The Stability Criteria with Compound Matrices
The bifurcation problem is one of the most important subjects in dynamical systems. Motivated by M. Li et al. who used compound matrices to judge the stability of matrices and the existence of Hopf bifurcations in continuous dynamical systems, we obtained some effective methods to judge the Schur st...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/930576 |
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| _version_ | 1832545740694487040 |
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| author | Yazhuo Zhang Baodong Zheng |
| author_facet | Yazhuo Zhang Baodong Zheng |
| author_sort | Yazhuo Zhang |
| collection | DOAJ |
| description | The bifurcation problem is one of the most important subjects in dynamical systems. Motivated by M. Li et al. who used compound matrices to judge the stability of matrices and the existence of Hopf bifurcations in continuous dynamical systems, we obtained some effective methods to judge the Schur stability of matrices on the base of the spectral property of compound matrices, which can be used to judge the asymptotical stability and the existence of Hopf bifurcations of discrete dynamical systems. |
| format | Article |
| id | doaj-art-cb632a328cc34519b24c4acf8c19f6bb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cb632a328cc34519b24c4acf8c19f6bb2025-02-03T07:24:51ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/930576930576The Stability Criteria with Compound MatricesYazhuo Zhang0Baodong Zheng1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaThe bifurcation problem is one of the most important subjects in dynamical systems. Motivated by M. Li et al. who used compound matrices to judge the stability of matrices and the existence of Hopf bifurcations in continuous dynamical systems, we obtained some effective methods to judge the Schur stability of matrices on the base of the spectral property of compound matrices, which can be used to judge the asymptotical stability and the existence of Hopf bifurcations of discrete dynamical systems.http://dx.doi.org/10.1155/2013/930576 |
| spellingShingle | Yazhuo Zhang Baodong Zheng The Stability Criteria with Compound Matrices Abstract and Applied Analysis |
| title | The Stability Criteria with Compound Matrices |
| title_full | The Stability Criteria with Compound Matrices |
| title_fullStr | The Stability Criteria with Compound Matrices |
| title_full_unstemmed | The Stability Criteria with Compound Matrices |
| title_short | The Stability Criteria with Compound Matrices |
| title_sort | stability criteria with compound matrices |
| url | http://dx.doi.org/10.1155/2013/930576 |
| work_keys_str_mv | AT yazhuozhang thestabilitycriteriawithcompoundmatrices AT baodongzheng thestabilitycriteriawithcompoundmatrices AT yazhuozhang stabilitycriteriawithcompoundmatrices AT baodongzheng stabilitycriteriawithcompoundmatrices |