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外文资料The analysis of a novel 3-D autonomous system and circuit implementation.pdf

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Physics Letters A 373 (2009) 4227–4238Contents lists available at ScienceDirect Physics Letters A /locate/pla The analysis of a novel 3-D autonomous system and circuit implementation Gaogao Dong a,?, Song Zheng a, Lixin Tian a, Ruijin Du a,b, Mei Sun a, Zhiyan Shi a a Nonlinear Scientific for Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, PR China b College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 401331, PR China a r t i c l e i n f o a b s t r a c t Article history: Received 11 July 2009 Received in revised form 1 September 2009 Accepted 3 September 2009 Available online 8 September 2009 Communicated by A.R. Bishop PACS: 05.45.Ac 05.45.Pq 05.45.Vx Keywords: 3-D autonomous system Chaotic attractor Circuit implantation Frequency spectrum This Letter presents a new three-dimensional autonomous system with four quadratic terms. The sys- tem with five equilibrium points has complex chaotic dynamics behaviors. It can generate many different single chaotic attractors and double coexisting chaotic attractors over a large range of parameters. We observe that these chaotic attractors were rarely reported in previous work. The complex dynamical be- haviors of the system are further investigated by means of phase portraits, Lyapunov exponents spectrum, Lyapunov dimension, dissipativeness of system, bifurcation diagram and Poincaré map. The physical cir- cuit experimental results of the chaotic attractors show agreement with numerical simulations. More importantly, the analysis of frequency spectrum shows that the novel system has a broad frequency bandwidth, which is very desirable for engineering applications such as secure communications. ? 2009 Elsevier B.V. All rights reserved.1. Introduction Over the last two decades, Chaos is found to be useful or has great potential application in many disciplines such as liq- uid mixing with low power consumption, high-performance circuit design for telecommunicat