Multispiral chaos
Aziz-Alaoui, M.A.
Dept. of Math., Le Havre Univ.;
This paper appears in: Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Publication Date: 2000
Volume: 1,
On page(s): 88-91 vol.1
Meeting Date: 07/05/2000 - 07/07/2000
Location: St. Petersburg, Russia
ISBN: 0-7803-6434-1
References Cited: 4
INSPEC Accession Number: 6728317
Digital Object Identifier: 10.1109/COC.2000.873517
Current Version Published: 2002-08-06
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
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