Dynamical analysis and FPGA implementation of a large range chaotic system with coexisting attractors

Xian, Yongju; Xia, Cheng; Guo, Tao-tao; Fu, Kun-rong; Xu, Chuan

doi:10.1016/j.rinp.2018.06.022

Cited by 12 publications

(5 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The system proposed by Xian [53] is a new generalized third-order Lü chaotic system formed by three linear terms and four cross-product terms. The system can be described aṡ=…”

Section: System Descriptionmentioning

confidence: 99%

“…The proposed strategy can be applied to a very wide class of systems. However, for simplicity, the attention is focused on a system recently reported by Xian et al in [53]. Despite the similarity between this system and the system synchronized by Yassen in [49] (the main difference is only a unique crossproduct term), Wang's technique is not able to handle this new system.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control

et al. 2019

View full text Add to dashboard Cite

In this paper, a new linear feedback controller for synchronization of two identical chaotic systems in a master-slave configuration is presented. This controller requires knowing a priori Lipschitz constant of the nonlinear function of the chaotic system on its attractor. The controller development is based on an algebraic Riccati equation. If the gain matrix and the matrices of Riccati equation are selected in such a way that a unique positive definite solution is obtained for this equation, then, with respect to previous works, a stronger result can be guaranteed here: the exponential convergence to zero of the synchronization error. Additionally, the nonideal case is also studied, that is, when unmodeled dynamics and/or disturbances are present in both master system and slave system. On this new condition, the synchronization error does not converge to zero anymore. However, it is still possible to guarantee the exponential convergence to a bounded zone. Numerical simulation confirms the satisfactory performance of the suggested approach.

show abstract

“…The system proposed by Xian [53] is a new generalized third-order Lü chaotic system formed by three linear terms and four cross-product terms. The system can be described aṡ=…”

Section: System Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control

et al. 2019

View full text Add to dashboard Cite

show abstract

“…In addition, in recent years, chaotic systems with multistability characteristics are gradually becoming a hot issue in chaotic theory and application research [16][17][18][19][20][21] . Multi-stability phenomenon usually refers to the phenomenon that different manifolds coexist in the system when different initial values are taken when the system parameters are unchanged.…”

Section: Introductionmentioning

confidence: 99%

Multi-stability and FPGA Implementation of a Conservative Chaotic System

Song¹

2022

Proceedings of International Conference on Artificial Life and Robotics

View full text Add to dashboard Cite

The paper first studies the reason why a three-dimensional volume conservative chaotic system proposed by Vaidyanathan and Volos can generate chaos by analyzing mechanics and energy. Then, based on numerical methods including balance characteristics, Lyapunov exponents, bifurcation diagrams, phase trajectories and so on, multi-stability of the three-dimensional volume conservative chaotic system are discovered. In addition, the threedimensional volume conservative chaotic system is realized by using FPGA, and all the results from FPGA implementation are consistent with those from numerical analysis.

show abstract

“…A specific method is used to synchronize chaotic and super-chaotic systems with the possibility of oscillation of two or more systems. One approach is to synchronize two nonlinear systems from the master-slave perspective [22]. This approach was first reported by Pecora and Carroll, who were able to develop an effective approach [23].…”

Section: Introduction 1background and Motivationmentioning

confidence: 99%

Nonsingular Integral-Type Dynamic Finite-Time Synchronization for Hyper-Chaotic Systems

Alattas

Mostafaee

Sambas³

et al. 2021

Mathematics

View full text Add to dashboard Cite

In this study, the synchronization problem of chaotic systems using integral-type sliding mode control for a category of hyper-chaotic systems is considered. The proposed control method can be used for an extensive range of identical/non-identical master-slave structures. Then, an integral-type dynamic sliding mode control scheme is planned to synchronize the hyper-chaotic systems. Using the Lyapunov stability theorem, the recommended control procedure guarantees that the master-slave hyper-chaotic systems are synchronized in the existence of uncertainty as quickly as possible. Next, in order to prove the new proposed controller, the master-slave synchronization goal is addressed by using a new six-dimensional hyper-chaotic system. It is exposed that the synchronization errors are completely compensated for by the new control scheme which has a better response compared to a similar controller. The analog electronic circuit of the new hyper-chaotic system using MultiSIM is provided. Finally, all simulation results are provided using MATLAB/Simulink software to confirm the success of the planned control method.

show abstract

Dynamical analysis and FPGA implementation of a large range chaotic system with coexisting attractors

Cited by 12 publications

References 18 publications

Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control

Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control

Multi-stability and FPGA Implementation of a Conservative Chaotic System

Nonsingular Integral-Type Dynamic Finite-Time Synchronization for Hyper-Chaotic Systems

Contact Info

Product

Resources

About