Title :
Multispiral chaos
Author :
Aziz-Alaoui, M.A.
Author_Institution :
Dept. of Math., Le Havre Univ., France
Abstract :
In this paper, we give piecewise linear (PWL) versions of dynamical systems such as Duffing equations. Then, by modifying the piecewise-linear function, various `multispiral´ strange attractors are shown. These attractors appear as a result of the combination of several `one-spiral´ attractors similar to Rossler´s or similar to Chua´s double scroll (1992). This is demonstrated by some numerical results describing how the dynamic changes and gives rise to `multispiral-attractor´ as the number of segments of the piecewise-linearity increases. Bifurcation phenomena and transition from order to `multispiral-chaos´ are studied
Keywords :
Chua´s circuit; bifurcation; chaos; Duffing equations; bifurcation phenomena; double scroll; dynamic changes; multispiral chaos; multispiral strange attractors; multispiral-attractor; multispiral-chaos; piecewise-linear function; piecewise-linearity; Bifurcation; Chaos; Differential equations; Laboratories; Limit-cycles; Linearity; Mathematics; Piecewise linear techniques; Resistors; Spirals;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.873517
