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Rotated vector fields decomposition method and its application

Part of the Lecture Notes in Mathematics book series (LNM,volume 1455)

Keywords

  • Saddle Point
  • Stable Limit Cycle
  • Unstable Limit Cycle
  • Separatrix Loop
  • Weak Saddle

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References

  1. Ye Yanqian and others, Theory of limit cycles, Trans. Math. Monographs, vol. 66, Amer. Math. Soc., 1986.

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  2. Ye Yanqian, Ye Wei Yin, On the impossibility of (2, 2) distribution of limit cycles for any real quadratic differential system (II), Ann. Diff. Eqs., vol. 4, no. 1, 117–130 (1988).

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  3. Suo Guangjian, The algebraic critical cycles and bifurcation of limit cycles for the system Journ. of Math. Rev. and Expos., vol. 2, no. 2, 69–75 (1982).

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  4. Ye Yanqian, On the relative position of limit cycles of a real quadratic differential system, Chin. Ann. Math., 10, Ser. B (1989)

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  5. Ye Yanqian, Divergence and the uniqueness of limit cycles of a quadratic differential system. (to appear in Ann. Diff. Eqs.), vol. 6, no. 1, (1990).

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  6. Duffy, G.F.D., Limit cycles and rotated vector fields, Ann. Math., vol. 2, no. 57, 15–31 (1953).

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© 1990 Springer-Verlag

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Yanqian, Y. (1990). Rotated vector fields decomposition method and its application. In: Françoise, JP., Roussarie, R. (eds) Bifurcations of Planar Vector Fields. Lecture Notes in Mathematics, vol 1455. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085403

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  • DOI: https://doi.org/10.1007/BFb0085403

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53509-6

  • Online ISBN: 978-3-540-46722-9

  • eBook Packages: Springer Book Archive