Transcritical and zero-Hopf bifurcations in the Genesio system
In this paper we study the existence of transcritical and zero--Hopf bifurcations of the third--order ordinary differential equation a b c x - x^2 = 0, called the Genesio equation, which has a unique quadratic nonlinear term and three real parameters. More precisely, writing this differential equati...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2017 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:182513 |
| Acesso em linha: | https://ddd.uab.cat/record/182513 https://dx.doi.org/urn:doi:10.1007/s11071-016-3259-2 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Averaging theory Genesio system Transcritical bifurcation Zero--Hopf bifurcation |
| Resumo: | In this paper we study the existence of transcritical and zero--Hopf bifurcations of the third--order ordinary differential equation a b c x - x^2 = 0, called the Genesio equation, which has a unique quadratic nonlinear term and three real parameters. More precisely, writing this differential equation as a first order differential system in \R^3 |
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