Title :
Study Chaotic Sequences by Unary Quadratic Nonlinear Transformation
Author :
Chen, Hong ; Gao, Meizhou ; Zhang, Hongpeng
Author_Institution :
Electron. Eng. Coll., Univ. of Heilongjiang, Harbin, China
Abstract :
To increase the types of chaos, and improve some characteristics of chaos, a new method of unary quadratic nonlinear transformation is proposed. Under the premise of not destroying the chaotic state in original system, it can directly change chaotic running track and widen spectrum multiply by a unary quadratic form. From bifurcation diagrams of the sequences before and after transformation, both the very big difference bifurcation phenomena can be seen clearly. Based on Chua´s system, the effectiveness of the method is demonstrated by analysis and numerical experiments from many aspects. This method is suitable for all kinds of chaotic systems.
Keywords :
Chua´s circuit; bifurcation; chaos; Chua´s system; bifurcation diagram; bifurcation phenomena; chaotic running track; chaotic sequence; unary quadratic nonlinear transformation; Bifurcation; Chaotic communication; Degradation; Educational institutions; Mathematical model; chaotic sequences; nonlinear transformation; unary quadratic form;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4577-1798-7
DOI :
10.1109/IWCFTA.2011.17
