【摘要】：為了進一步豐富混沌系統(tǒng)理論及類型,提出一個新的三維混沌系統(tǒng),分析該系統(tǒng)的基本動力學(xué)特征,研究該系統(tǒng)混沌吸引子的形成機理,通過系統(tǒng)相圖、Lyapunov指數(shù)譜圖和分岔圖等數(shù)學(xué)仿真方法驗證系統(tǒng)的混沌特性,借助Poincaré映射和拓?fù)漶R蹄映射理論,找到系統(tǒng)的拓?fù)漶R蹄,進一步從理論上證明系統(tǒng)的混沌特性。結(jié)果表明,該系統(tǒng)的混沌吸引子是通過2個簡單吸引子的鏡像映射融合而成的復(fù)合結(jié)構(gòu),并且該系統(tǒng)與廣義Lorenz系統(tǒng)不拓?fù)涞葍r,是一種新混沌系統(tǒng)。
[Abstract]:In order to further enrich the theory and types of chaotic system, a new three-dimensional chaotic system is proposed. The basic dynamic characteristics of the system are analyzed, and the formation mechanism of chaotic attractor is studied. The chaotic properties of the system are verified by mathematical simulation methods such as Lyapunov exponent spectrum diagram and bifurcation diagram. The topological horseshoe of the system is found by using Poincar 茅 mapping and topological horseshoe mapping theory, and the chaotic property of the system is further proved theoretically. The results show that the chaotic attractor of the system is a composite structure formed by the fusion of two simple attractors' mirrored maps, and the system is not topological equivalent to the generalized Lorenz system, so it is a new chaotic system.
【作者單位】： 濱州學(xué)院信息工程系;濱州學(xué)院電氣工程系;濱州學(xué)院航空工程系;
【基金】：山東省自然科學(xué)基金項目(ZR2014FQ019) 濱州學(xué)院科研基金項目(BZXYG1302,BZXYG1618)
【分類號】：O415.5
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本文編號：2426134