SOME PROBLEMS ON CLASSICAL CHAOS

In the community of ''chaos'' theory, a phenomenon, appearing in the s tudy of a modified population evolutionary model, i.e. ''one-dimension al iteration'', under certain restrictions, is called ''classical chao s''. In fact, the properties of this model can be discussed through th e study of mathematical properties of quadratic forms of the first ord er, for more about this end, see OuYang et al. (1998). Logistic curves are special cases of population models under local conditions. The ge neral characteristics of this model contain blown-ups, which describe the special characteristic of population evolutions: ''things will dev elop in the opposite direction when at extremes''. The phenomenon, cal led ''classical chaos'' in the community of ''chaos'' theory, or Li-Yo rke Theorem in systems science, needs to be reconsidered.