Article

On the Geometry of Hamiltonian Symmetries

Narmanov AbdigapparFaculty of Mathematics, National University of Uzbekistan, Tashkent, 100174, Tashkent, UzbekistanParmonov HamidFaculty of Mathematics, National University of Uzbekistan, Tashkent, 100174, Tashkent, Uzbekistan

Mathematics and Statisticsjournal2020en

ABI

Abstract

The problem of integrating equations of mechanics is the most important task of mathematics and mechanics. Before Poincare's book "Curves Defined by Differential Equations", integration tasks were considered as analytical problems of finding formulas for solutions of the equation of motion. After the appearance of this book, it became clear that the integration problems are related to the behavior of the trajectories as a whole. This, of course, stimulated methods of qualitative theory of differential equations.

Topics

Control and Stability of Dynamical Systems Algebraic and Geometric Analysis Homotopy and Cohomology in Algebraic Topology

Identifiers

DOI: 10.13189/ms.2020.080307

Citations and references

Cited by 1 8 references

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