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Introduction to Hamiltonian Dynamical Systems and the N-Body Problem pp 103–141Cite as

Topics in Linear Theory

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Part of the book series: Applied Mathematical Sciences ((AMS,volume 90))

Abstract

This chapter contains various special topics in the linear theory of Hamiltonian systems. Therefore, the chapter can be skipped on first reading and referred back to when the need arises. Sections 5.1, 5.5, and 5.6 are independent of each other.

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Notes

  1. 1.

    The statement of the theorem on logarithms of symplectic matrices in Meyer and Hall (1991) is wrong.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, USA

    Kenneth R. Meyer

  2. Department of Mathematic and Statistics, Queen’s University, Kingston, ON, Canada

    Daniel C. Offin

Authors
  1. Kenneth R. Meyer
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  2. Daniel C. Offin
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Meyer, K.R., Offin, D.C. (2017). Topics in Linear Theory. In: Introduction to Hamiltonian Dynamical Systems and the N-Body Problem. Applied Mathematical Sciences, vol 90. Springer, Cham. https://doi.org/10.1007/978-3-319-53691-0_5

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