Complex Dynamical System for Toda Lattice
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概要
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Extending an independent variable into complex and introducing an auxiliary funclion, we investigate nonlinear interactions between solitons for the Toda lattice byobserving behavior of zeros of the function. The Newton's nnethod calculating themis identified with a complex dynamical system. We present numerical results of theFatou set on the dynamics. According to motion of solitons, the set changes sur-prisingly. Since soliton solutions include the exponential function, the Fatou set isdifferent from that of the polynomial and the rational functions.
- 社団法人日本物理学会の論文
- 1988-11-15
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