Welcome to QBee’s documentation!

qbee is a package for transforming differential equations into polynomial and quadratic polynomial forms via introducing new variables. It includes functionality for:

  • exact transformation of Ordinary Differential Equations (ODEs) into a form with a polynomial right-hand side (polynomialization).

  • exact transformation of polynomial ODEs intro a form with right-hand side being quadratic polynomials (quadratization).

  • obtaining a general (vectorized) form of new variables to quadratize linearly coupled polynomial ODEs given in vectorized form (dimension-agnostic quadratization)

  • automatized transformation of polynomialized and quadratized systems of ODEs into a form suitable for numerical integrators.

Background - Why we created qbee

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Indices and tables