| The Hamiltonian Structures of 3D ODE with Time-Independent Invariants |
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| 引用本文： | 郭仲衡, 陈玉明. The Hamiltonian Structures of 3D ODE with Time-Independent Invariants[J]. 应用数学和力学(英文版), 1995, 0(4) |
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| 作者姓名： | 郭仲衡 陈玉明 |
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| 作者单位： | Guo Zhong -heng(Department of Mathematics，Peking University，Beijig，100871，P. R. China)Chen Yu-ming(Department of Applied Mathematics，Hunan University，Changsha，410012，P. R. China) |
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| 摘 要： | ＴＨＥＨＡＭＩＬＴＯＮＩＡＮＳＴＢＵＣＴＵＲＥＳＯＦ３ＤＯＤＥＷＩＴＨＴＩＭＥ－ＩＮＤＥＰＥＮＤＥＮＴＩＮＶＡＲＩＡＮＴＳＧｕｏＺｈｏｎｇ－ｈｅｎｇ（郭仲衡）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＰｅｋｉｎｇＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊ...
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THE HAMILTONIAN STBUCTURES OF 3D ODE WITHTIME-INDEPENDENT INVARIANTS |
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| Guo Zhong -heng. THE HAMILTONIAN STBUCTURES OF 3D ODE WITHTIME-INDEPENDENT INVARIANTS[J]. Applied Mathematics and Mechanics(English Edition), 1995, 0(4) |
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| Authors: | Guo Zhong -heng |
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| Abstract: | We have proved that any 3-dimensional dynamical system of ordinary differentialequations(in short, 3D ODE)With time-independent invariants can be rewritten asHaniltonian systems with respect to generalized Poisson brackets and theHamiltonians are these invariants. As an example,we discuss the Kermack-Mckendrick modelfor epidemics in detail. The results we obtained are generalizatioof those obtained by Y. Nutku. |
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| Keywords: | Poisson bracket Hamiltonian structure bi-Hamiltonianstructure. invariant. the Kermack-Mckendrick model forepidem ics |
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