共查询到18条相似文献,搜索用时 120 毫秒
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在三维线性系统中引入两个分段线性函数,构造了一个代数方程较为简单的网格涡卷混沌系统.通过对引入的锯齿波函数和改进型锯齿波函数的零点配置,完成了该系统指数2平衡点的数量和分布设计,实现了系统所生成混沌吸引子的涡卷数量和涡卷分布的控制.利用运算放大器、乘法器等模拟元器件设计了相应的锯齿波函数电路、改进型锯齿波函数电路以及三维线性系统电路,实现了本文所提出的网格涡卷混沌系统.实验结果与理论分析和数值仿真结果一致,验证了混沌吸引子的涡卷数量和涡卷分布设计的可行性.
关键词:
混沌系统
吸引子
分段线性函数
电路实现 相似文献
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提出了基于数字信号处理(DSP)实现四涡卷超混沌吸引子的方法.利用四阶龙格库塔法对连续四维超混沌系统进行离散化处理,用C语言编写源程序,并在CCS编译器上编译、调试和仿真成功后,下载固化到DSP芯片内,实现四涡卷超混沌吸引子,硬件实验与软件仿真结果完全一致. 相似文献
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基于三阶单涡卷混沌Colpitts振荡器模型,通过引入两个分段线性三角波函数,构造了一个新型四维多涡卷超混沌系统,生成了(2M+1)×(2N+1),(2M+1)和(2N+1)涡卷混沌和超混沌吸引子.利用相轨图、Poincar啨映射、Lyapunov指数谱和分岔图等方法,对新提出的四维多涡卷超混沌系统进行了动力学分析,结果表明,多涡卷超混沌系统的Hopf分岔点仅与控制参数有关,而涡卷数量和控制参数的混沌和超混沌范围随着转折点数量的增加而增加.此外,设计了一个实现四维多涡卷超混沌系统的模拟电路,实验输出与数值仿真的两个结果基本一致. 相似文献
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提出在高阶Jerk系统中产生多涡卷混沌吸引子的一种电路设计与实现新方法.根据高阶Jerk方程,构造了一组具有参数控制的阶跃函数序列,在此基础上设计了产生多涡卷混沌吸引子的高阶广义Jerk电路.用这种方法设计电路的一个主要特点是通用性强,基于一种广义的电路形式,通过双掷开关切换,可分别实现多涡卷四阶和五阶两种不同类型的高阶Jerk电路,并由联动开关控制产生涡卷的数量.给出了在四阶和五阶Jerk电路中产生多涡卷混沌吸引子的计算机模拟和硬件实验结果.
关键词:
高阶广义Jerk电路
阶跃函数序列
多涡卷混沌吸引子
电路实验 相似文献
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提出了在规范型蔡氏电路中生成两种不同类型网格多涡卷混沌吸引子的新方法.与现有文献报道仅构造同一类型非线性函数产生多涡卷混沌吸引子的主要差别在于,这种方法能在一个蔡氏电路中同时构造时滞序列和阶跃序列,并通过其不同的组合方式来扩展相空间中指标2的鞍焦平衡点,从而生成两种不同类型的网格多涡卷混沌吸引子.理论分析、数值模拟和电路实验结果证实了该方法的可行性.
关键词:
规范型蔡氏电路
网格多涡卷混沌吸引子
时滞序列和阶跃序列
电路实现 相似文献
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在双涡卷混沌吸引子的基础上,以变型蔡氏电路和四阶蔡氏电路为例,提出一种研究四维系统中多涡卷混沌与超混沌吸引子的新方法.根据这一方法,从数学上找到了一种能产生多涡卷的递推规律,其特点是只需给定三个初始值ma,mb和x1,由文中所导出的递推公式,可确定多涡卷吸引子中分段线性奇函数的各个转折点和平衡点的值,从而能在四维系统中产生多涡卷混沌与超混沌吸引子,并且这种方法可以推广到产生任意多个涡卷的情形,因此,它具有一般的规律性.理论分析、计算机模拟和电路仿真结果证明了该方法的可行性. 相似文献
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提出一种利用多项式和阶跃函数构造N×M涡卷的构造方法.利用蔡氏电路,传统的利用多项式函数只能产生双涡卷、三涡卷,在此基础上,通过多项式平移得到相空间x方向的多涡卷,再通过多项式与阶跃函数组合来扩展相空间中指标2的鞍焦平衡点,使得多涡卷向y方向延伸,从而生成网格多涡卷混沌吸引子.该构造方法的主要特征是通过光滑曲线和非光滑曲线的组合生成网格多涡卷混沌吸引子,能通过调整自然数N和M的值实现平面网格任意涡卷混沌吸引子阵列.理论分析、数值模拟和电路仿真证实了方法的可行性.
关键词:
网格多涡卷混沌吸引子
蔡氏电路
阶跃函数
电路实现 相似文献
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A four-dimensional hyperchaotic system with five parameters is proposed. Its dynamical properties such as dissipativity, equilibrium points, Lyapunov exponent, Lyapunov dimension, bifurcation diagrams and Poincare maps are analyzed theoretically and numerically. Theoretical analyses and simulation tests indicate that the new system's dynamics behavior can be periodic attractor, chaotic attractor and hyperchaotic attractor as the parameter varies. Finally, the circuit of this new hyperchaotic system is designed and realized by Multisim software. The simulation results confirm that the chaotic system is different from the existing chaotic systems and is a novel hyperchaotic system. The system is recommendable for many engineering applications such as information processing, cryptology, secure communications, etc. 相似文献
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In this paper, a new four-dimensional autonomous hyperchaotic system is designed for generating complex chaotic signals. In the design, its parameters are selected according to the requirements for chaos and hyperchaos. The hyperchaotic nature is verified theoretically by using the bifurcation analysis and demonstrated experimentally by the implementation of an analogue electronic circuit. Moreover, the Field Programmable Gate Array (FPGA) technology is applied to implementing a continuous system in a digital form by using a chip of Altera Cyclone II EP2C35F484C8. The digital sequence generated from the FPGA device is observed in our experimental setup. 相似文献
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Sheng-Hao Jia 《中国物理 B》2022,31(7):70505-070505
A novel memristor-based multi-scroll hyperchaotic system is proposed. Based on a voltage-controlled memristor and a modulating sine nonlinear function, a novel method is proposed to generate the multi-scroll hyperchaotic attractors. Firstly, a multi-scroll chaotic system is constructed from a three-dimensional chaotic system by designing a modulating sine nonlinear function. Then, a voltage-controlled memristor is introduced into the above-designed multi-scroll chaotic system. Thus, a memristor-based multi-scroll hyperchaotic system is generated, and this hyperchaotic system can produce various coexisting hyperchaotic attractors with different topological structures. Moreover, different number of scrolls and different topological attractors can be obtained by varying the initial conditions of this system without changing the system parameters. The Lyapunov exponents, bifurcation diagrams and basins of attraction are given to analyze the dynamical characteristics of the multi-scroll hyperchaotic system. Besides, the field programmable gate array (FPGA) based digital implementation of the memristor-based multi-scroll hyperchaotic system is carried out. The experimental results of the FPGA-based digital circuit are displayed on the oscilloscope. 相似文献
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This paper reports a new hyperchaotic system evolved from the
three-dimensional Lü chaotic system. The Lyapunov exponents
spectrum and the bifurcation diagram of this new hyperchaotic system
are obtained. Hyperchaotic attractor, periodic orbit and chaotic
attractor are obtained by computer simulation. A circuit is designed
to realize this new hyperchaotic system by electronic workbench. 相似文献
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By introducing an additional state feedback into a
three-dimensional autonomous chaotic attractor Lü system, this
paper presents a novel four-dimensional continuous autonomous
hyper-chaotic system which has only one equilibrium. There are only
8 terms in all four equations of the new hyper-chaotic system, which
may be less than any other four-dimensional continuous autonomous
hyper-chaotic systems generated by three-dimensional (3D) continuous
autonomous chaotic systems. The hyper-chaotic system undergoes Hopf
bifurcation when parameter c varies, and becomes the 3D modified
Lü system when parameter k varies. Although the hyper-chaotic
system does not undergo Hopf bifurcation when parameter k varies,
many dynamic behaviours such as periodic attractor, quasi periodic
attractor, chaotic attractor and hyper-chaotic attractor can be
observed. A circuit is also designed when parameter k varies and
the results of the circuit experiment are in good agreement with those
of simulation. 相似文献