Problems in complex systems
Wentian Li · 1989
Five separate problems concerning nonlinear complex systems are studied in this thesis. Three of them concern studies of dynamical systems with spatial degrees of freedom and the remaining two concern dynamical systems in lower dimensions. The problems studied are (1) the spectra of regular languages with application to cellular automata, (2) the spectra of context-free languages and 1/f noise in open dynamical systems, (3) the structure of cellular automata rule spaces, (4) fractal dimension of Cantori, and (5) stabilizing and destabilizing effects of weighted time delay.