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Chaotic Synchronization of Modified Discrete-Time Tinkerbell Systems

Ke Ding, Xing Xu
2016 Discrete Dynamics in Nature and Society  
This paper studies chaotic synchronization of modified discrete-time Tinkerbell systems.  ...  By constructing the Lyapunov function and using the linear feedback control, some synchronization criteria for modified discrete-time Tinkerbell systems are derived.  ...  Therefore, the chaotic synchronization of two discrete-time Tinkerbell systems was studied in [2, 4] .  ... 
doi:10.1155/2016/5218080 fatcat:e6h2moxm5vce5hka45u4ejyucq

Synchronization of Time Delayed Fractional Order Chaotic Financial System

Weiwei Zhang, Jinde Cao, Ahmed Alsaedi, Fuad Eid S. Alsaadi
2017 Discrete Dynamics in Nature and Society  
The research on a time delayed fractional order financial chaotic system is a hot issue. In this paper, synchronization of time delayed fractional order financial chaotic system is studied.  ...  Based on comparison principle of linear fractional equation with delay, by using a fractional order inequality, a sufficient condition is obtained to guarantee the synchronization of master-slave systems  ...  Science Foundation of the Higher Education Institutions of Anhui Province (Grant no.  ... 
doi:10.1155/2017/1230396 fatcat:4uoznizkovfhdpo7fyzvimakka

Hybrid Projective Synchronization of Fractional-Order Chaotic Systems with Time Delay

Li-xin Yang, Jun Jiang
2013 Discrete Dynamics in Nature and Society  
The hybrid projective synchronization for fractional-order chaotic systems with time delay is investigated in this paper.  ...  The hybrid projective synchronization of fractional-order chaotic and hyperchaotic systems with time delay is achieved via designing an appropriate controller.  ...  This work is supported by the National Natural Science Foundation of China (NSFC) under the Grant no. 11172223.  ... 
doi:10.1155/2013/459801 fatcat:xgabmqukrfepljtjtw7d6ua264

Synchronization and Inverse Synchronization of Some Different Dimensional Discrete-time Chaotic Dynamical Systems via Scaling Matrices

Adel Ouannas
2014 International Journal of Chaos Control Modelling and Simulation  
In this paper, new types of synchronization and inverse synchro-nization are proposed for some di¤erent dimensional chaotic dynamical systems in discrete-time using scaling matrices.  ...  Based on Lyapunov stability theory and nonlinear controllers, new synchronization results are derived. Numerical simulations are used to verify the e¤ectiveness of the proposed schemes.  ...  1.Introduction Dynamical systems in discrete-time play an important role in chaos theory and mathematical modelisation of many scienti.c problems [1, 2, 3, 4] .  ... 
doi:10.5121/ijccms.2014.3401 fatcat:wiyookh4a5hxrp3zetvvcr7bmi

Projective Synchronization of Chaotic Discrete Dynamical Systems via Linear State Error Feedback Control

Baogui Xin, Zhiheng Wu
2015 Entropy  
A projective synchronization scheme for a kind of n-dimensional discrete dynamical system is proposed by means of a linear feedback control technique.  ...  A kind of novel 3-D chaotic discrete system is constructed, to which the test for chaos is applied.  ...  This work was supported in part by National Social Science Foundation of China ( Author Contributions Both authors jointly worked on deriving the results and wrote the paper.  ... 
doi:10.3390/e17052677 fatcat:uqxb6fnmzbcdfhupqkooswssaq

On Full-State Hybrid Projective Synchronization of General Discrete Chaotic Systems

Adel Ouannas
2014 Journal of Nonlinear Dynamics  
The problems of full-state hybrid projective synchronization (FSHPS) and inverse full-state hybrid projective synchronization (IFSHPS) for general discrete chaotic systems are investigated in 2D.  ...  Based on nonlinear control method and Lyapunov stability theory, new controllers are designed to study FSHPS and IFSHPS, respectively, for 2D arbitrary chaotic systems in discrete-time.  ...  Conflict of Interests The authors declare that there is no conflict of interests regarding the publication of this paper.  ... 
doi:10.1155/2014/983293 fatcat:et3pvlpt7na57ddfv37fi7vpma

Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient

Shao-juan Ma, Duan Dong, Jie Zheng
2013 Discrete Dynamics in Nature and Society  
This paper addresses the generalized synchronization of stochastic discrete chaotic systems with Poisson distribution coefficient.  ...  Firstly, based on the orthogonal polynomial approximation theory of discrete random function in Hilbert spaces, the discrete chaotic system with random parameter is transformed into its equivalent deterministic  ...  NZ12210), and the innovative funded project for the postgraduate students of Beifang University of Nationalities.  ... 
doi:10.1155/2013/981503 fatcat:gmv36mjrszc6tnlni2bvpd3twe

Chaos Synchronization in Discrete-Time Dynamical Systems with Application in Population Dynamics

Tahmineh Azizi, Gabriel Kerr
2020 Journal of Applied Mathematics and Physics  
In this paper, we develop a new mathematical framework in study of chaotic synchronization of discrete-time dynamical systems.  ...  In the novel drive-response discrete-time dynamical system which has been coupled using convex link function, we introduce a synchronization threshold which passes that makes the drive-response system  ...  Conflicts of Interest The authors declare no conflicts of interest regarding the publication of this paper.  ... 
doi:10.4236/jamp.2020.83031 fatcat:q7r5l3ffrfgo7nr6gan3x2br5m

Robust Active MPC Synchronization for Two Discrete-Time Chaotic Systems with Bounded Disturbance

Longge Zhang
2017 Discrete Dynamics in Nature and Society  
This paper proposes a synchronization scheme for two discrete-time chaotic systems with bounded disturbance.  ...  Two example simulations are performed to show the effectiveness of the designed control method.  ...  by discrete-time chaotic dynamical models [11] .  ... 
doi:10.1155/2017/7382150 fatcat:wubo7hbucfaavha4tz7bjnbide

Synchronization of Cubic Chaotic System

Yong Li, Zhen Jia
2010 Modern Applied Science  
The paper also utilizes control principle of lag synchronization to realize the lag synchronization of cubic chaotic system and Logistic map.  ...  This paper utilizes an adaptive synchronization control principle based on OGY idea to realize the synchronous of two cubic chaotic systems which have different initial value and parameter.  ...  Synchronization of cubic chaotic system and Logistic map of different structure Control principles of lag synchronization Regarding the system (10) that is composed of two discrete chaotic dynamical  ... 
doi:10.5539/mas.v4n9p135 fatcat:lc2xktlo5vaz7jk2qatufzxs3q

Noise-induced Phenomena in Two Strongly Pulse-coupled Spiking Neurons

Kazuki Nakada, Keiji Miura, Hatsuo Hayashi
2012 Procedia IUTAM  
We numerically investigated mixture bifurcation structure of the system, leading to complex behaviors, such as burst synchronization and chaotic phenomena.  ...  timing of inputs.  ...  In order to consider the nonlinear effects of the noise on the chaotic dynamical system, we investigated the stochastic dynamics of the system on the discrete return map in view of discontinuity-induced  ... 
doi:10.1016/j.piutam.2012.06.037 fatcat:3v27hf3wxjdvnazixc7h4st2am

Time-Delay Synchronization and Anti-Synchronization of Variable-Order Fractional Discrete-Time Chen–Rossler Chaotic Systems Using Variable-Order Fractional Discrete-Time PID Control

Joel Perez Padron, Jose Paz Perez, José Javier Pérez Díaz, Atilano Martinez Huerta
2021 Mathematics  
In this research paper, we solve the problem of synchronization and anti-synchronization of chaotic systems described by discrete and time-delayed variable fractional-order differential equations.  ...  of a variable fractional order with discrete time delay.  ...  and the Dynamical Systems Group (FCFM).  ... 
doi:10.3390/math9172149 fatcat:hbrwsbjf6bgihkowe5bxyi6g4i

Nonlinear control method of chaos synchronization for arbitrary 2D quadratic dynamical systems in discrete-time

Adel Ouannas
2014 International Journal of Mathematical Analysis  
In this paper, an arbitrary full state hybrid projective synchronization (AFSHPS) for general discrete quadratic chaotic systems is investigated.  ...  Based on Lyapunov stability theory and nonlinear control method, a new controller is designed for achieving the AFSHPS for 2D quadratic chaotic systems in discrete-time.  ...  In this paper, an AFSHPS scheme is proposed, for 2D quadratic chaotic systems in discrete-time, using new synchronization method.  ... 
doi:10.12988/ijma.2014.49280 fatcat:3ajrevduerevznu2yoaszkdfii

On the Q–S Chaos Synchronization of Fractional-Order Discrete-Time Systems: General Method and Examples

Adel Ouannas, Amina-Aicha Khennaoui, Giuseppe Grassi, Samir Bendoukha
2018 Discrete Dynamics in Nature and Society  
In this paper, we propose two control strategies for the Q–S synchronization of fractional-order discrete-time chaotic systems.  ...  Assuming that the dimension of the response system m is higher than that of the drive system n, the first control scheme achieves n-dimensional synchronization whereas the second deals with the m-dimensional  ...  In addition to the original continuoustime chaotic systems such as Lorenz and Chen systems, discrete-time chaotic systems or maps have been proposed and studied.  ... 
doi:10.1155/2018/2950357 fatcat:zjf2hbllofc6vdpegkma7hzalm

Discrete Chaotic Dynamics for Economics and Social Science

Christos K. Volos, Sundarapandian Vaidyanathan, Viet-Thanh Pham, Esteban Tlelo-Cuautle
2016 Discrete Dynamics in Nature and Society  
Acknowledgments We would like to express appreciation to the authors for their excellent contributions and patience in assisting us.  ...  The hard work of all reviewers on these papers is also very greatly acknowledged. Christos K. Volos Sundarapandian Vaidyanathan Viet-Thanh Pham Esteban Tlelo-Cuautle  ...  "Chaotic Synchronization of Modified Discrete-Time Tinkerbell Systems" by K. Ding and X. Xu studies the chaotic synchronization of chaotic modified discrete-time Tinkerbell systems.  ... 
doi:10.1155/2016/3105084 fatcat:ybz7wssksnb2hkfhyopbmjoqmq
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