On the use of synchrosqueezing transform for chaos and nonlinear dynamics analysis in fractional-order systems

DOI10.1007/978-3-030-96603-4_11zbMath1504.34122OpenAlexW4225907025MaRDI QIDQ2094230

Wagner B. Lenz, Mauricio A. Ribeiro, M. Varanis, C. Oliveira, Angelo Marcelo Tusset, José Manoel Balthazar

Publication date: 28 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-96603-4_11

zbMATH Keywords

nonlinear dynamicsfractional calculussynchrosqueezing transform

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Nonautonomous smooth dynamical systems (37C60) Fractional ordinary differential equations (34A08)

Cites Work

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• Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool
• Dynamics and control of periodic and non-periodic behavior of Duffing vibrating system with fractional damping and excited by a non-ideal motor
• Explorations in Time-Frequency Analysis

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