Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields
We completely characterize the global phase portraits in the Poincaré disk for all planar Hamiltonian vector fields with linear plus cubic homogeneous terms having a nilpotent saddle at the origin.
| Autores: | ; |
|---|---|
| Tipo de documento: | Artigo |
| Data de publicação: | 2022 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | Inglês |
| OAI Identifier: | oai:ddd.uab.cat:257113 |
| Acesso em linha: | https://ddd.uab.cat/record/257113 https://dx.doi.org/urn:doi:10.1016/j.nonrwa.2021.103451 |
| Nível de acesso: | Acesso aberto |
| Palavra-chave: | Polynomial Hamiltonian systems Nilpotent saddle Phase portrait Poincaré compactification |
| _version_ | 1878737875247300608 |
|---|---|
| author | Corbera Subirana, Montserrat|||0000-0002-0367-9667 |
| author2 | Valls, Clàudia|||0000-0001-8279-1229 |
| author2_role | author |
| author_browse | Corbera Subirana, Montserrat|||0000-0002-0367-9667 Valls, Clàudia|||0000-0001-8279-1229 |
| author_facet | Corbera Subirana, Montserrat|||0000-0002-0367-9667 Valls, Clàudia|||0000-0001-8279-1229 |
| author_role | author |
| collection | Dipòsit Digital de Documents de la UAB |
| description | We completely characterize the global phase portraits in the Poincaré disk for all planar Hamiltonian vector fields with linear plus cubic homogeneous terms having a nilpotent saddle at the origin. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_a6497c3f75b6e397a34ea7edc9662bf5 |
| institution | Universitat Autònoma de Barcelona |
| instname_str | Universitat Autònoma de Barcelona |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:ddd.uab.cat:257113 |
| publishDate | 2022 |
| publishDateSort | 2022 |
| reponame_str | Dipòsit Digital de Documents de la UAB |
| spelling | Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields Corbera Subirana, Montserrat|||0000-0002-0367-9667 Valls, Clàudia|||0000-0001-8279-1229 Polynomial Hamiltonian systems Nilpotent saddle Phase portrait Poincaré compactification We completely characterize the global phase portraits in the Poincaré disk for all planar Hamiltonian vector fields with linear plus cubic homogeneous terms having a nilpotent saddle at the origin. https://ddd.uab.cat/record/257113 https://dx.doi.org/urn:doi:10.1016/j.nonrwa.2021.103451 |
| spellingShingle | Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields Corbera Subirana, Montserrat|||0000-0002-0367-9667 Polynomial Hamiltonian systems Nilpotent saddle Phase portrait Poincaré compactification |
| title | Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields |
| title_full | Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields |
| title_fullStr | Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields |
| title_full_unstemmed | Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields |
| title_short | Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields |
| title_sort | Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields |
| topic | Polynomial Hamiltonian systems Nilpotent saddle Phase portrait Poincaré compactification |
| topic_facet | Polynomial Hamiltonian systems Nilpotent saddle Phase portrait Poincaré compactification |
| url | https://ddd.uab.cat/record/257113 https://dx.doi.org/urn:doi:10.1016/j.nonrwa.2021.103451 |