There is frequent confusion between chaos and randomness. There are some similarities in the nature of chaotic and random system, but there are also some fundamental differences. Some of them are listed in fig. Discrimination table between Order, Chaos, and Randomness. Planets used to be representations of a divine order.
Chaotic signals can show spectra in the full range from pure tones to very noisy.
The dimension of a dynamical system indicates the number of independent variables. An attractor determines the geometrical structure, towards which a system will evolve.