共查询到17条相似文献,搜索用时 14 毫秒
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通过对一个光滑三维二次混沌系统上引入一个新的状态反馈控制器,构造出一个新的四维超混沌系统。详细地分析了该系统平衡点的性质、超混沌吸引子相图、Lyapunov指数和分岔图等基本动力学特性。数值模拟结果表明,新的四维系统能随着参数变化呈现出周期态、拟周期态、混沌态和超混沌态等丰富的动力学行为。最后设计了硬件电路实验,也很好的证实了相关结果。 相似文献
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在一个能产生两翼、三翼和四翼混沌吸引子的系统上增加一个状态变量,构造了一个新的多翼超混沌系统.通过对系统平衡点的分析和Lyapunov指数谱、分岔图以及相图的数值仿真,呈现了多翼超混沌系统所具有的动力学特性.最后,在IEEE-754标准下,利用FPGA设计多翼超混沌信号发生器,获得了周期相图、两翼和四翼混沌吸引子,以及两翼和四翼超混沌吸引子.硬件实验结果与数值仿真结果相一致. 相似文献
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《固体电子学研究与进展》2020,(3)
在一个三维自治系统中引入三次非线性磁控忆阻器,得到了一个新的四维忆阻超混沌系统。通过分析该系统的动力学行为,发现它具有线平衡点,存在共存吸引子。通过MATLAB编程计算出Lyapunov指数,结果证明了该系统存在超混沌行为。Simulink数值仿真得到的相图和基于忆阻等效电路设计的PSpice电路仿真相图完全对应一致,验证了系统的正确性与有效性。 相似文献
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通过引入多个线性状态反馈控制项和非线性状态反馈控制项,提出了一个新型多翼统一混沌系统。在不同的系统参数下均能产生关于原点对称的真实四翼混沌吸引子,还能产生蝴蝶吸引子、蝙蝠形吸引子和新型多翼混沌吸引子。采用常规的动力学分析方法研究了产生新型多翼混沌吸引子系统的基本动力学特性,例如相图、耗散性分析、李雅普诺夫指数谱和分岔图。结果表明系统可以产生丰富的混沌行为,该新型多翼混沌吸引子可以随参数的变化实现关于x轴对称的双翼混沌吸引子和关于原点对称的真实四翼混沌吸引子。 相似文献
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提出了一个新的具有超多稳定性的三维连续自治混沌系统,该系统仅有2个非线性项.对系统的耗散性、平衡点的稳定性进行了定量分析,并利用分岔图、Lyapunov指数、彭加莱截面和吸引子相图分析了系统参数以及初值对其动力学行为的影响.在参数固定的情况下,分析初值变化的分岔图,得到了无限多种共存吸引子.通过采用模拟开关电子元件设计实现了该系统,同时运用Multisim软件仿真了该系统的混沌电路.结论证明电路仿真与数值仿真结果一致. 相似文献
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对一个新的超混沌系统通过分数阶线性系统稳定性理论分析得出其分数阶形式,并利用matlab仿真得出该系统的混沌吸引子图像.接着对该分数阶系统的同阶数和不同阶数两种形式进行异结构的同步分析,设计自适应同步控制器,实现该系统的异结构同步,数值仿真的结果表明设计控制器很好的实现了驱动系统和响应系统的同步. 相似文献
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对一个新超混沌电路的研究 总被引:8,自引:1,他引:7
本文提出一种新的产生超混沌的电路。该电路非线性器件的选取不同于以往只局限于分段线性电阻的框框,而是采用分段线性负电容作为非线性元件。 相似文献
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通过对一个注入激光系统的分岔图、李雅普诺夫(Lyapunov)指数谱、功率谱和相轨道的数值计算与分析,得到了系统出现不动点、极限环、混沌、超混沌的参数区间。为进一步研究该系统在混沌和起混沌状态下的统计性质奠定了基础。 相似文献
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Based on the traditional Qi chaotic system,a novel unified chaotic system with the complex chaotic characteristics was constructed by adding the control parameters and modifying the nonlinear terms.Firstly,basic dynamical characteristics of chaotic system were analyzed,and phase portrait,time domain waveform diagram,Poincare mapping and power spectrum diagram were numerically simulated.Secondly,system parameters influence on chaotic system was discussed through Lyapunov exponent spectrum,bifurcation diagrams and chaotic signal amplitude.It was found that the unified chaotic system can generate the four new types of two-wing chaotic attractors with the multi-parameter invariable Lyapunov exponent spectrum characteristics.Meanwhile,there exist the functions of the global and local nonlinear amplitude modulation parameters.Thirdly,taking the first chaotic attractor of system as an example by introducing the two new types of nonlinear functions,the expansion of grid multi-wing attractor was realized.Finally,the hardware circuit of novel unified chaotic system was constructed.The four new types of chaotic attractors are observed experimentally,which is consistent with numerical simulation results and verified the feasibility of the proposed system. 相似文献
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Viet–Thanh Pham Christos Volos Tomasz Kapitaniak Sajad Jafari Xiong Wang 《International Journal of Electronics》2018,105(3):385-397
Although chaotic systems have been intensively studied since the 1960s, new systems with mysterious features are still of interest. A novel chaotic system including hyperbolic functions is proposed in this work. Especially, the system has an infinite number of equilibrium points. Dynamics of the system are investigated by using non-linear tools such as phase portrait, bifurcation diagram, and Lyapunov exponent. It is interesting that the system can display coexisting chaotic attractors. An electronic circuit for realising the chaotic system has been implemented. Experimental results show a good agreement with theoretical ones. 相似文献
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细胞神经网络超混沌系统同步及其在保密通信中的应用 总被引:22,自引:2,他引:20
本文研究四阶细胞神经网络超混沌系统同步方法,提出了一种基于细胞神经网络超混沌同步系统的扩展谱保密通信系统;这个保密通信系统不仅只需传递一个标量信号,而且由于采用了超混沌系统,所设计的保密通信系统具有更高的保密性。 相似文献
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In this study, an equation is derived by changing the parameter values of a chaotic system in the literature and analyzing its chaotic behavior. In the analysis of chaotic behaviors, chaotic system analyses such as phase portraits, sensitivity to initial conditions, Lyapunov exponential spectrum and dimension analysis, bifurcation diagram with Matlab® software were investigated. The derived equations were embedded into a mobile random number generator (RNG). RNG was developed on the Raspberry Pi 3 Model B microcomputer. It has been shown that the obtained random numbers can be securely used in encryption applications by successfully passing the statistical tests NIST 800-22, FIPS 140-1 and ENT. An image encryption application with the generated random numbers was implemented on the Raspberry Pi 3 Model B microcomputer. Finally, the encrypted image was subjected to security tests such as histogram analysis, correlation and entropy coefficients, correlation card, NPCR, UACI utilizing MATLAB software. The performance and reliability of the encryption algorithm were also measured. This paper improves the current state of art as it implements chaotic random number generation algorithm in a small footprint micro computer. 相似文献
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为了揭示电路系统丰富的非线性动力学行为,提高电路系统的稳定性,避免混沌或超混沌电路对元器件的危害,针对一类电路系统模型,应用现代数学中的微分方程理论和非线性动力学的方法,分析了系统发生分岔的条件,并通过数值分析验证了该理论结果。研究发现系统在一定参数条件下存在内衣马克-沙克分岔和倍周期分岔,随着参数的变化系统演化为混沌和超混沌。针对目前超混沌控制方法的研究较少,而且控制的周期轨道多是低周期轨道,提出一种节约能量并能将系统控制到高倍周期和概周期的方法,为研究许多现实离散系统模型提供了一种新的方法,对于研究电路系统提供了一条新的思路,因而具有一定的理论意义和实用价值。 相似文献