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In this paper,a novel hyperchaotic system with one nonlinear term and its fractional order system are proposed.Furthermore,synchronization between two fractional-order systems with different fractional-order values is achieved.The proposed synchronization scheme is simple and theoretically rigorous.Numerical simulations are in agreement with the theoretical analysis. 相似文献
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首先,提出了一个新的分数阶混沌系统,通过对系统第二个等式的线性项x作绝对值运算,并分析了其唯一的参数k,该参数在一定区间内取值时可将混沌吸引子由两个翼的结构变换为四翼的拓扑结构,从而实现翼倍增. 其次,分别采用Matlab和Multisim对新的分数阶系统及其翼倍增系统进行了数值模拟和电路仿真,电路仿真结果和数值模拟结果相一致. 最后,基于滑模变结构控制理论和分数阶稳定性定理,为新的分数阶系统及其翼倍增系统设计了新的分数阶积分滑模控制器实现系统的同步,仿真结果和理论分析相一致,证实了所设计滑模控制器的有效性.
关键词:
分数阶
翼倍增
滑模控制
同步 相似文献
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We propose a new image encryption algorithm on a basis of the fractional-order hyperchaotic Lorenz system. While in the process of generating a key stream, the system parameters and the derivative order are embedded in the proposed algorithm to enhance the security. Such an algorithm is detailed in terms of security analyses, including correlation analysis, information entropy analysis, run statistic analysis, mean-variance gray value analysis, and key sensitivity analysis. The experimental results demonstrate that the proposed image encryption scheme has the advantages of large key space and high security for practical image encryption. 相似文献
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A new image encryption algorithm based on the fractional-order hyperchaotic Lorenz system 总被引:3,自引:0,他引:3 下载免费PDF全文
We propose a new image encryption algorithm on the basis of the fractional-order hyperchaotic Lorenz system. While in the process of generating a key stream, the system parameters and the derivative order are embedded in the proposed algorithm to enhance the security. Such an algorithm is detailed in terms of security analyses, including correlation analysis, information entropy analysis, run statistic analysis, mean-variance gray value analysis, and key sensitivity analysis. The experimental results demonstrate that the proposed image encryption scheme has the advantages of large key space and high security for practical image encryption. 相似文献
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A new four-dimensional hyperjerk system with stable equilibrium point,circuit implementation,and its synchronization by using an adaptive integrator backstepping control 下载免费PDF全文
This paper reports a new simple four-dimensional(4 D) hyperjerk chaotic system. The proposed system has only one stable equilibrium point. Hence, its strange attractor belongs to the category of hidden attractors. The proposed system exhibits various dynamical behaviors including chaotic, periodic, stable nature, and coexistence of various attractors. Numerous theoretical and numerical methods are used for the analyses of this system. The chaotic behavior of the new system is validated using circuit implementation. Further, the synchronization of the proposed systems is shown by designing an adaptive integrator backstepping controller. Numerical simulation validates the synchronization strategy. 相似文献
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This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system, studies 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. Furthermore, effective linear feedback control method is used to suppress hyperchaos to unstable equilibrium, periodic orbits and quasi-periodic orbits. Numerical simulations are presented to show these results. 相似文献
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参考Chen系统和Liu系统的构建模式, 对Lorenz系统进行改造, 构建一个新的三维自治混沌系统. 讨论了平衡点的性质, 给出了系统的功率谱图、 Poincare截面图, 并利用分岔图和Lyapunov指数谱详细分析了各参数变化对系统动力学行为的影响. 研究发现, 交叉乘积项参数d和平方项参数e变化时, 系统的Lyapunov指数谱保持恒定, 且参数d具有全局非线性调幅功能, 参数e具有局部非线性调幅功能. 另外, 设计了该混沌系统的模拟电路, 实验结果证实了混沌系统的可实现性. 相似文献
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Based on the Lorenz chaotic system, this paper constructs a new four-dimensional hyperchaotic Lorenz system, and studies the basic dynamic behaviours of the system. The Routh--Hurwitz theorem is applied to derive the stability conditions of the proposed system. Furthermore, based on Lyapunov stability theory, an adaptive controller is designed and the new four-dimensional hyperchaotic Lorenz system is controlled at equilibrium point. Numerical simulation results are presented to illustrate the effectiveness of this method. 相似文献
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Based on the Chen chaotic system, a new four-dimensional hyperchaotic Chen system is constructed, and the basic dynamic behaviours of the system were studied, and the generalized synchronization has been observed in the coupled four-dimensional hyperchaotic Chen system with unknown parameters. The Routh--Hurwitz theorem is used to derive the conditions of stability of this system. Furthermore based on Lyapunov stability theory, the control laws and adaptive laws of parameters are obtained to make generalized synchronization of the coupled new four-dimensional hyperchaotic Chen systems. Numerical simulation results are presented to illustrate the effectiveness of this method. 相似文献
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A general method for synchronizing an integer-order chaotic system and a fractional-order chaotic system 下载免费PDF全文
This paper investigates the synchronization between integer-order and fractional-order chaotic systems.By intro-ducing fractional-order operators into the controllers,the addressed problem is transformed into a synchronization one among integer-order systems.A novel general method is presented in the paper with rigorous proof.Based on this method,effective controllers are designed for the synchronization between Lorenz systems with an integer order and a fractional order,and for the synchronization between an integer-order Chen system and a fractional-order Liu system.Numerical results,which agree well with the theoretical analyses,are also given to show the effectiveness of this method. 相似文献
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基于波特图的频域近似方法,研究了分数阶Liu混沌系统,并设计了一种树形电路单元来实现分数阶Liu混沌系统,通过对2.7阶Liu混沌系统的电路仿真和实验,以及α=0.8—0.1(步长0.1)Liu混沌系统的电路仿真,验证了树形电路单元的有效性,证实分数阶Liu混沌系统中确实存在混沌现象,且存在混沌的最低阶数为0.3. 设计简单有效的线性反馈控制器,实现了分数阶Liu混沌系统的混沌控制.
关键词:
分数阶Liu系统
电路实验
混沌控制 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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A novel 3D fractional-order chaotic system is proposed in this paper. And the system equations consist of nine terms including four nonlinearities. It's interesting to see that this new fractional-order chaotic system can generate one-wing, two-wing, three-wing and four-wing attractors by merely varying a single parameter. Moreover, various coexisting attractors with respect to same system parameters and different initial values and the phenomenon of transient chaos are observed in this new system. The complex dynamical properties of the presented fractional-order systems are investigated by means of theoretical analysis and numerical simulations including phase portraits, equilibrium stability, bifurcation diagram and Lyapunov exponents, chaos diagram, and so on. Furthermore, the corresponding implementation circuit is designed. The Multisim simulations and the hardware experimental results are well in accordance with numerical simulations of the same system on the Matlab platform, which verifies the correctness and feasibility of this new fractional-order chaotic system. 相似文献
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Based on the Lü system, a new chaotic system is constructed, which can generate
a Lorenz-like attractor, Chen-like attractor, Lü-like attractor and new
attractor when its parameters are chosen appropriately. The detailed dynamical
behaviours of this system are also investigated, including equilibria and stability,
bifurcations, and Lyapunov exponent spectrum. Moreover, a novel analogue circuit
diagram is designed for the verification of various attractors. 相似文献