Linear Stability of a Periodic Orbit in the System of Falling Balls

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The Geometry of Hamiltonian Systems

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 22))

Abstract

We study linear stability of a periodic orbit in the hamiltonian system with many degrees of freedom introduced in [W1].

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References

  1. J.E. Howard and R.S. MacKay, Linear stability of symplectic maps, J. Math. Phys 28 (1987), 1036–1051.

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  2. M.P. Wojtkowski, A system of one dimensional balls with gravity, Comm. Math. Phys. 126 (1990), 507–533.

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  3. M.P. Wojtkowski, The system of one dimensional balls in an external field II, Comm. Math. Phys. 127 (1990), 425–432.

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© 1991 Springer-Verlag New York, Inc.

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Cheng, J., Wojtkowski, M.P. (1991). Linear Stability of a Periodic Orbit in the System of Falling Balls. In: Ratiu, T. (eds) The Geometry of Hamiltonian Systems. Mathematical Sciences Research Institute Publications, vol 22. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9725-0_5

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  • DOI: https://doi.org/10.1007/978-1-4613-9725-0_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9727-4

  • Online ISBN: 978-1-4613-9725-0

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