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A 3 - D Novel Highly Chaotic System with Four Quadratic Nonlinearities, its Adaptive Control and Anti - Synchronization with Unknown Parameters

S. Vaidyanathan
2015 Journal of Engineering Science and Technology Review  
Also, an adaptive synchronizer is designed to achieve anti-synchronization of the identical 3-D novel chaotic systems with unknown parameters.  ...  The maximal Lyapunov exponent (MLE) of the novel chaotic system is L 1 = 11.36204, which is a large value for a polynomial chaotic system.  ...  L 1 = 11.36204, the 3-D novel chaotic system is a highly chaotic system and it has potential applications in encryption and secure communication systems.  ... 
doi:10.25103/jestr.082.15 fatcat:lfdef2pyuzbafhns7nae7ky4vu

A nalysis, Adaptive Control and Anti - Synchronization of a Six - Term Novel Jerk Chaotic System with two Exponential Nonlinearities and its Circuit Simulation

S. Vaidyanathan, Ch. K. Volos, I. M. Kyprianidis, I. N. Stouboulos, V. - T. Pham
2015 Journal of Engineering Science and Technology Review  
Moreover, an adaptive backstepping controller is designed to achieve global chaos anti-synchronization of two identical novel jerk chaotic systems with two unknown system parameters.  ...  This research work proposes a six-term novel 3-D jerk chaotic system with two exponential nonlinearities.  ...  Thus, it follows that 3-D novel jerk chaotic systems (51) and (52) are globally and exponentially anti-synchronized for all initial conditions 0 , 0 ∈ ! .  ... 
doi:10.25103/jestr.082.05 fatcat:kjzumz4iknhx5heel54xhmot3y

Analysis, Adaptive Control and Synchronization of a Novel 3-D Highly Chaotic System [chapter]

Sundarapandian Vaidyanathan
2016 Studies in Computational Intelligence  
MATLAB plots have been depicted to illustrate the phase portraits of the novel chemical chaotic attractor and the global chaos anti-synchronization of the novel 3-D chemical chaotic reactor systems via  ...  Next, new results are obtained for the adaptive anti-synchronization of the novel 3-D chemical chaotic reactor systems.  ...  A Novel Chemical Chaotic Reactor System In this section, we propose a novel chemical chaotic reactor system by modifying Huang's system (3) as Anti-Synchronization of the Novel Chemical Chaotic Reactors  ... 
doi:10.1007/978-3-319-30279-9_8 fatcat:47bcyiz37zalxhvoq5vg7yf4bi

Analysis and Anti - Synchronization of a Novel Chaotic System via Active and Adaptive Controllers

V. Sundarapandian
2013 Journal of Engineering Science and Technology Review  
This paper announces a novel 3-D chaotic system and describes its qualitative properties.  ...  Anti-synchronization of chaotic systems deals with the problem of asymptotically synchronizing the sum of states of a pair of chaotic systems called master and slave systems with the help of controllers  ...  First, we provided a detailed qualitative analysis of the novel chaotic system and described its properties.  ... 
doi:10.25103/jestr.064.06 fatcat:pfvu6wy6kbg3dctiy2xoptxcbq

Hybrid Synchronization of LIU and LU Chaotic Systems via Adaptive Control

Sundarapandian Vaidyanathan
2011 International Journal of Advanced Information Technology  
MATLAB plots have been depicted to illustrate the phase portraits of the Mathieu-Van der Pol chaotic system (2009) and the global chaos anti-synchronization of the Mathieu-Van der Pol chaotic systems with  ...  MATLAB plots have been depicted to illustrate the phase portraits of the Mathieu-Van der Pol chaotic system (2009) and the global chaos anti-synchronization of the identical Mathieu-Van der Pol chaotic  ...  ., and Pham, V.T., Analysis, adaptive control and anti-synchronization of a six-term novel jerk chaotic system with two exponential nonlinearities and its circuit simulation, Journal of Engineering Science  ... 
doi:10.5121/ijait.2011.1602 fatcat:2kntmzgjo5ejtpy4tusgmbfcgi

Fractional sliding mode control design for robust synchronization and anti-synchronization of fractional order nonlinear chaotic systems in finite time

amin ramezani, Seyed Arash Pourhashemi Shahri, Mahdi Siahi
2019 International journal of industrial electronics, control and optimization  
So, in this paper a novel sliding surface is introduced and with and without the existence of uncertainties and external disturbances, finite-time synchronization is achieved by designing a new fractional  ...  This paper deals with the problem of synchronization (anti-synchronization) of fractional nonlinear systems.  ...  Due to the significance of synchronization/anti synchronization of fractional order chaotic system in real world and scholar's view, we introduce a novel sliding manifold and new controller for synchronization  ... 
doi:10.22111/ieco.2018.25291.1045 doaj:3c4a29aac0d448ec8ef102cb8eca1448 fatcat:uyfzrywm4vabxbny323v2uxfpm

http://jestr.org/downloads/Volume8Issue2/Preface.pdf
Synchronization and Control of Chaos : Theory , Methods and Applications

Sundarapandian Vaidyanathan, Professor and Dean at the Research and Development Centre, Vel Tech University, India, Esteban Tlelo - Cuautle, Viet - Thanh Pham, Christos Volos, Professor - Researcher at the Instituto Nacional de Astrofísica, Ópticay Electrónica (INAOE), México, Lecturer at the School of Electronics and Telecommunications, Hanoi University of Science and Technology, Vietnam, Lecturer at the Physics Department, Aristotle University of Thessaloniki, Greece
2015 Journal of Engineering Science and Technology Review  
Sampath et al. propose an eight-term novel four-scroll chaotic system with cubic nonlinearity.  ...  The sensitivity to initial conditions of a chaotic system is usually referred to as butterfly effect.  ...  Vaidyanathan studies a 3-D novel highly chaotic system with four quadratic nonlinearities, its adaptive control and anti-synchronization with unknown parameters.  ... 
doi:10.25103/jestr.082.00 fatcat:gviok3ma4vabznzyc362cx2jka

A 3 - D Novel Conservative Chaotic System and its Generalized Projective Synchronization via Adaptive Control

S. Vaidyanathan, S. Pakiriswamy
2015 Journal of Engineering Science and Technology Review  
This research work proposes a five-term 3-D novel conservative chaotic system with a quadratic nonlinearity and a quartic nonlinearity.  ...  Next, an adaptive controller is designed to achieve Generalized Projective Synchronization (GPS) of two identical novel chaotic systems with unknown system parameters.  ...  Generalized projective synchronization is a general type of synchronization which generalizes complete synchronization, anti-synchronization, hybrid synchronization, and projective synchronization of chaotic  ... 
doi:10.25103/jestr.082.08 fatcat:fdopv4sxtvf45m4bseb4sil7pu

Global chaos synchronization of a four-scroll novel chaotic system via novel sliding mode control

Sundarapandian Vaidyanathan, Sivaperumal Sampath
2014 2014 International Conference on Science Engineering and Management Research (ICSEMR)  
Next, new results are obtained for the global chaos synchronization of identical chemical chaotic reactors using a novel sliding mode control method.  ...  MATLAB plots have been shown to illustrate the phase portraits of the chemical chaotic attractor and the global chaos synchronization of identical chemical chaotic attractors.  ...  ., and Pham, V.T., Analysis, adaptive control and anti-synchronization of a six-term novel jerk chaotic system with two exponential nonlinearities and its circuit simulation, Journal of Engineering Science  ... 
doi:10.1109/icsemr.2014.7043682 fatcat:qwb7h5v2rfeoxcevdkfsmmrzr4

Control and Synchronization of Chaos in RCL-Shunted Josephson Junction with Noise Disturbance Using Only One Controller Term

Di-Yi Chen, Wei-Li Zhao, Xiao-Yi Ma, Run-Fan Zhang
2012 Abstract and Applied Analysis  
The approach is simple and easy to implement and provides reference for chaos control and synchronization in relevant systems.  ...  Based on the sliding mode control method, the controller is designed to eliminate the chaotic behavior of Josephson junctions and realize the achievement of global asymptotic synchronization of coupled  ...  His team also unified the concept of synchronization and anti-synchronization together for a novel class of chaotic systems with different structure and dimensions, although it is suitable for only integer  ... 
doi:10.1155/2012/378457 fatcat:sninxdcj5vg2jfdonq5cykvhzq

Coexistence of synchronization and anti-synchronization in chaotic systems

Ling Ren, Rongwei Guo, Uchechukwu E. Vincent
2016 Archives of Control Sciences  
The coexistence of anti-synchronization and synchronization in chaotic systems is investigated.  ...  A novel algorithm is proposed to determine the variables of the master system that should anti-synchronize with corresponding variables of the slave system.  ...  In [14, 15, 16 ] and a few other works, it has been pointed out that synchronization and anti-synchronization could coexist in chaotic systems.  ... 
doi:10.1515/acsc-2016-0004 fatcat:nnjxu5sllnbd5mqgk4ouufwrta

Robust Stabilization and Synchronization of a Novel Chaotic System with Input Saturation Constraints

Ahmad Taher Azar, Fernando E Serrano, Quanmin Zhu, Maamar Bettayeb, Giuseppe Fusco, Jing Na, Weicun Zhang, Nashwa Ahmad Kamal
2021 Entropy  
In this paper, the robust stabilization and synchronization of a novel chaotic system are presented.  ...  For synchronization purposes, the novel chaotic system designed in this study is used as a drive and response system, considering that the error variable is implemented in a robust control Lyapunov function  ...  Also, the authors wish to acknowledge the editor and anonymous reviewers for their insightful comments, which have improved the quality of this publication.  ... 
doi:10.3390/e23091110 pmid:34573735 pmcid:PMC8470018 fatcat:mx4qe6gb2rbutmbwgt3b6yapd4

A Novel 4-D Hyperchaotic Chemical Reactor System and Its Adaptive Control [chapter]

Sundarapandian Vaidyanathan, Abdesselem Boulkroune
2016 Studies in Computational Intelligence  
MATLAB plots have been shown to illustrate the phase portraits of the novel chemical chaotic attractor and the global chaos control of the novel chemical chaotic reactor system via adaptive control method  ...  Next, new results are obtained for the adaptive control of the novel chemical chaotic reactor system.  ...  ., and Pham, V.T., Analysis, adaptive control and anti-synchronization of a six-term novel jerk chaotic system with two exponential nonlinearities and its circuit simulation, Journal of Engineering Science  ... 
doi:10.1007/978-3-319-30279-9_19 fatcat:smuokmytcfe3jamsuuebeg37wm

Anti-Synchronization of Fractional-Order Chaotic Circuit with Memristor via Periodic Intermittent Control

Fanqi Meng, Xiaoqin Zeng, Zuolei Wang, Xinjun Wang
2020 Advances in Mathematical Physics  
Based on the principle of periodic intermittent control and the Lyapunov stability theory, a novel criterion is adopted to realize the anti-synchronization of FCCM.  ...  In this paper, the anti-synchronization of fractional-order chaotic circuit with memristor (FCCM) is investigated via a periodic intermittent control scheme.  ...  It follows from eorem 1 that the system (14) is anti-synchronized with system (13) under the periodic intermittent control.  ... 
doi:10.1155/2020/5158489 fatcat:hkxpmw74r5bozhqvxwllu6ngvy

Quaternion nonlinear Lü model and its novel quaternion complete synchronization

Maryam Ahmed Alyami, Emad E. Mahmoud
2020 Alexandria Engineering Journal  
Mahmoud, Quaternion nonlinear Lü model and its novel quaternion complete synchronization, Alexandria Eng.  ...  Also, we present a novel king of quaternion synchronization. We call this new sort of synchronization "quaternion complete synchronization" (QCS).  ...  The authors, therefore, acknowledge with thanks the University technical and financial support.  ... 
doi:10.1016/j.aej.2020.04.013 fatcat:z4z7u3y33bbcplgkbv3o2fxesa
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