Methods and algorithms of the normalization of differential equations. Textbook. (Metody i algoritmy normalizatsii differentsial’nykh uravnenij. Uchebnoe posobie). (Russian) Zbl 0666.34002

Markeev, A. P.; Medvedev, S. V.; Sokol’skij, A. G.

Moskva: Moskovskij Aviatsionnyj Institut Im. Sergo Ordzhonikidze. 74 p. R. 0.30 (1985).

This textbook describes the normalization of nonlinear ODE in a neighbourhood of its known solution (equilibrium, periodic solution, or conditionally periodic solution). Both general systems of ODES and Hamiltonian systems which have a great significance for application in mechanics are considered here. These methods of the normalization are constructive and go to computational programs on IBM. The textbook is useful for students of applied mathematics.

Reviewer: J.Tian

MSC:

34-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations
34A34	Nonlinear ordinary differential equations and systems, general theory
34-04	Software, source code, etc. for problems pertaining to ordinary differential equations
70H05	Hamilton’s equations

Keywords:

methods and algorithms; normalization; differential equations; Hamiltonian systems; application in mechanics; computational programs