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In this paper, the synchronization in a unified fractional-order
chaotic system is investigated by two methods. One is the
frequency-domain method that is analysed by using the Laplace
transform theory. The other is the time-domain method that is
analysed by using the Lyapunov stability theory. Finally, the
numerical simulations are used to illustrate the effectiveness
of the proposed synchronization methods. 相似文献
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Synchronization between a novel class of fractional-order and integer-order chaotic systems via a sliding mode controller 下载免费PDF全文
<正>In order to figure out the dynamical behaviour of a fractional-order chaotic system and its relation to an integerorder chaotic system,in this paper we investigate the synchronization between a class of fractional-order chaotic systems and integer-order chaotic systems via sliding mode control method.Stability analysis is performed for the proposed method based on stability theorems in the fractional calculus.Moreover,three typical examples are carried out to show that the synchronization between fractional-order chaotic systems and integer-orders chaotic systems can be achieved. Our theoretical findings are supported by numerical simulation results.Finally,results from numerical computations and theoretical analysis are demonstrated to be a perfect bridge between fractional-order chaotic systems and integer-order chaotic systems. 相似文献
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Function projective synchronization between fractional-order chaotic systems and integer-order chaotic systems 下载免费PDF全文
This paper investigates the function projective synchronization between fractional-order chaotic systems and integer-order chaotic systems using the stability theory of fractional-order systems. The function projective synchronization between three-dimensional (3D) integer-order Lorenz chaotic system and 3D fractional-order Chen chaotic system are presented to demonstrate the effectiveness of the proposed scheme. 相似文献
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Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems 下载免费PDF全文
This paper focuses on the synchronisation between fractional-order and integer-order chaotic systems.Based on Lyapunov stability theory and numerical differentiation,a nonlinear feedback controller is obtained to achieve the synchronisation between fractional-order and integer-order chaotic systems.Numerical simulation results are presented to illustrate the effectiveness of this method. 相似文献
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Control of a fractional chaotic system based on a fractional-order resistor-capacitor filter 下载免费PDF全文
We present a new fractional-order resistor-capacitor controller and a novel control method based on the fractional- order controller to control an arbitrary three-dimensional fractional chaotic system. The proposed control method is simple, robust, and theoretically rigorous, and its anti-noise performance is satisfactory. Numerical simulations are given for several fractional chaotic systems to verify the effectiveness and the universality of the proposed control method. 相似文献
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We present a new fractional-order resistor-capacitor controller and a novel control method based on the fractional-order controller to control an arbitrary three-dimensional fractional chaotic system. The proposed control method is simple, robust, and theoretically rigorous, and its anti-noise performance is satisfactory. Numerical simulations are given for several fractional chaotic systems to verify the effectiveness and the universality of the proposed control method. 相似文献
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This paper introduces a new four-dimensional (4D) hyperchaotic system, which has only two quadratic nonlinearity parameters but with a complex topological structure. Some complicated dynamical properties are then investigated in detail by using bifurcations, Poincare mapping, LE spectra. Furthermore, a simple fourth-order electronic circuit is designed for hardware implementation of the 4D hyperchaotic attractors. In particular, a remarkable fractional-order circuit diagram is designed for physically verifying the hyperchaotic attractors existing not only in the integer-order system but also in the fractional-order system with an order as low as 3.6. 相似文献
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本文首先通过数值仿真研究了分数阶Genesio-Tesi系统的混沌动态。发现阶数小于3的分数阶Genesio-Tesi系统存在混沌行为和该分数阶系统存在混沌的最小阶是2.4。然后提出了一种通过标量驱动信号同步分数阶混沌Genesio-Tesi系统的驱动响应同步方法。基于分数阶系统的稳定理论,该同步方法是简单的和理论上严格的。它不需要计算条件Lyapunov指数。仿真结果说明了所提同步方法的有效性。 相似文献
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This paper studies the chaotic behaviours of the fractional-order unified chaotic system. Based on the approximation method in frequency domain, it proposes an electronic circuit model of tree shape to realize the fractional-order operator. According to the tree shape model, an electronic circuit is designed to realize the 2.7-order unified chaotic system. Numerical simulations and circuit experiments have verified the existence of chaos in the fraction-order unified system. 相似文献
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通过设计一个非线性反馈控制器,实现了分数阶混沌系统的同步.与其他的分数阶混沌系统同步方法相比,提出的控制器设计方法保留了部分误差系统中的非线性项,而没有完全抵消同步误差系统的非线性项,有效改善了误差系统的控制性能.同时,应用区间分数阶线性时不变系统稳定性原理和线性矩阵不等式技术,得到了一个新的分数阶混沌系统同步的充分条件,进而获得的控制器保证了混沌系统同步.仿真结果验证了提出方法的有效性.
关键词:
区间分数阶时不变系统
分数阶混沌系统
混沌同步 相似文献
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Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems) 下载免费PDF全文
Based on the idea of tracking control and stability theory of fractional-order systems, a controller is designed to synchronize the fractional-order chaotic system with chaotic systems of integer orders, and synchronize the different fractional-order chaotic systems. The proposed synchronization approach in this paper shows that the synchronization between fractional-order chaotic systems and chaotic systems of integer orders can be achieved, and the synchronization between different fractional-order chaotic systems can also be realized. Numerical experiments show that the present method works very well. 相似文献
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