Nonlinear Dynamics of Non-autonoumous Chaotic System
M. A. Aziz Alaoui
Depart. of Math., Labo. of Mechanics, LeHavre University
Rev. Mar. Sc. Phys. 1, 109-125, (1998)
(Received November 28, 1997)
ABSTRACT
Dynamic regimes of a non-autonomous dynamical system having a simple piecewise
non-linearity are investigated. This system models a simple electronic circuit
with a nonlinear element obtained by modifying the Chua's diode in order to
have additionnal bends. The main feature of this modified system is that it
may show multi-spiral strange attractors.
The evolution of dynamics and the effects of variation of the parameters of
the modified system are considered, chaotic behavior is observed via sequences
of period-doubling bifurcation of limit cycles.
Various examples of these multi-scroll chaotic attractors are displayed.
Ref: M.A. Aziz Alaoui,
Int. Journ. of Bifurcation and Chaos 9(6), 1009-1039, (1999)
Ref: M.A. Aziz Alaoui,
Annales de l'ENIT -medélisation et calcul-, Vol. 12(2) (1999)
Fig. 1. An example of 21- multispiral attractor for modified Chua's circuit,
see also a multispiral gallery
and a multifold gallery.
generated by Eq. (2)
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