共查询到19条相似文献,搜索用时 93 毫秒
1.
Adaptive generalized functional synchronization of chaotic systems with unknown parameters 下载免费PDF全文
A universal adaptive generalized functional synchronization approach to any two different or identical chaotic systems with unknown parameters is proposed, based on a unified mathematical expression of a large class of chaotic system. Self-adaptive parameter law and control law are given in the form of a theorem. The synchronization between the three-dimensional R6ssler chaotic system and the four-dimensional Chen's hyper-chaotic system is studied as an example for illustration. The computer simulation results demonstrate the feasibility of the method proposed. 相似文献
2.
In this paper, a new numerical simulation approach is proposed for the
study of open-loop frequency response of a chaotic masking system. Using
Chua's circuit and the Lorenz system as illustrative examples, we have shown
that one can employ chaos synchronization to separate the feedback network
from a chaotic masking system, and then use numerical simulation to obtain
the open-loop synchronization response, the phase response, and the
amplitude response of a chaotic masking system. Based on the analysis of the
frequency response, we have also proved that changing the amplitude of the
exciting (input) signal within normal working domain does not influence the
frequency response of the chaotic masking system. The new numerical
simulation method developed in this paper can be extended to consider the
open-loop frequency response of other systems described by differential or
difference equations. 相似文献
3.
A simple method to simultaneously achieve synchronization andanti-synchronization in chaotic systems 下载免费PDF全文
In this paper, a novel adaptive control approach is
presented to simultaneously achieve synchronization and
anti-synchronization in partially linear chaotic systems. Through
appropriately separating state vectors of such systems,
synchronization and anti-synchronization could be simultaneously
realized in different subspaces, which may be strictly proven
theoretically. Simulation results for a Lorenz chaotic system and a
new hyper-chaotic system are provided to illustrate the
effectiveness of the proposed method. Finally, a new secure
communication scheme based on such a synchronization phenomenon of
the hyper-chaotic system is demonstrated. Numerical results show
success in transmitting a periodic signal with high security. 相似文献
4.
In this paper, a new hyperchaotic system is proposed, and the basic properties of this system are analyzed by means of the equilibrium point, a Poincar map, the bifurcation diagram, and the Lyapunov exponents. Based on the passivity theory, the controllers are designed to achieve the new hyperchaotic system globally, asymptotically stabilized at the equilibrium point, and also realize the synchronization between the two hyperchaotic systems under different initial values respectively. Finally, the numerical simulation results show that the proposed control and synchronization schemes are effective. 相似文献
5.
The PC synchronization of a class of chaotic systems is investigated in this paper. The drive system is assumed to have only one state variable available. By constructing proper observers, some novel criteria for PC synchronization are proposed via event-triggered control scheme. The Lu¨ system and Chen system are taken as examples to demonstrate the efficiency of the proposed approach. 相似文献
6.
Chaos in fractional-order generalized Lorenz system and its synchronization circuit simulation 总被引:1,自引:0,他引:1 下载免费PDF全文
The chaotic behaviours of a fractional-order generalized Lorenz
system and its synchronization are studied in this paper. A new
electronic circuit unit to realize fractional-order operator is
proposed. According to the circuit unit, an electronic circuit is
designed to realize a 3.8-order generalized Lorenz chaotic system.
Furthermore, synchronization between two fractional-order systems is
achieved by utilizing a single-variable feedback method. Circuit
experiment simulation results verify the effectiveness of the
proposed scheme. 相似文献
7.
Fault tolerant synchronization of chaotic systems based on T-S fuzzy model with fuzzy sampled-data controller 下载免费PDF全文
In this paper the fault tolerant synchronization of two
chaotic systems based on fuzzy model and sample data is investigated.
The problem of fault tolerant synchronization is formulated to study
the global asymptotical stability of the error system with the fuzzy
sampled-data controller which contains a state feedback controller
and a fault compensator. The synchronization can be achieved no
matter whether the fault occurs or not. To investigate the stability
of the error system and facilitate the design of the fuzzy
sampled-data controller, a Takagi--Sugeno (T--S) fuzzy model is
employed to represent the chaotic system dynamics. To acquire the
good performance and produce less conservative analysis result, a
new parameter-dependent Lyapunov--Krasovksii functional and a relaxed
stabilization technique are considered. The stability conditions
based on linear matrix inequality are obtained to achieve the fault
tolerant synchronization of the chaotic systems. Finally, a
numerical simulation is shown to verify the results. 相似文献
8.
An improved impulsive control approach to robust lag synchronization between two different chaotic systems 下载免费PDF全文
In this paper, a novel robust impulsive lag synchronization scheme for different chaotic systems with parametric uncertainties is proposed. Based on the theory of impulsive functional differential equations and a new differential inequality, some new and less conservative sufficient conditions are established to guarantee that the error dynamics can converge to a predetermined region. Finally, some numerical simulations for the Lorenz system and Chen system are given to demonstrate the effectiveness and feasibility of the proposed method. Compared with the existing results based on so-called dual-stage impulsive control, the derived results reduce the complexity of impulsive controller, moreover, a larger stable region can be obtained under the same parameters, which can be shown in the numerical simulations finally. 相似文献
9.
In this paper a new dynamic system with integer and fractional order is investigated. It is shown that determining the effect of quadratic coefficients to the systematic structure can be converted to determining that of coefficients of the linear part. Under some parametric conditions, the system can produce chaotic attractors similar as Lorenz attractor. A constructive theorem is proposed for generalized synchronization related to the fractional-order chaotic system and an application of this new system is demonstrated. 相似文献
10.
General hybrid projective complete dislocated synchronization with non-derivative and derivative coupling based on parameter identification in several chaotic and hyperchaotic systems 下载免费PDF全文
According to the Lyapunov stability theorem, a new general hybrid projective complete dislocated synchronization scheme with non-derivative and derivative coupling based on parameter identification is proposed under the framework of drive-response systems. Every state variable of the response system equals the summation of the hybrid drive systems in the previous hybrid synchronization. However, every state variable of the drive system equals the summation of the hybrid response systems while evolving with time in our method. Complete synchronization, hybrid dislocated synchronization, projective synchronization, non-derivative and derivative coupling, and parameter identification are included as its special item. The Lorenz chaotic system, Rssler chaotic system, memristor chaotic oscillator system, and hyperchaotic Lü system are discussed to show the effectiveness of the proposed methods. 相似文献
11.
A. A. Koronovskii O. I. Moskalenko S. A. Shurygina A. E. Hramov 《Bulletin of the Russian Academy of Sciences: Physics》2012,76(12):1339-1342
The existing concept of the weak and strong synchronization in discrete maps is verified. The state vectors of interacting chaotic systems are shown to be related to each other by the functional relation only in the strong synchronization regime; in the weak regime, the prehistory must be taken into account. An approach to determining the threshold of generalized synchronization in such systems is proposed. 相似文献
12.
Free-matrix-based time-dependent discontinuous Lyapunov functional for synchronization of delayed neural networks with sampled-data control 下载免费PDF全文
This paper is concerned with the synchronization of delayed neural networks via sampled-data control. A new technique, namely, the free-matrix-based time-dependent discontinuous Lyapunov functional approach, is adopted in constructing the Lyapunov functional, which takes advantage of the sampling characteristic of sawtooth input delay. Based on this discontinuous Lyapunov functional, some less conservative synchronization criteria are established to ensure that the slave system is synchronous with the master system. The desired sampled-data controller can be obtained through the use of the linear matrix inequality(LMI) technique. Finally, two numerical examples are provided to demonstrate the effectiveness and the improvements of the proposed methods. 相似文献
13.
In this Letter, we propose a method for generalized and projective synchronization in modulated time-delayed systems using nonlinear active control. Sufficient condition for generalized synchronization is calculated analytically by Krasovskii-Lyapunov stability theory. The validity of the proposed algorithm has been confirmed by simulation results. The proposed method helps to find the explicit form of the functional relation between the synchronized variables, for which very few formulations are known at the present moment. Both usual and lag-anticipatory cases can be treated on the same footing. 相似文献
14.
15.
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
16.
时空混沌系统的主动-间隙耦合同步 总被引:5,自引:0,他引:5
提出了离散系统中的主动-间隙耦合同步方法。该方法由同步相和自治相组成,在同步相,同步方案使得混沌系统趋于同步,而在自治相,两系统间的误差将迅速放大,导致同步失去。但只要同步相足够大,最终可实现系统的完全同步。从理论上讨论了同步条件,并在数值实验上讨论了同步相与耦合强度的关系。 相似文献
17.
S. Bhalekar 《The European physical journal. Special topics》2014,223(8):1495-1508
Chaos synchronization in fractional order chaotic systems is receiving increasing attention due to its applications in secure communications. In this article we use an active control technique to synchronize incommensurate non-identical fractional order chaotic dynamical systems. The relation between system order and the synchronization time is discussed. It is observed that the synchronization can be achieved faster by increasing the system order. Further we provide an application of the proposed theory in secure communication. 相似文献
18.