Polynomial Dynamical Systems and Differentiation of Genus 4 Hyperelliptic Functions

2022/01/07 by E. Yu. Bunkova, Bunkova, E. Yu.
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #Complex Variables (math.CV) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2201.02462

openalex publication_date 2022/01/07 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

We give an explicit solution to the problem of differentiation of hyperelliptic functions in genus 4 case. We describe explicitly the polynomial Lie algebras and polynomial dynamical systems connected to this problem.

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