Kinetic realization of delayed polynomial dynamical models
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DOI: 10.1016/j.ifacol.2019.07.008
Abstract: Abstract In this paper, we study the kinetic realization problem of nonnegative delayed polynomial systems. Given a set of delayed polynomial differential equations, the task is to assign a chemical reaction network structure that realizes… read more here.
Keywords: realization delayed; delayed polynomial; kinetic realization; polynomial dynamical ... See more keywords
Preperiodic points of polynomial dynamical systems over finite fields
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DOI: 10.1142/s1793042124501124
Abstract: For a prime $p$, positive integers $r,n$, and a polynomial $f$ with coefficients in $\mathbb{F}_{p^r}$, let $W_{p,r,n}(f)=f^n\left(\mathbb{F}_{p^r}\right)\setminus f^{n+1}\left(\mathbb{F}_{p^r}\right)$. As $n$ varies, the $W_{p,r,n}(f)$ partition the set of strictly preperiodic points of the dynamical system induced… read more here.
Keywords: finite fields; polynomial dynamical; dynamical systems; points polynomial ... See more keywords