The geometric lorenz attractor is a homoclinic class

An attractor is a transitive set to which all nearby positiveorbits converge. An example of an attractor is the geometric Lorenz attractor [GH]. In this paper we prove that the geometric Lorenz attractor is a homoclinic class.

Autores:
Bautista, Serafín
Tipo de recurso:
Article of journal
Fecha de publicación:
2004
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73524
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73524
http://bdigital.unal.edu.co/38000/
Palabra clave:
Attractors
Flows
Periodic Orbits.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:An attractor is a transitive set to which all nearby positiveorbits converge. An example of an attractor is the geometric Lorenz attractor [GH]. In this paper we prove that the geometric Lorenz attractor is a homoclinic class.