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...
| Authors: | ; ; |
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| Format: | Article |
| Publication date: | 2020 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:221379 |
| Online Access: | https://ddd.uab.cat/record/221379 https://dx.doi.org/urn:doi:10.1007/s40863-020-00163-7 |
| Access Level: | Open access |
| Keyword: | Limit cycles Discontinuous piecewise linear differential system Bifurcation |
| _version_ | 1878731456125075456 |
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| author | Llibre, Jaume|||0000-0002-9511-5999 |
| author2 | Oliveira, Regilene|||0000-0002-9628-5180 Rodrigues, Camila A. B. |
| author2_role | author author |
| author_browse | Llibre, Jaume|||0000-0002-9511-5999 Oliveira, Regilene|||0000-0002-9628-5180 Rodrigues, Camila A. B. |
| author_facet | Llibre, Jaume|||0000-0002-9511-5999 Oliveira, Regilene|||0000-0002-9628-5180 Rodrigues, Camila A. B. |
| author_role | author |
| collection | Dipòsit Digital de Documents de la UAB |
| 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_2ff944e9392bfcd86d4e843fdfc2b7d5 |
| 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:221379 |
| publishDate | 2020 |
| publishDateSort | 2020 |
| reponame_str | Dipòsit Digital de Documents de la UAB |
| spelling | 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 |
| 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 | 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_short | Limit cycles for two classes of control piecewise linear differential systems |
| title_sort | Limit cycles for two classes of control piecewise linear differential systems |
| topic | Limit cycles Discontinuous piecewise linear differential system Bifurcation |
| topic_facet | Limit cycles Discontinuous piecewise linear differential system Bifurcation |
| url | https://ddd.uab.cat/record/221379 https://dx.doi.org/urn:doi:10.1007/s40863-020-00163-7 |