Abrarov Dmitry. Canonical integrability of the Euler-poisson equations on the canonical analytic Klein bottle: the context of gravity and real time
Natural Sciences / Mathematics / Dynamical systems
Submitted on: Oct 18, 2022, 12:37:53
Description: This article contains a significant part of the information about the exact solvability of the Euler-Poisson equations from previous author papers. The statements given in the paper are a concentrated form of the corresponding statements previous papers and in a certain part are simplified and refined. The introduction of the canonical analytic Klein bottle as a canonical structure that linearizes the initial equations allows one to additionally obtain a visual interpretation of the generalized Dzhanibekov effect and the graviton as the maximum and minimum levels of the hierarchy of solutions to the Euler-Poisson equations and also gives a geometric model of the fundamental Galois symmetry of their phase flow. The main goal of this work is to reflect the paradoxicality, but at the same time the naturalness and canonicity of the effect of exact solvability of the original strongly nonlinear and traditionally considered as unsolvable second-order ordinary differential equations.