Heteroclinic, homoclinic and closed orbits in the Chen system

Bounded orbits such as closed, homoclinic and heteroclinic orbits are discussed in this work for a Lorenz- like 3D nonlinear system. For a large spectrum of the parameters the system has neither closed nor homoclinic orbits but has exactly two heteroclinic orbits, while under other constraints the s...

ver descrição completa

Detalhes bibliográficos
Autores: Tigan, Gheorghe, Llibre, Jaume|||0000-0002-9511-5999
Tipo de documento: artigo
Data de publicação:2016
País:España
Recursos:Universitat Autònoma de Barcelona
Repositório:Dipòsit Digital de Documents de la UAB
Idioma:inglês
OAI Identifier:oai:ddd.uab.cat:169472
Acesso em linha:https://ddd.uab.cat/record/169472
https://dx.doi.org/urn:doi:10.1142/S0218127416500723
Access Level:Acceso aberto
Palavra-chave:Bifurcations
Homoclinic and heteroclinic orbits
ODE systems
Descrição
Resumo:Bounded orbits such as closed, homoclinic and heteroclinic orbits are discussed in this work for a Lorenz- like 3D nonlinear system. For a large spectrum of the parameters the system has neither closed nor homoclinic orbits but has exactly two heteroclinic orbits, while under other constraints the system has symmetrical homoclinic orbits.