Numerical simulation of routes to chaos in dissipative oscillators with one degree of freedom
type: Item
instance of: scholarly article
title: Numerical simulation of routes to chaos in dissipative oscillators with one degree of freedom
zbMATH Open document ID: 0951.65142
author: T. V. Zavrazhina
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-03T00:00:00Z
review text: The author proposes an algorithm for the numerical analysis of evolution and scaling properties of subharmonic motions in nonlinear dynamical systems that develop in the course of their transitions to chaos. The algorithm is based on the joint application of the continuation method, the Lyapunov and Floquet stability criteria, bifurcation and scaling theories, and the Everhart method of high-accuracy numerical integration. A number of new universal constants are obtained.
Mathematics Subject Classification ID: 65P20
Mathematics Subject Classification ID: 37M05
Mathematics Subject Classification ID: 37J20
Mathematics Subject Classification ID: 37J25
zbMATH DE Number: 1467893
zbMATH Keywords: simulation
zbMATH Keywords: dynamical systems
zbMATH Keywords: chaos
zbMATH Keywords: algorithm
zbMATH Keywords: continuation method
zbMATH Keywords: stability
zbMATH Keywords: bifurcation
zbMATH Keywords: scaling
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1467893