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Conformally Symplectic Dynamics and Symmetry of the Lyapunov Spectrum

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Abstract:

A generalization of the Hamiltonian formalism is studied and the symmetry of the Lyapunov spectrum established for the resulting systems. The formalism is applied to the Gausssian isokinetic dynamics of interacting particles with hard core collisions and other systems.

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Authors and Affiliations

  1. Department of Mathematics, University of Arizona, Tuscon, Arizona 85721, USA.¶E-mail: maciejw@math.arizona.edu, , , , , , US

    Maciej P. Wojtkowski

  2. Mathematics Department, University of Rome “or Vergata” 00133 Rome, Italy.¶E-mail: liverani@mat.utovrm.it, , , , , , IT

    Carlangelo Liverani

Authors
  1. Maciej P. Wojtkowski
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  2. Carlangelo Liverani
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Received: 18 March 1997 / Accepted: 5 June 1997

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Wojtkowski, M., Liverani, C. Conformally Symplectic Dynamics and Symmetry of the Lyapunov Spectrum . Comm Math Phys 194, 47–60 (1998). https://doi.org/10.1007/s002200050347

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  • DOI: https://doi.org/10.1007/s002200050347

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