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Formal first integrals for periodic systems |
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| Authors: | Jia Jiao Shaoyun Shi Zhiguo Xu |
| Institution: | a Institute of Mathematics, Jilin University, Changchun 130012, PR China b College of Science, Dalian Nationalities University, Dalian 116600, PR China c Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun 130012, PR China |
| Abstract: | In the present paper, we give an elementary proof for the result of Li et al. (2003) 6] about nonexistence of formal first integrals for periodic systems in a neighborhood of a constant solution. Moreover, we present a criterion about partial existence of formal first integrals for the periodic system, by using the Floquet's theory. |
| Keywords: | Formal first integral Periodic systems Floquet's theory |
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