Alternative implementation of the chaotic Chen–Lee system

Yau

2014

Entropy

Abstract:The work is aimed at using the chaos synchronization error dynamics (CSED) technique for defect pattern recognition in gas insulated switchgear (GIS). The radiated electromagnetic waves generated due to internal defects were measured by the self-made ultrahigh frequency (UHF) micro-strip antenna, so as to determine whether partial discharge will occur. Firstly, a data pretreatment is performed on the measured raw data for the purpose of computational burden reduction. A characteristic matrix is then constructed according to dynamic error trajectories in a chaos synchronization system, subsequent to which characteristics are extracted. A comparison with the existing Hilbert-Huang Transform (HHT) method reveals that the two characteristics extracted from the CSED results presented herein using the fractal theory were recognized at a higher rate pattern.

Section: Open Accessmentioning

confidence: 99%

“…The system in which a chaotic system is used to track the chaotic behavior of another system is called chaos synchronization error dynamics (CSED) [19]. Generally, a chaotic system contains Master and Slave systems that exist in a master and servant relationship.…”

Section: Chaos Synchronization Error Dynamicsmentioning

confidence: 99%

Chaos Synchronization Error Technique-Based Defect Pattern Recognition for GIS through Partial Discharge Signal Analysis

Yau

2014

Entropy

“…In Ref. 21, an electronic circuit was designed for the normalized Chen-Lee system by a factor of 10 and is shown in Fig. 3 as the drive system.…”

Section: Circuit Implementationmentioning

confidence: 99%

“…It was proven that this system is the governing set of equations for gyro motion with feedback control. Complete synchronization, controlling chaos with multiple time-delays, electronic circuit implementation, fractional-order behavior, and other aspects of this system [18][19][20][21][22][23][24] have recently been studied.…”

Section: Introductionmentioning

confidence: 99%

Impulsive Synchronization and Its Implementation in Chen–lee Systems

Tam

Lao

Sheu

et al. 2011

Int. J. Mod. Phys. B

Self Cite

The impulsive synchronization of two chaotic Chen-Lee systems was investigated in this paper. Based on Lyapunov's direct method, sufficient conditions for the global exponential synchronization and global asymptotical synchronization were derived. Further, the theoretical results were verified by a numerical simulation. In addition, the impulsive synchronization of two chaotic Chen-Lee systems was also implemented using an electronic circuit.

“…The Chen-Lee system relates to gyro motion originating from the anticontrol of chaos in a rigid body, and it can be implemented in electronic circuits [22]. Recently, Sheu et al studied chaos of fractionalorder Chen-Lee systems [23].…”

Section: Introductionmentioning

confidence: 99%

Chaos and hybrid projective synchronization of commensurate and incommensurate fractional-order Chen–Lee systems

Chang

2010

Nonlinear Dyn

Self Cite

Recently, the fractional-order Chen-Lee system was proven to exhibit chaos by the presence of a positive Lyapunov exponent. However, the existence of chaos in fractional-order Chen-Lee systems has never been theoretically proven in the literature. Moreover, synchronization of chaotic fractional-order systems was extensively studied through numerical simulations in some of the literature, but a theoretical analysis is still lacking. Therefore, we devoted ourselves to investigating the theoretical basis of chaos and hybrid projective synchronization of commensurate and incommensurate fractional-order Chen-Lee systems in this paper. Based on the stability theorems of fractional-order systems, the necessary conditions for the existence of chaos and the controllers for hybrid projective synchronization were derived. The numerical simulations show coincidence with the theoretical results.