9.8 ChaoS theory 259
is reached. When training is completed, the weight vectors associated with
each neuron define the partitioning of the multidimensional data.
9.8 CHAOS THEORY
Chaos originates from the Greek and more often refers to unpredictability.
The roots of chaos theory date back to around 1900, in the works of Henri
Poincaré on the problem of the motion of three objects in mutual gravita-
tional attraction, the so-called three-body problem. Poincaré established that
there can be orbits which are nonperiodic, and still not forever increasing
or approaching a fixed point. Later studies, also on the topic of nonlinear
differential equations, were carried out by G. D. Birkhoff, A. N. Kolmogorov,
M. L. Cartwright, J. E. Littlewood,