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ULTRADISCRETE HAMILTONIAN SYSTEMS

Published online by Cambridge University Press:  14 July 2005

MASATAKA IWAO
Affiliation:
School of Science and Engineering, Waseda University,Tokyo 169-8555, Japan e-mail: masataka.iwao@fuji.waseda.jp
DAISUKE TAKAHASHI
Affiliation:
School of Science and Engineering, Waseda University,Tokyo 169-8555, Japan e-mail: masataka.iwao@fuji.waseda.jp
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Abstract

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The method of ultradiscrete limit is applied to a series of discrete systems derived from Hamiltonian systems parametrized with corresponding lattice polygons. For every ultradiscrete system, general solution is obtained from the polar set of each lattice polygon.

Keywords

Type
Research Article
Copyright
2005 Glasgow Mathematical Journal Trust