A support bound for the minimal differential equation of a polynomial observation of a polynomial dynamical system, generalized to arbitrary polynomial outputs and symbolic parameters.
Bounds for D-Algebraic Closure Properties
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abstract
We provide bounds on the size of polynomial differential equations obtained by executing closure properties for D-algebraic functions. While it is easy to obtain bounds on the order of these equations, it requires some more work to derive bounds on their degree. Here we give bounds that apply under some technical condition about the defining differential equations.
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Support bound for differential elimination in polynomial dynamical systems
A support bound for the minimal differential equation of a polynomial observation of a polynomial dynamical system, generalized to arbitrary polynomial outputs and symbolic parameters.