共查询到19条相似文献,搜索用时 109 毫秒
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混沌电路电容参数的选择优化 总被引:1,自引:1,他引:0
通过测试蔡氏电路中关键元件的电压特性关系,给出了混沌电路稳定出现八倍周期分岔现象时电路对元件性能的要求. 实验发现相移电容的电压稳定性是实验的关键. 相似文献
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讨论了两个非线性电路适当连接后的耦合系统随耦合强度变化的演化过程.给出了两子系统各自的分岔行为及通向混沌的过程,指出原子系统均为周期运动时,耦合系统依然会由倍周期分岔进入混沌,同时在混沌区域中存在有周期急剧增加及周期增加分岔等现象.而当周期运动和混沌振荡相互作用时,在弱耦合条件下,受混沌子系统的影响,原周期子系统会在其原先的轨道邻域内作微幅振荡,其振荡幅值随耦合强度的增加而增大,混沌的特征越加明显,相反,周期子系统不仅可以导致混沌子系统的失稳,也会引起混沌吸引子结构的变化.
关键词:
非线性电路
耦合强度
分岔
混沌 相似文献
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利用对Lü系统实施反混沌控制的方法,构建了一类关联且有多种切换方式的四维超混沌Lü系统.依据系统的分岔图确定了各个子系统都处于超混沌状态时,系统参数的取值范围.分析了超混沌Lü系统平衡点的性质、超混沌吸引子的相图和Lyapunov指数等特性,设计并实现了这类可切换超混沌Lü系统的硬件电路,利用系统选择器,同一电路可以实现多个关联子系统的功能.电路实验表明,可切换的复杂超混沌Lü系统具有丰富的动力学行为.
关键词:
超混沌Lü系统
切换
分岔图
电路实验 相似文献
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A simple three-dimensional (3D) autonomous chaotic system is extended to four-dimensions so as to generate richer nonlinear dynamics. The new system not only inherits the dynamical characteristics of its parental 3D system but also exhibits many new and complex dynamics, including assembled 1-scroll, 2-scroll and 4-scroll attractors, as well as hyperchaotic attractors, by simply tuning a single system parameter. Lyapunov exponents and bifurcation diagrams are obtained via numerical simulations to further justify the existences of chaos and hyperchaos. Finally, an electronic circuit is constructed to implement the system, with experimental and simulation results presented and compared for demonstration and verification. 相似文献
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提出一种通过压缩非线性系统轨道的相空间实现混沌和超混沌控制的方法-以Henon映象、Lorenz系统和Rossler超混沌系统为例,进行了数值研究-结果表明:该方法能有效地控制非线性系统中的混沌和超混沌行为,并获得98P的高周期稳定轨道-
关键词: 相似文献
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A new Rosslor hyperchaotic system and its realization with systematic circuit parameter design 总被引:1,自引:0,他引:1 下载免费PDF全文
Based on two modified Rosslor hyperchaotic systems, which are derived from the chaotic Rosslor system by introducing a state feedback controller, this paper proposes a new switched Rosslor hyperchaotic system. The switched system contains two different hyperchaotic systems and can change its behaviour continuously from one to another via a switching function. On the other hand, it presents a systematic method for designing the circuit of realizing the proposed hyperchaotic system. In this design, circuit state equations are written in normalized dimensionless form by rescaling the time variable. Furthermore, an analogous circuit is designed by using the proposed method and built for verifying the new hyperchaos and the design method. Experimental results show a good agreement between numerical simulations and experimental results. 相似文献
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Chunbiao Li J. C. Sprott Wesley Thio 《Journal of Experimental and Theoretical Physics》2014,118(3):494-500
A hyperchaotic system with an infinite line of equilibrium points is described. A criterion is proposed for quantifying the hyperchaos, and the position in the three-dimensional parameter space where the hyperchaos is largest is determined. In the vicinity of this point, different dynamics are observed including periodicity, quasi-periodicity, chaos, and hyperchaos. Under some conditions, the system has a unique bistable behavior, characterized by a symmetric pair of coexisting limit cycles that undergo period doubling, forming a symmetric pair of strange attractors that merge into a single symmetric chaotic attractor that then becomes hyperchaotic. The system was implemented as an electronic circuit whose behavior confirms the numerical predictions. 相似文献
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Based on a modified Lorenz system, a relatively simple
four-dimensional continuous autonomous hyperchaotic system is
proposed by introducing a state feedback controller. The system
consists of four coupled first-order ordinary differential equations
with three nonlinear cross-product terms. Some dynamical properties
of this hyperchaotic system, including equlibria, stability, Lyapunov
exponent spectrum and bifurcation, are analysed in detail. Moreover,
an electronic circuit diagram is designed for demonstrating the
existence of the hyperchaos, and verifying computer simulation
results. 相似文献
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Nonlinear feedback control of a novel hyperchaotic system and its circuit implementation 总被引:1,自引:0,他引:1 下载免费PDF全文
This paper reports a new hyperchaotic system by adding an
additional state variable into a three-dimensional chaotic dynamical
system. Some of its basic dynamical properties, such as the
hyperchaotic attractor, Lyapunov exponents, bifurcation diagram and
the hyperchaotic attractor evolving into periodic, quasi-periodic
dynamical behaviours by varying parameter k are studied. An effective
nonlinear feedback control method is used to suppress hyperchaos to
unstable equilibrium. Furthermore, a circuit is designed to realize
this new hyperchaotic system by electronic workbench (EWB).
Numerical simulations are presented to show these results. 相似文献