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math.DS2020
One-dimensional dynamical systems type delta over Integral Domains
Ronald Orozco López
In this paper, autonomous differential equations type delta of order one on integral domains are defined. For this we will use the autonomous ring defined on the Hurwitz expansion…
math.DS2020
Ring of flows of one-dimensional differential equations
Ronald Orozco López
In this article, the ring of flows of autonomous differential equations of order one on integral domains is constructed. First, we build the autonomous ring $\Opa(\hurw_{R}[[x]])$…
math.DS2018
Ring of Flows of -dimensional Autonomous Dynamical Systems
Ronald Orozco López
We construct a ring of flows where we can decompose autonomous nonlinear dynamical systems into smaller parts, then solve each part and finally put everything together to obtain th…