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CUI Meihong1, ZHOU Ran1, ZHANG Yanni2
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Abstract: Based on the invariant manifolds theory, we obtained the relationship of integrability between the high dimensional Kolmogorov systems and its subsystems by analysing the retention of the first integral, and gave the decision results of integrability of a class of twodimensional Kolmogorov systems.
Key words: Kolmogorov systems, integrability, invariant manifold
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CUI Meihong, ZHOU Ran, ZHANG Yanni. Integrability and Nonintegrability of Kolmogorov Systems[J].Journal of Jilin University Science Edition, 2018, 56(3): 585-588.
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URL: http://xuebao.jlu.edu.cn/lxb/EN/
http://xuebao.jlu.edu.cn/lxb/EN/Y2018/V56/I3/585
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