Two types of chaos in nonlinear mechanics
type: Item
instance of: scholarly article
title: Two types of chaos in nonlinear mechanics
zbMATH Open document ID: 0584.73031
DOI: 10.1016/0020-7462(85)90038-1
author: Michail Zak
published in: International Journal of Non-Linear Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The author explains that chaos in deterministic mechanical systems can occur due to two different types of instability, namely, either by a Lyapunov type instability or a Hadamard type instability. In the definition of the author the former leads to weak and the latter to strong chaos. Geometrical explanations and physical examples of both types are given.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 70K20
zbMATH DE Number: 3936619
zbMATH Keywords: weak chaos
zbMATH Keywords: deterministic mechanical systems
zbMATH Keywords: Lyapunov type instability
zbMATH Keywords: Hadamard type instability
zbMATH Keywords: strong chaos
reviewed by: Hans Troger
MaRDI profile type: Publication
full work available at URL: 0020-7462(85)90038-1
OpenAlex ID: W2045180634
description: scientific article; zbMATH DE number 3936619