共查询到20条相似文献,搜索用时 15 毫秒
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依据非线性动力学混沌理论,采用受外力驱动的转动马达装置,依托PASCO系统的数据采集软件,开发了适应大学物理实验的受外力驱动的混沌摆实验。探讨了新型基于外力驱动的混沌摆实验仪在研究混沌效用上的应用,实验发现利用该装置可以直观的研究系统的初值敏感性,奇异子现象等,操作简单、直观、灵敏度高,实验除了具有实际应用价值外,同时适合在高等学校大学物理基础实验中开设出相应的实验教学内容。 相似文献
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研究了异结构混沌系统之间的同步控制问题.采用非线性反馈控制方法实现了3D混沌系统和单模激光Lorenz混沌系统之间的混沌同步.根据系统的稳定性理论,得到了非线性反馈控制器的结构和反馈控制增益的取值范围.仿真模拟的结果表明:目标系统和响应系统达到完全同步,两系统状态变量随时间的演化轨迹完全一致,并且误差变量经过短暂的时间序列以后始终平稳地趋于零.仿真模拟的结果证明了这种方法的有效性. 相似文献
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We introduce the predictive control theory into the study of chaos control and propose a direct optimizing predictive control algorithm based on a neural network model. The proposed control system stabilizes the chaotic motion in an unknown chaotic system onto the desired target trajectory. Compared with the existing similar algorithms, the proposed control system has faster response, so it requires much shorter time for the stabilization of the chaotic systems.The proposed approach can control hyperchaos and the algorithm is simple. The convergence of the control algorithm and the stability of the control system can be guaranteed. The theoretic analysis and simulations demonstrate the effectiveness of the algorithm. 相似文献
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声光双稳系统混沌的控制 总被引:8,自引:0,他引:8
对声光双稳系统的混沌态提出参数连续延时反馈的控制技术。数值分析表明,在一定的控制强度下,这种控制使系统在原混沌区具有负的最大李亚普诺夫指数,并且能够保证控制的目标状态是原系统的失稳不动点中稳定周期轨道。文章通过与实验结果的比较,验证了本控制方法的有效性。 相似文献
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提出一种基于可重复混沌扩频序列的差分混沌键控保密通信系统, 并对该系统的误码率进行分析。通过复制差分混沌键控调制信号的参考信号产生重复的混沌扩频序列, 再和经串并转换后的部分数据流相乘, 其余并行数据流按照传统差分混沌键控进行调制, 两部分信号相加后发送到信道中进行传输。在接收端进行相关解调恢复出原信息。理论分析和仿真结果表明: 在多径衰落信道下, 该系统的误码率低于DCSK、CDSK和CD-DCSK系统, 且扩频因子越小, 误码率越低。信道中叠加服从高斯分布噪声时的系统误码率相比叠加服从瑞利分布噪声时的小。 相似文献
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This paper deals with the problem of chaos control and
synchronization of the Chen--Liao system. From rigorous mathematic
justification, the chaotic trajectories of the Chen--Liao system are
led to a type of points whose four-dimensional coordinates have a
particular functional relation among them. Meanwhile, a new
synchronization manner, reduced-order generalized synchronization
(RGS), is proposed which has the characteristic of having a
functional relation between the slave and the partial master systems.
It is shown that this new synchronization phenomenon can be realized
by a novel technique. Numerical simulations have verified the
effectiveness of the proposed scheme. 相似文献
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电光双稳系统中混沌控制的动态存储 总被引:2,自引:0,他引:2
报道了电光双稳系统输出振荡混沌区的二次反分岔区域中使用连续自反馈控制的方法实现动态存储的实验研究。李雅普诺夫指数分析和计算机数值模拟表明这处方法是可行的,混沌控制前后输出振荡分岔图的对比显示了使用这种方法实现稳定动态存储的物理机制。实验结果与理论模拟一致,动态存储,电光双稳系统。 相似文献
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耦合双稳映象格子模型的时空混沌控制 总被引:1,自引:0,他引:1
变量反馈技术实现了耦合双稳映象格子模型的时空混沌控制.数值实验结果表明,利用不同的反馈技术和不同的反馈强度,可以将双稳映象系统的混沌及耦合双稳映象格子模型的时空混沌控制到不动点或周期轨道.变量反馈控制法除了局域双稳映象系统的定态点外,不需要先获取耦合双稳映象格子时空系统的动力学信息,它对抑制耦合双稳映象系统中的湍流具有一定的指导作用. 相似文献
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In this paper, a three-terminal memristor is constructed and studied through changing dual-port output instead of one-port. A new conservative memristor-based chaotic system is built by embedding this three-terminal memristor into a newly proposed four-dimensional (4D) Euler equation. The generalized Hamiltonian energy function has been given, and it is composed of conservative and non-conservative parts of the Hamiltonian. The Hamiltonian of the Euler equation remains constant, while the three-terminal memristor’s Hamiltonian is mutative, causing non-conservation in energy. Through proof, only centers or saddles equilibria exist, which meets the definition of the conservative system. A non-Hamiltonian conservative chaotic system is proposed. The Hamiltonian of the conservative part determines whether the system can produce chaos or not. The non-conservative part affects the dynamic of the system based on the conservative part. The chaotic and quasiperiodic orbits are generated when the system has different Hamiltonian levels. Lyapunov exponent (LE), Poincaré map, bifurcation and Hamiltonian diagrams are used to analyze the dynamical behavior of the non-Hamiltonian conservative chaotic system. The frequency and initial values of the system have an extensive variable range. Through the mechanism adjustment, instead of trial-and-error, the maximum LE of the system can even reach an incredible value of 963. An analog circuit is implemented to verify the existence of the non-Hamiltonian conservative chaotic system, which overcomes the challenge that a little bias will lead to the disappearance of conservative chaos. 相似文献
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Image encryption based on a chaos system can effectively protect the privacy of digital images. It is said that a 3D chaotic system has a larger parameter range, better unpredictability and more complex behavior compared to low-dimension chaotic systems. Motivated by this fact, we propose a new image cryptosystem that makes use of a 3D chaotic system. There are three main steps in our scheme. In the first step, the chaotic system uses the hash value of the plaintext image to generate three sequences. In step two, one of the sequences is used to dynamically select confusion and diffusion methods, where confusion and diffusion have three algorithms, respectively, and will produce 32n (n > 100) combinations for encryption. In step three, the image is divided into hundreds of overlapping subblocks, along with the other two sequences, and each block is encrypted in the confusion and diffusion process. Information entropy, NPCR, UACI results and various security analysis results show that the algorithm has a better security performance than existing, similar algorithms, and can better resist clipping, noise, statistical analysis and other attacks. 相似文献
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Considering the security of a communication system, designing a high-dimensional complex chaotic system suitable for chaotic synchronization has become a key problem in chaotic secure communication. In this paper, a new 5-D hyperchaotic system with high order nonlinear terms was constructed and proved to be hyperchaotic by dynamical characterization characteristics, the maximum Lyapunov exponent was close to 2, and there was a better permutation entropy index, while a valid chaotic sequence could be generated in three cycles in the FPGA (Field Programmable Gate Array)-based implementation. A multivariable nonlinear feedback synchronous controller based on FPGA was proposed to design and implement synchronization of high order complex hyperchaotic systems. The results show that the error signal converged to 0 rapidly under the effect of the nonlinear feedback synchronous controller. This lays the foundation for the synchronization of high order complex chaotic systems. 相似文献
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Nonlinear feedback synchronisation control between fractional-order and integer-order chaotic systems
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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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High-dimensional chaos was controlled with the occasional proportional feedback technique in a delayed optical bistable system which consists of a laser diode interferometer with a delayed opto-electronic feedback loop. Both the experiment and the numerical simulation showed that a large number of periodic orbits can be stabilized by controlling the chaotic attractor. The transient state of the trajectory under control was demonstrated. 相似文献