Nonlinearity means the non-superposition of factors or effects; it means there are terms like
X², 2mxy, byz
in the equations, in which x, y and z are variables, b and m are parameters. Nonlinearity is a necessary, but not sufficient condition for the appearance of chaos. Chaos motions must come from a nonlinear system but nonlinearity does not necessarily imply chaos. Piecewise nonlinearity is not equal to linearity.
"A Brief History of the Concept of Chaos", Huajie Liu, (Department of Philosophy, Peking University, 100871, Beijing, P.R.China), 1999-04-12
...or an expression of order?
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