Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 12, Issue 8, Pages 1789-1812Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127402005467
Keywords
chaos; Lorenz system; Chen system; canonical form
Ask authors/readers for more resources
This paper shows that a large class of systems, introduced in [Celikovsky Vanecek, 1994; Vanecek & Celikovsky 1996] as the so-called generalized Lorenz system, are state-equivalent to a special canonical form that covers a broader class of chaotic systems. This canonical form, called generalized Lorenz canonical form hereafter, generalizes the one introduced and analyzed in [Celikovsky Vanecek, 1994; Vanecek & Celikovsky 1996], and also covers the so-called Chen system, recently introduced in [Chen Ueta, 1999; Ueta & Chen, 2000]. Thus, this new generalized Lorenz canonical form contains as special cases the original Lorenz system, the generalized Lorenz system, and the Chen system, so that a comparison of the structures between two essential types of chaotic systems becomes possible. The most important property of the new canonical form is the parametrization that has precisely a single scalar parameter useful for chaos tuning, which has promising potential in future engineering chaos design. Some other closely related topics are also studied and discussed in the paper.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available