Oscillators Near Hopf Bifurcation
In this paper the differential transformation method (DTM) is employed to solve a system of linear differential equations derived for energy optimal control theory and nonlinear differential equations and their systems for oscillators near Hopf bifurcation. They are given by differential equations i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Žilina
2015-08-01
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| Series: | Communications |
| Subjects: | |
| Online Access: | https://komunikacie.uniza.sk/artkey/csl-201503-0014_oscillators-near-hopf-bifurcation.php |
| _version_ | 1797846924118720512 |
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| author | Helena Samajova Tongxing Li |
| author_facet | Helena Samajova Tongxing Li |
| author_sort | Helena Samajova |
| collection | DOAJ |
| description | In this paper the differential transformation method (DTM) is employed to solve a system of linear differential equations derived for energy optimal control theory and nonlinear differential equations and their systems for oscillators near Hopf bifurcation. They are given by differential equations in a complex plane. Different types of forced terms are considered. The approximate solutions are given in the form of series with required accuracy. Some numerical examples are provided. |
| first_indexed | 2024-04-09T18:03:54Z |
| format | Article |
| id | doaj.art-d47cd0b338484cedaf9c93a4f8cb6d23 |
| institution | Directory Open Access Journal |
| issn | 1335-4205 2585-7878 |
| language | English |
| last_indexed | 2024-04-09T18:03:54Z |
| publishDate | 2015-08-01 |
| publisher | University of Žilina |
| record_format | Article |
| series | Communications |
| spelling | doaj.art-d47cd0b338484cedaf9c93a4f8cb6d232023-04-14T06:31:00ZengUniversity of ŽilinaCommunications1335-42052585-78782015-08-01173838710.26552/com.C.2015.3.83-87csl-201503-0014Oscillators Near Hopf BifurcationHelena Samajova0Tongxing Li1Department of Appl. Mathematics, Faculty of Mechanical Engineering, University of Zilina, SlovakiaSchool of Control Science and Engineering, Shandong University, Jinan, ChinaIn this paper the differential transformation method (DTM) is employed to solve a system of linear differential equations derived for energy optimal control theory and nonlinear differential equations and their systems for oscillators near Hopf bifurcation. They are given by differential equations in a complex plane. Different types of forced terms are considered. The approximate solutions are given in the form of series with required accuracy. Some numerical examples are provided.https://komunikacie.uniza.sk/artkey/csl-201503-0014_oscillators-near-hopf-bifurcation.phposcillatorssystems of ordinary differential equationsdifferential transformation method |
| spellingShingle | Helena Samajova Tongxing Li Oscillators Near Hopf Bifurcation Communications oscillators systems of ordinary differential equations differential transformation method |
| title | Oscillators Near Hopf Bifurcation |
| title_full | Oscillators Near Hopf Bifurcation |
| title_fullStr | Oscillators Near Hopf Bifurcation |
| title_full_unstemmed | Oscillators Near Hopf Bifurcation |
| title_short | Oscillators Near Hopf Bifurcation |
| title_sort | oscillators near hopf bifurcation |
| topic | oscillators systems of ordinary differential equations differential transformation method |
| url | https://komunikacie.uniza.sk/artkey/csl-201503-0014_oscillators-near-hopf-bifurcation.php |
| work_keys_str_mv | AT helenasamajova oscillatorsnearhopfbifurcation AT tongxingli oscillatorsnearhopfbifurcation |