Fen Fang
Department of Foundation, Jinling Institute of Technology, Jiangsu, Nanjing, 211169, China
Qian Cai
Mathematics and statistical institute, Nanjing Audit University, Jiangsu, Nanjing 211815, China
Zhoumu Yang
School of Mathematics and Physics, Nanjing University of Information Science and Technology, Jiangsu, Nanjing 210044, China
Shaoyu Dai
Department of Foundation, Jinling Institute of Technology, Jiangsu, Nanjing, 211169, China
ABSTRACT
A plus system dynamical model of a kind of chaotic signals is proposed in the field of signal processing and these kind of chaotic signals have a common feature of period doubling bifurcation behaviors. The plus system was consisted of two signals to plus directly. And as the parameter increasing in some range, the bifurcation and attractor diagrams of the plus systems about three simple signals were studied. Then by mathematical induction the bifurcation point sequences relation between the plus system signal and the simple signals were deduced. The numerical experiments and theoretic research illustrated that the new system still had period doubling bifurcation behaviors and exist chaotic states in particular parameter range. Furthermore, their bifurcation points sequence is formed by the minimum value of corresponding bifurcation points of the two simple signals.
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How to cite this article
Fen Fang, Qian Cai, Zhoumu Yang and Shaoyu Dai, 2013. Bifurcation and Chaos in plus System of a Kind of Chaotic Signals. Information Technology Journal, 12: 8045-8048.
DOI: 10.3923/itj.2013.8045.8048
URL: https://scialert.net/abstract/?doi=itj.2013.8045.8048
DOI: 10.3923/itj.2013.8045.8048
URL: https://scialert.net/abstract/?doi=itj.2013.8045.8048
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