-linear systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Preturbulence: A regime observed in a fluid flow model of Lorenz
• The effects of non-stationary processes on chaotic and regular responses of the Duffing oscillator
• Factoring wavelet transforms into lifting steps
• Wavelets in optimization and approximations
• Bifurcations of a thin plate-strip excited transversally and axially
• Adaptive harmonic wavelet transform with applications in vibration analysis
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
• A nonlinear oscillator with a strange attractor
• Ten Lectures on Wavelets
• Wavelets
• Wavelet analysis of time series for the Duffing oscillator: The detection of order within chaos
• Thermo-Dynamics of Plates and Shells
• Making chaotic behavior in a damped linear harmonic oscillator