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Everything about Mathieu wavelet

The Mathieu equation is a linear second-order differential equation with periodic coefficients. The French mathematician, E. LĂ©onard Mathieu, first introduced this family of differential equations, nowadays termed Mathieu equations, in his “Memoir on vibrations of an elliptic membrane” in 1868. "Mathieu functions are applicable to a wide variety of physical phenomena, e.g., diffraction, amplitude distortion, inverted pendulum, stability of a floating body, radio frequency quadrupole, and vibration in a medium with modulated density" Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Mathieu waveletA 5-minute orientation
  2. Pick up a classic book: Algorithms in computational molecular biologyThe most-reprinted book on the subject
  3. Read the landmark paper: Design of Morlet Wavelet Neural Networks for Solving the Nonlinear Van der Pol–Mathieu–Duffing Oscillator ModelCited 12 times
  4. Go sideways: Legendre waveletA closely related topic
  5. Go sideways: Lamé functionA closely related topic

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