Umang Bhatt, Javier Antorán, et al.
AIES 2021
Portraits of time-discrete phase planes associated with the cyclic system [ x ̇(t) = -f(y(t)), y ̇(t) = f(x(t))} are presented, where f is a frequency modulation term of the general form, f(x) = sin[x + sin(ρ{variant}x)]. The resulting trajectories are of interest artistically and mathematically, and they reveal a visually striking and intricate class of patterns ranging from stable points to hierarchies of stable cycles and to apparently random fluctuations. The computer-based system presented is special in its primary focus on the fast characterization of simple cyclic systems using an interactive graphics system with a variety of controlling parameters. © 1987.
Umang Bhatt, Javier Antorán, et al.
AIES 2021
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AAAI 2025