Tone colour in music and bifurcation control

DOI10.1016/j.jde.2022.04.011zbMath1498.34133OpenAlexW4224272784MaRDI QIDQ2135150

Ahmad Shoghi, Majid Gazor

Publication date: 4 May 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.04.011

zbMATH Keywords

harmonic manifoldsharmonic asymptotic setsHopf oscillatorstemporal envelope and hysteresis cycletimbre analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Hysteresis for ordinary differential equations (34C55) Bifurcation control of ordinary differential equations (34H20) Mathematics and music (00A65)

Related Items (3)

Normal forms of double Hopf oscillators with radial nonlinearities ⋮ The infinite level normal forms for non-resonant double Hopf singularities ⋮ Leaf-normal form classification for \(n\)-Tuple Hopf singularities

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