| ON FIRST INTEGRALS OF POLYNOMIAL AUTONOMOUS SYSTEMS |
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| 引用本文： | WANG Yuzhen (Department of Automation,Tsinghua University,Beijing 100084,China)CHENG Daizhan(Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese Academy ofSciences,Beijing 100080,China)LI Chunwen (Department of Automation,Tsinghua University,Beijing 100084,China). ON FIRST INTEGRALS OF POLYNOMIAL AUTONOMOUS SYSTEMS[J]. 系统科学与复杂性, 2002, 0(4) |
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| 作者姓名： | WANG Yuzhen (Department of Automation Tsinghua University Beijing 100084 China)CHENG Daizhan(Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy ofSciences Beijing 100080 China)LI Chunwen (Department of Automation Tsinghua University Beijing 100084 China) |
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| 作者单位： | WANG Yuzhen (Department of Automation，Tsinghua University，Beijing 100084，China)CHENG Daizhan(Institute of Systems Science，Academy of Mathematics and Systems Science，Chinese Academy ofSciences，Beijing 100080，China)LI Chunwen (Department of Automation，Tsinghua University，Beijing 100084，China) |
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| 基金项目： | This research is supported by the National Natural Science Foundation(G59837270,G1998020308, G69774008)，National Key Project of China. |
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| 摘 要： | Using Carleman linearization procedure, this paper investigates the problem of first integrals of polynomial autonomous systems and proposes a procedure to find the first integrals of polynomial family for the systems. A generalized eigenequation is obtained and then the problem is reduced to the solvability of the eigenequation. The result is a generalization of some known results.
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ON FIRST INTEGRALS OF POLYNOMIAL AUTONOMOUS SYSTEMS |
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| WANG Yuzhen. ON FIRST INTEGRALS OF POLYNOMIAL AUTONOMOUS SYSTEMS[J]. Journal of Systems Science and Complexity, 2002, 0(4) |
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| Authors: | WANG Yuzhen |
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| Abstract: | Using Carleman linearization procedure, this paper investigates the problem of first integrals of polynomial autonomous systems and proposes a procedure to find the first integrals of polynomial family for the systems. A generalized eigenequation is obtained and then the problem is reduced to the solvability of the eigenequation. The result is a generalization of some known results. |
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| Keywords: | Integrability first integrals Carleman linearization Kronecker product. |
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