Limit Cycles of Differential Equations
This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Recerca Matemàtica Barcelona in 2006. The topics covered are the center-focus problem for polynomial vector fields, and the application of Abel...
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| Main Authors: | , , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2024.
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| Edition: | 2nd ed. 2024. |
| Series: | Advanced Courses in Mathematics - CRM Barcelona,
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-030-59656-9 |
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| Summary: | This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Recerca Matemàtica Barcelona in 2006. The topics covered are the center-focus problem for polynomial vector fields, and the application of Abelian integrals to limit cycle bifurcations. Both topics are related to Hilbert's sixteenth problem. In particular, the book will be of interest to students and researchers working in the qualitative theory of dynamical systems. This second edition provides updates, further clarifications and remarks, and includes an expanded list of references. |
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| Physical Description: | 1 online resource (IX, 238 p. 21 illus.). 5 illus. in color. |
| ISBN: | 9783030596569 |
| ISSN: | 2297-0312 |
| DOI: | 10.1007/978-3-030-59656-9 |