Ordered Motion in Hamiltonian Systems with Many Degrees of Freedom

  • Tetsuro Konishi
Chapter
Part of the NATO ASI Series book series (ASIC, volume 533)

Abstract

Using a globally coupled symplectic mapping, we show that an ordering process is possible for Hamiltonian systems. The phase space has two different chaotic seas which correspond to ordered and disordered motions respectively. Ordered motion is maintained by the hierarchical structure in the phase space. Switching between ordered and disordered motions is possible. Extended Lyapunov analysis reveals that the switching is found to be non-collective.

Keywords

Phase Space Hamiltonian System Random State Maximum Lyapunov Exponent Crossover Region 
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Copyright information

© Springer Science+Business Media Dordrecht 1999

Authors and Affiliations

  • Tetsuro Konishi
    • 1
  1. 1.R-Lab., Department of Physics, School of ScienceNagoya UniversityNagoyaJapan

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