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Asymptotic Analysis pp 187–208Cite as

The 1:2:1-resonance, its periodic orbits and integrals

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 711))

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References

  1. Abraham, R: Foundations of Mechanics, Benjamin, Reading, Mass. (1967).

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  2. Birkhoff, G.D.: Dynamical Systems, Am. Math. Soc. (1927).

    Google Scholar 

  3. Cushman, R.: The Momentum Mapping of the Harmonic Oscillator, Instituto Nazionale di Alta Matematica, Symposia Mathematica, Vol XIV (1974).

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  4. Mei, C.C. and Unlüata, U.: Harmonic Generation in Shallow Water Waves, in: Waves and Beaches, Ed. R.E. Meyer, Publ. no. 28 Math. Res. Center, Univ. Wisconsin, Ac. Press, N.Y. (1972).

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  5. Sanders, J.A.: Are Higher Order Resonances Really Interesting? Celestial Meachanics 16 (1978) 421–440.

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  6. Siegel, C.L. and Moser, J.K.: Lectures in Celestial Mechanics, Springer-Verlag (1971)

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  7. Weinstein, A.: Simple Periodic Orbits in Topics in Nonlinear Dynamics, ed. S.Jorna, American Inst. Ph. Conf. Proc. 46 (1978).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Mathematisch Instituut, Rijksuniversiteit Utrecht, 3508 TA, Utrecht, The Netherlands

    Els van der Aa

  2. Wiskundig Seminarium, Vrije Universiteit, 1081 HV, Amsterdam, The Netherlands

    Jan A. Sanders

Authors
  1. Els van der Aa
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  2. Jan A. Sanders
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Ferdinand Verhulst

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© 1979 Springer-Verlag

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van der Aa, E., Sanders, J.A. (1979). The 1:2:1-resonance, its periodic orbits and integrals. In: Verhulst, F. (eds) Asymptotic Analysis. Lecture Notes in Mathematics, vol 711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062954

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  • DOI: https://doi.org/10.1007/BFb0062954

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09245-2

  • Online ISBN: 978-3-540-35332-4

  • eBook Packages: Springer Book Archive

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