Toda Oscillator - Definition

Definition

The Toda oscillator is a dynamical system of any origin, which can be described with dependent coordinate and independent coordinate, characterized in that the evolution along independent coordinate can be approximated with equation


\frac{{\rm d^{2}}x}{{\rm d}z^{2}}+
D(x)\frac{{\rm d}x}{{\rm d}z}+
\Phi'(x) =0,

where, and prime denotes the derivative.

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