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Generating a new chaotic attractor by feedback controlling method

✍ Scribed by Yuhua Xu; Wuneng Zhou; Jian-an Fang; Junhai Ma; Yuling Wang

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
568 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by M. Efendiev

A new chaotic system is found by feedback controlling method in this paper. According to the definition of the generalized Lorenz system, the new chaotic system does not belong to generalized Lorenz systems. We analyze the new system by means of phase portraits, Lyapunov exponents, fractional dimension, bifurcation diagram, and PoincarΓ© map. The particular interest is that this novel system can generate two one-scroll and one two-scroll chaotic attractors with the variation of a single parameter. The obtained results show clearly that the system is a new chaotic system and deserves a further detailed investigation.

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