Resonances for Kovalevskaya exponents and their memory of some tensor laws of conservation
type: Item
instance of: scholarly article
title: Resonances for Kovalevskaya exponents and their memory of some tensor laws of conservation
zbMATH Open document ID: 0887.70003
published in: Moscow University Mechanics Bulletin
publication date: 1997-10-13T00:00:00Z
review text: The author considers the system of differential equations \({dx_i\over dt}= v_i(x)\), \(1\leq i\leq n\). It is supposed that this system is invariant under substitution \(t\to\lambda^{-1}t\), \(x_k\to\lambda^{g_k} x_k\), \(1\leq k\leq n\), \(\lambda,g_k\in\mathbb{R}\). The connections between Kovalevskaya exponents and conservation laws of the above system are established.
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 70E99
zbMATH DE Number: 1028387
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: invariance under substitution
author: S. T. Sadètov
reviewed by: Lev A. Sakhnovich
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1028387