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Toda oscillator : ウィキペディア英語版
Toda oscillator

In physics, the Toda oscillator is a special kind of nonlinear oscillator. It represents a chain of particles with exponential potential interaction between neighbors. These concepts are named after Morikazu Toda. The Toda oscillator is used as a simple model to understand the phenomenon of self-pulsation, which is a quasi-periodic pulsation of the output intensity of a solid-state laser in the transient regime.
== Definition ==
The Toda oscillator is a dynamical system of any origin, which can be described with dependent coordinate ~x~ and independent coordinate ~z~, characterized in that the evolution along independent coordinate ~z~ can be approximated with equation
:
\fracx}+
D(x)\fracx}z}+
\Phi'(x) =0,

where
~D(x)=u e^+v~, ~\Phi(x)=e^x-x-1~ and prime denotes the derivative.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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