| Isochronous Centers and Isochronous Functions |
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| 引用本文： | Li-jun YangDepartment of Mathematical Sciences of Tsinghua University,Beijing 100084,China. Isochronous Centers and Isochronous Functions[J]. 应用数学学报(英文版), 2002, 18(2): 315-324. DOI: 10.1007/s102550200031 |
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| 作者姓名： | Li-jun YangDepartment of Mathematical Sciences of Tsinghua University Beijing 100084 China |
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| 作者单位： | Li-jun YangDepartment of Mathematical Sciences of Tsinghua University，Beijing 100084，China |
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| 摘 要： | Abstract We study isochronous centers of two classes of planar systems of ordinary differential equations.Forthe first class which is the Linard systems of the form =y-F(x),=-g(x) with a center at the origin, we provethat if g is isochronous(see Definiton 1.1),then the center is isochronous if and only if F≡0.For the secondclass which is the Hamiltonian systems of the form =-g(y),=f(x) with a center at the origin,we prove thatif f or g is isochronous,then the center is isochronous if and only if the other is also isochronous.
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Isochronous Centers and Isochronous Functions |
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| Li-jun Yang. Isochronous Centers and Isochronous Functions[J]. Acta Mathematicae Applicatae Sinica, 2002, 18(2): 315-324. DOI: 10.1007/s102550200031 |
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| Authors: | Li-jun Yang |
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| Affiliation: | (1) Department of Mathematical Sciences of Tsinghua University, Beijing 10084, China (E-mail: lyang@math.tsinghua.edu.cn), CN |
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| Abstract: | |
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| Keywords: | Isochronous center Lienard system monotonicity period function |
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