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Multiplicity of periodic solutions to birkhoff’s billiard ball problem

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References

  1. Birkhoff, G. D.. On the penodic motion of dynamical systems,Acta Mach., 1927. 50: 359.

    Article  Google Scholar 

  2. Birkhoff, G. D., Dynamical systems,Am. Math. Soc., 1927.

  3. Gale, D.. Birkhoff s billiard balls, inMathematical Entertainments, The Mathematical Intelligencer, 1992, 14(4): 58.

    Google Scholar 

  4. Lefschetz, S. Geometric differential equation,Ordtnary Dtff. Equations-1971-NRC-MRC Conference, 1972, 185–194.

  5. Sternberg, S.,Gelestrial mechanics 11, New York: Benjamin. 1973.

    Google Scholar 

  6. Croft, H. T., Swinnerton-Dyer, H. P. H.. On the Steinhaus billiard table problem.Proc. Cambridge Philos. Sor. 1963. 59: 34.

    Google Scholar 

  7. Mather, J., A criterion for the nonexistence of invariant circles,Publ. IHES, 1986, 63: 153.

    Google Scholar 

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Authors and Affiliations

  1. Graduate School, University of Science and Technology of Chine, 100039, Beijing, China

    Min Ji

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  1. Min Ji
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Ji, M. Multiplicity of periodic solutions to birkhoff’s billiard ball problem. Chin.Sci.Bull. 42, 353–355 (1997). https://doi.org/10.1007/BF02884218

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  • DOI: https://doi.org/10.1007/BF02884218

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