Title :
Simple delay systems with chaotic dynamics
Author :
Tian, Yu-Chu ; Gao, Furong
Author_Institution :
Dept. of Chem. Eng., Hong Kong Univ. of Sci. & Technol., Hong Kong
Abstract :
A class of simple delay systems, described by a first-order, autonomous, differential equation with a time delay, is shown in this paper to be able to simulate or produce continuous-time chaos. A set of conditions is postulated for such systems to behave chaotically. A sinusoidal delay function is given as an example to illustrate the system
Keywords :
chaos; continuous time systems; delay systems; differential equations; dynamics; chaotic dynamics; continuous-time chaos; delay systems; differential equation; sinusoidal delay function; Bifurcation; Chaos; Chemical engineering; Continuous time systems; Delay effects; Delay systems; Differential equations; Glass; Mathematical model; Nonlinear equations;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.631356
