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Cycle control functions and the number of limit cycles

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Abstract

The cycle control function is defined and used to estimate the number of limit cycles for some planar autonomous systems. Some sufficient conditions for the existence of no or at most one limit cycle are given.

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References

  1. Chen Yiyuan,P-vector fields on plane,Ann. of Diff. Eqs.,4 (1988), 405–409.

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  2. Ye Yanqian et al., The Theory of Limit Cycles, Revised edition, Shanghai Science and Technology Press, China, 1984.

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Authors and Affiliations

  1. East China Normal University, China

    Zhu Deming

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  1. Zhu Deming
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Zhu, D. Cycle control functions and the number of limit cycles. Acta Mathematicae Applicatae Sinica 7, 108–113 (1991). https://doi.org/10.1007/BF02006096

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  • DOI: https://doi.org/10.1007/BF02006096

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