A brief history of Kovalevskaya exponents and modern developments
type: Item
instance of: scholarly article
title: A brief history of Kovalevskaya exponents and modern developments
zbMATH Open document ID: 0947.37031
author: Alain Goriely
published in: Regular and Chaotic Dynamics
publication date: 2000-08-30T00:00:00Z
review text: This is a survey of the history and modern applications of the Kovalevskaya exponents which are some sets of exponents associated with homogeneous solutions to nonlinear ordinary differential equations. First appeared in the famous paper by Kovalevskaya on the problem of integrability of the motion of a rigid body with a fixed point, they were reintroduced many times in relation to other problems and finally coined by this name by Harno Yoshida in 1983. In particular, the author examines their modern applications to integrability theory and nonlinear dynamics.
reviewed by: I. A. Taimanov
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37N10
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34M25
zbMATH DE Number: 1498345
zbMATH Keywords: integrable equation
zbMATH Keywords: formal solution
zbMATH Keywords: Kovalevskaya exponents
zbMATH Keywords: motion of a rigid body
zbMATH Keywords: integrability theory
MaRDI profile type: Publication
full work available at URL: rd2000v005n01abeh000120
OpenAlex ID: W4256460671
DOI: 10.1070/RD2000V005N01ABEH000120
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description: scientific article; zbMATH DE number 1498345