Skip to content
Rider Library Catalog
You are not logged in |Login  
Add to My Lists Export MARC Display Return To Browse
     
Limit search to available items
Record:   Prev Next
Resources
More Information
Bestseller
BestsellerE-book
Author Awrejcewicz, J. (Jan)

Title Smooth and nonsmooth high dimensional chaos and the melnikov-type methods / Jan Awrejcewicz, Mariusz M. Holicke.

Publication Info. Singapore ; Hackensack, NJ : World Scientific, [2007]
©2007
Online access
Online eBook. Access restricted to current Rider University students, faculty, and staff.
Instructions for reading/downloading this eBook

Item Status

Description 1 online resource (x, 307 pages) : illustrations (some color).
Physical Medium polychrome
Description text file
Series World Scientific series on nonlinear science. Series A ; v. 60
World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 60.
Bibliography Includes bibliographical references (pages 285-289) and index.
Contents 1. A role of the Melnikov-type methods in applied sciences -- 2. Classical Melnikov approach -- 3. Homoclinic chaos criterion in a rotated froude pendulum with dry fiction -- 4. Smooth and nonsmooth dynamics of a 1uasi-autonomous oscillator with coulomb and viscous frictions -- 5. Application of the Melnikov-Gruendler method to mechanical systems -- 6. A self-excited spherical pendulum -- 7. A double self-excited duffing-type oscillator -- 8. A triple self-excited duffing-type oscillator.
Summary This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections, it is devoted only to the analysis of three-dimensional systems (in the case of mechanics, they represent one-degree-of-freedom nonautonomous systems). This book extends the classical Melnikov's approach to the study of high dimensional dynamical systems, and uses simple models of dry friction to analytically predict the occurrenc.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Chaotic behavior in systems.
Chaotic behavior in systems.
Differentiable dynamical systems.
Differentiable dynamical systems.
Nonlinear oscillators.
Nonlinear oscillators.
Genre/Form Electronic books.
Electronic books.
Added Author Holicke, Mariusz M.
Other Form: Print version: Awrejcewicz, J. (Jan). Smooth and nonsmooth high dimensional chaos and the melnikov-type methods. Singapore ; Hackensack, NJ : World Scientific, ©2007 9812709096 9789812709097 (DLC) 2008295967 (OCoLC)170923078
ISBN 9789812709103 (electronic book)
981270910X (electronic book)

Library Links

Example

Search Tools