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The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function pp 87–89Cite as

Critical points, critical exponents, and stability-instability transitions in Hamiltonian systems

  • A. Classical Nonlinear Dynamics and Chaos
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Part of the book series: Lecture Notes in Physics ((LNP,volume 278))

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References

  1. Z. Deng and F. T. Hioe, Phys. Rev. Lett. 55, 1539 (1985), 56, 1757 (1986).

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  2. F. T. Hioe and Z. Deng, An analytic solution of stability-instability transitions in a two-dimensional Hamiltonian system, submitted for publication.

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  3. Z. Deng and F. T. Hioe, Phys. Lett. A 115, 21 (1986).

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  4. E. L. Ince, Proc. Royal Soc. Edinburgh, 60, 47 (1940).

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  5. A. Erdélyi, Phil. Mag. 31, 123 (1941).

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  6. F. T. Hioe and Z. Deng, Stability-instability transitions in Hamiltonian systems of n-dimensions, submitted for publication.

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Author information

Authors and Affiliations

  1. St. John Fisher College, 14618, Rochester, New York

    F. T. Hioe

  2. Department of Chemistry, University of Rochester, 14627, Rochester, New York

    Z. Deng

Authors
  1. F. T. Hioe
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  2. Z. Deng
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Y. S. Kim W. W. Zachary

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© 1987 Springer-Verlag

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Hioe, F.T., Deng, Z. (1987). Critical points, critical exponents, and stability-instability transitions in Hamiltonian systems. In: Kim, Y.S., Zachary, W.W. (eds) The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function. Lecture Notes in Physics, vol 278. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17894-5_328

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  • DOI: https://doi.org/10.1007/3-540-17894-5_328

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17894-1

  • Online ISBN: 978-3-540-47901-7

  • eBook Packages: Springer Book Archive

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