Limit cycles for two classes of control piecewise linear differential systems
We study the bifurcation of limit cycles from the periodic orbits of 2n-dimensional linear centers x˙ = A0x when they are perturbed inside classes of continuous and discontinuous piecewise linear differential systems of control theory of the form x˙ = A0x+ ε(Ax+ ϕ(x) b), where ϕ is a continuous or d...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:221379 |
| Acceso en línea: | https://ddd.uab.cat/record/221379 https://dx.doi.org/urn:doi:10.1007/s40863-020-00163-7 |
| Access Level: | acceso abierto |
| Palabra clave: | Limit cycles Discontinuous piecewise linear differential system Bifurcation |
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oai:ddd.uab.cat:221379 |
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España |
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Limit cycles for two classes of control piecewise linear differential systems Llibre, Jaume|||0000-0002-9511-5999 Oliveira, Regilene|||0000-0002-9628-5180 Rodrigues, Camila A. B. Limit cycles Discontinuous piecewise linear differential system Bifurcation We study the bifurcation of limit cycles from the periodic orbits of 2n-dimensional linear centers x˙ = A0x when they are perturbed inside classes of continuous and discontinuous piecewise linear differential systems of control theory of the form x˙ = A0x+ ε(Ax+ ϕ(x) b), where ϕ is a continuous or discontinuous piecewise linear function, A0 is a 2n×2n matrix with only purely imaginary eigenvalues, ε is a small parameter, A is an arbitrary 2n×2n matrix, and b is an arbitrary vector of Rn. https://ddd.uab.cat/record/221379 https://dx.doi.org/urn:doi:10.1007/s40863-020-00163-7 |
| title |
Limit cycles for two classes of control piecewise linear differential systems |
| spellingShingle |
Limit cycles for two classes of control piecewise linear differential systems Llibre, Jaume|||0000-0002-9511-5999 Limit cycles Discontinuous piecewise linear differential system Bifurcation |
| title_short |
Limit cycles for two classes of control piecewise linear differential systems |
| title_full |
Limit cycles for two classes of control piecewise linear differential systems |
| title_fullStr |
Limit cycles for two classes of control piecewise linear differential systems |
| title_full_unstemmed |
Limit cycles for two classes of control piecewise linear differential systems |
| title_sort |
Limit cycles for two classes of control piecewise linear differential systems |
| author |
Llibre, Jaume|||0000-0002-9511-5999 |
| author_facet |
Llibre, Jaume|||0000-0002-9511-5999 Oliveira, Regilene|||0000-0002-9628-5180 Rodrigues, Camila A. B. |
| author_role |
author |
| author2 |
Oliveira, Regilene|||0000-0002-9628-5180 Rodrigues, Camila A. B. |
| author2_role |
author author |
| topic |
Limit cycles Discontinuous piecewise linear differential system Bifurcation |
| topic_facet |
Limit cycles Discontinuous piecewise linear differential system Bifurcation |
| description |
We study the bifurcation of limit cycles from the periodic orbits of 2n-dimensional linear centers x˙ = A0x when they are perturbed inside classes of continuous and discontinuous piecewise linear differential systems of control theory of the form x˙ = A0x+ ε(Ax+ ϕ(x) b), where ϕ is a continuous or discontinuous piecewise linear function, A0 is a 2n×2n matrix with only purely imaginary eigenvalues, ε is a small parameter, A is an arbitrary 2n×2n matrix, and b is an arbitrary vector of Rn. |
| publishDate |
2020 |
| format |
article |
| url |
https://ddd.uab.cat/record/221379 https://dx.doi.org/urn:doi:10.1007/s40863-020-00163-7 |
| language |
eng |
| eu_rights_str_mv |
openAccess |
| institution |
Universitat Autònoma de Barcelona |
| collection |
Dipòsit Digital de Documents de la UAB |
| reponame_str |
Dipòsit Digital de Documents de la UAB |
| instname_str |
Universitat Autònoma de Barcelona |
| _version_ |
1878433037569490944 |
| publishDateSort |
2020 |
| author_browse |
Llibre, Jaume|||0000-0002-9511-5999 Oliveira, Regilene|||0000-0002-9628-5180 Rodrigues, Camila A. B. |
| score |
6,9303427 |