共查询到18条相似文献,搜索用时 78 毫秒
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在三维Lü系统的基础上增加一维状态,构建了一个新的四维超混沌Lü系统,简要地分析了该系统平衡点的性质、超混沌吸引子的相图、Lyapunov指数和Lyapunov维数等特性,并设计了一种实现四维超混沌系统的实际电路. 硬件电路实验表明,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
Lyapunov指数
电路实现 相似文献
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提出了一个新的三维自治混沌系统,并对系统的基本动力学特性进行了深入研究, 得到系统的Lyapunov指数和维数,给出了系统数值仿真图、Poincaré 映射图、Lyapunov指数谱和分岔图, 重点分析了不同参数变化对系统动力学行为的影响.最后,设计了该混沌系统的硬件电路并运用Multisim软件 对该电路进行仿真实现,数值仿真和电路仿真证实了该混沌系统与以往发现的混沌系统并不拓朴等价, 是一个新的混沌系统. 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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利用Matlab软件和理论分析给出了一个新超混沌类Lorenz系统的非线性动力学行为。主要包括对称性、耗散性、平衡点的稳定性、空间相图、时序波形图、Lyapunov指数和Lyapunov维数、分岔图、Poincaré映射图和功率谱图等方面。研究结果展示了系统具有丰富的动力学行为,证实了混沌系统的物理可实现性。 相似文献
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This paper reports a new four-dimensional continuous autonomous hyperchaos generated from the Lorenz chaotic system by introducing a nonlinear state feedback controller. Some basic properties of the system are investigated by means of Lyapunov exponent spectrum and bifurcation diagrams. By numerical simulating, this paper verifies that the four-dimensional system can evolve into periodic, quasi-periodic, chaotic and hyperchaotic behaviours. And the new dynamical system is hyperchaotic in a large region. In comparison with other known hyperchaos, the two positive Lyapunov exponents of the new system are relatively more larger. Thus it has more complex degree.[第一段] 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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A hyperchaos generated from Lorenz system 总被引:1,自引:0,他引:1
Xingyuan Wang 《Physica A》2008,387(14):3751-3758
This paper presents a four-dimension hyperchaotic Lorenz system, obtained by adding a nonlinear controller to Lorenz chaotic system. The hyperchaotic Lorenz system is studied by bifurcation diagram, Lyapunov exponents spectrum and phase diagram. Numerical simulations show that the new system’s behavior can be convergent, divergent, periodic, chaotic and hyperchaotic when the parameter varies. 相似文献
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A new four-dimensional chaotic system with first Lyapunov exponent of about 22,hyperbolic curve and circular paraboloid types of equilibria and its switching synchronization by an adaptive global integral sliding mode control 下载免费PDF全文
This paper presents a new four-dimensional(4 D) autonomous chaotic system which has first Lyapunov exponent of about 22 and is comparatively larger than many existing three-dimensional(3 D) and 4 D chaotic systems.The proposed system exhibits hyperbolic curve and circular paraboloid types of equilibria.The system has all zero eigenvalues for a particular case of an equilibrium point.The system has various dynamical behaviors like hyperchaotic,chaotic,periodic,and quasi-periodic.The system also exhibits coexistence of attractors.Dynamical behavior of the new system is validated using circuit implementation.Further an interesting switching synchronization phenomenon is proposed for the new chaotic system.An adaptive global integral sliding mode control is designed for the switching synchronization of the proposed system.In the switching synchronization,the synchronization is shown for the switching chaotic,stable,periodic,and hybrid synchronization behaviors.Performance of the controller designed in the paper is compared with an existing controller. 相似文献
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This Letter presents a new hyperchaotic system by introducing an additional state feedback into a three-dimensional quadratic chaotic system. The system only has one equilibrium, but it can evolve into periodic, quasi-periodic, chaotic and hyperchaotic dynamical behaviors. Basic bifurcation analysis of the new system is investigated by means of Lyapunov exponent spectrum and bifurcation diagrams. We find that the new hyperchaotic system possesses two big positive Lyapunov exponents within a large range of parameters. Therefore, the new hyperchaotic system may have good application prospects. 相似文献
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Continuous-time chaotic systems: Arbitrary full-state hybrid projective synchronization via a scalar signal 下载免费PDF全文
Giuseppe Grassi 《中国物理 B》2013,(8):333-338
Relerrlng to contlnuous-Ume claaotlc systems, tills paper presents a new projective syncnromzatlon scheme, wnlcn enables each drive system state to be synchronized with a linear combination of response system states for any arbitrary scaling matrix. The proposed method, based on a structural condition related to the uncontrollable eigenvalues of the error system, can be applied to a wide class of continuous-time chaotic (hyperchaotic) systems and represents a general framework that includes any type of synchronization defined to date. An example involving a hyperchaotic oscillator is reported, with the aim of showing how a response system attractor is arbitrarily shaped using a scalar synchronizing signal only. Finally, it is shown that the recently introduced dislocated synchronization can be readily achieved using the conceived scheme. 相似文献