• español
    • English
  • Self-archive
  • Browse
    • Communities & Collections
    • By Issue Date
    • Authors
    • Titles
    • Subjects
    • Document types
  • English 
    • español
    • English
  • Help
  • Login
 
View Item 
  •   Repositorio Institucional Universidad EAFIT
  • Investigación
  • Escuela de Ingeniería
  • CAD CAM CAE
  • Artículos
  • View Item
  •   Repositorio Institucional Universidad EAFIT
  • Investigación
  • Escuela de Ingeniería
  • CAD CAM CAE
  • Artículos
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Bifurcations and Sequences of Elements in Non-Smooth Systems Cycles

Thumbnail
View/Open
OpenAccess version (1.135Mb)
Date
2013-09
Author
Arango, Iván
Pineda, Fabio
Ruíz, Óscar
Metrics
Metadata
Show full item record
Abstract
This article describes the implementation of a novel method for detection and continuation of bifurcations in non- smooth complex dynamic systems -- The method is an alternative to existing ones for the follow-up of associated phe- nomena, precisely in the circumstances in which the traditional ones have limitations (simultaneous impact, Filippov and first derivative discontinuities and multiple discontinuous boundaries) -- The topology of cycles in non-smooth sys- tems is determined by a group of ordered segments and points of different regions and their boundaries -- In this article, we compare the limit cycles of non-smooth systems against the sequences of elements, in order to find patterns -- To achieve this goal, a method was used, which characterizes and records the elements comprising the cycles in the order that they appear during the integration process -- The characterization discriminates: a) types of points and segments; b) direction of sliding segments; and c) regions or discontinuity boundaries to which each element belongs -- When a change takes place in the value of a parameter of a system, our comparison method is an alternative to determine topo- logical changes and hence bifurcations and associated phenomena -- This comparison has been tested in systems with discontinuities of three types: 1) impact; 2) Filippov and 3) first derivative discontinuities -- By coding well-known cy- cles as sequences of elements, an initial comparison database was built -- Our comparison method offers a convenient approach for large systems with more than two regions and more than two sliding segments
Documents PDF

loading
URI
http://hdl.handle.net/10784/9673
Editor URL
American Journal of Computational Mathematics, Volume 3, Issue 3, pp 220-230
DOI
10.4236/ajcm.2013.33032
Collections
  • Artículos [45]

My Account

LoginRegister

Statistics

View Usage Statistics

universidad eafit medellin repositorio institucional

Vigilada Mineducación
Universidad con Acreditación Institucional hasta 2026
Resolución MEN 2158 de 2018

Líneas de Atención

Medellín: (57) (4) - 448 95 00
Resto del país: 01 8000 515 900
Conmutador: (57) (4) - 2619500
Carrera 49 N 7 Sur - 50
Medellín, Colombia, Suramérica

Derechos Reservados

DSpace software
copyright © 2002-2016 
Duraspace

Theme by 
@mire NV