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.

Read more about this topic:  Toda Oscillator

Famous quotes containing the word definition:

    The definition of good prose is proper words in their proper places; of good verse, the most proper words in their proper places. The propriety is in either case relative. The words in prose ought to express the intended meaning, and no more; if they attract attention to themselves, it is, in general, a fault.
    Samuel Taylor Coleridge (1772–1834)

    ... we all know the wag’s definition of a philanthropist: a man whose charity increases directly as the square of the distance.
    George Eliot [Mary Ann (or Marian)

    One definition of man is “an intelligence served by organs.”
    Ralph Waldo Emerson (1803–1882)