scholarly journals New type of chaos synchronization in discrete-time systems: the F-M synchronization

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 174-182 ◽  
Author(s):  
Adel Ouannas ◽  
Giuseppe Grassi ◽  
Abdulrahman Karouma ◽  
Toufik Ziar ◽  
Xiong Wang ◽  
...  
Keyword(s):  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
The Novel ◽  
Synchronization Index ◽  
Nonlinear Controllers ◽  
The Matrix ◽  
New Type ◽  
Different Dimensions ◽  
Inverse Generalized Synchronization ◽  
Time Systems

AbstractIn this paper, a new type of synchronization for chaotic (hyperchaotic) maps with different dimensions is proposed. The novel scheme is called F – M synchronization, since it combines the inverse generalized synchronization (based on a functional relationship F) with the matrix projective synchronization (based on a matrix M). In particular, the proposed approach enables F – M synchronization with index d to be achieved between n-dimensional drive system map and m-dimensional response system map, where the synchronization index d corresponds to the dimension of the synchronization error. The technique, which exploits nonlinear controllers and Lyapunov stability theory, proves to be effective in achieving the F – M synchronization not only when the synchronization index d equals n or m, but even if the synchronization index d is larger than the map dimensions n and m. Finally, simulation results are reported, with the aim to illustrate the capabilities of the novel scheme proposed herein.

A New Generalized-Type of Synchronization for Discrete-Time Chaotic Dynamical Systems

2015 ◽  
Vol 10 (6) ◽  
Author(s):  
Adel Ouannas
Keyword(s):  
Discrete Time ◽  
Chaos Synchronization ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Effective Control ◽  
Nonlinear Controllers ◽  
Control Schemes ◽  
New Type ◽  
Different Dimensions ◽  
Generalized Type

In this paper, a new type of chaos synchronization in discrete-time is proposed by combining matrix projective synchronization (MPS) and generalized synchronization (GS). This new chaos synchronization type allows us to study synchronization between different dimensional discrete-time chaotic systems in different dimensions. Based on nonlinear controllers and Lyapunov stability theory, effective control schemes are introduced and new synchronization criterions are derived. Numerical simulations are used to validate the theoretical results and to verify the effectiveness of the proposed schemes.

scholarly journals Secure Multiple-Input Multiple-Output Communications Based on F–M Synchronization of Fractional-Order Chaotic Systems with Non-Identical Dimensions and Orders

2018 ◽  
Vol 8 (10) ◽  
pp. 1746 ◽  
Author(s):  
Adel Ouannas ◽  
Nadjette Debbouche ◽  
Xiong Wang ◽  
Viet-Thanh Pham ◽  
Okba Zehrour
Keyword(s):  
Fractional Order ◽  
Secure Communication ◽  
Multiple Input Multiple Output ◽  
Projective Synchronization ◽  
Fractional Systems ◽  
Multiple Input ◽  
The Matrix ◽  
Input Multiple Output ◽  
Different Dimensions ◽  
Inverse Generalized Synchronization

This paper investigates the F – M synchronization between non-identical fractional-order systems characterized by different dimensions and different orders. F – M synchronization combines the inverse generalized synchronization with the matrix projective synchronization. In particular, the proposed approach enables the F – M synchronization to be achieved between an n-dimensional master system and an m-dimensional slave system. The developed approach is applied to chaotic and hyperchaotic fractional systems with the aim of illustrating its applicability and suitability. A multiple-input multiple-output (MIMO) secure communication system is also developed by using the F – M synchronization and verified through computer simulations.

scholarly journals Coexistence of generalized synchronization and inverse generalized synchronization between chaotic and hyperchaotic systems

2018 ◽  
Vol 23 (4) ◽  
pp. 583-598 ◽  
Author(s):  
Ahlem Gasri ◽  
Adel Ouannas ◽  
Kayode S. Ojo ◽  
Viet-Thanh Pham
Keyword(s):  
Stability Theory ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Hyperchaotic System ◽  
Generalized Synchronization ◽  
Continuous Time Systems ◽  
New Type ◽  
Inverse Generalized Synchronization ◽  
Time Systems ◽  
Hyperchaotic Systems

In this paper, we present new schemes to synchronize different dimensional chaotic and hyperchaotic systems. Based on coexistence of generalized synchronization (GS) and inverse generalized synchronization (IGS), a new type of hybrid chaos synchronization is constructed. Using Lyapunov stability theory and stability theory of linear continuous-time systems, some sufficient conditions are derived to prove the coexistence of generalized synchronization and inverse generalized synchronization between 3D master chaotic system and 4D slave hyperchaotic system. Finally, two numerical examples are illustrated with the aim to show the effectiveness of the approaches developed herein.

scholarly journals A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions

2014 ◽  
Vol 2014 ◽  
pp. 1-16 ◽  
Author(s):  
Jian Liu ◽  
Shutang Liu ◽  
Fangfang Zhang
Keyword(s):  
Complex System ◽  
Dynamic Properties ◽  
Fractal Dimensions ◽  
Transformation Matrix ◽  
Projective Synchronization ◽  
The Novel ◽  
Complex Transformation ◽  
New Type ◽  
Response Systems ◽  
Complex Chaotic Systems

We introduce a new Dadras system with complex variables which can exhibit both four-wing hyperchaotic and chaotic attractors. Some dynamic properties of the system have been described including Lyapunov exponents, fractal dimensions, and Poincaré maps. More importantly, we focus on a new type of synchronization method of modified hybrid project synchronization with complex transformation matrix (CMHPS) for different dimensional hyperchaotic and chaotic complex systems with complex parameters, where the drive and response systems can be asymptotically synchronized up to a desired complex transformation matrix, not a diagonal matrix. Furthermore, CMHPS between the novel hyperchaotic Dadras complex system and other two different dimensional complex chaotic systems is provided as an example to discuss increased order synchronization and reduced order synchronization, respectively. Numerical results verify the feasibility and effectiveness of the presented schemes.

A General Method to Study the Co-Existence of Different Hybrid Synchronizations in Fractional-Order Chaotic Systems

2019 ◽  
Vol 20 (3-4) ◽  
pp. 351-359
Author(s):  
Adel Ouannas ◽  
Samir Bendoukha ◽  
Abdulrahman Karouma ◽  
Salem Abdelmalek
Keyword(s):  
Fractional Order ◽  
Stability Theory ◽  
Projective Synchronization ◽  
The Novel ◽  
Fractional Order Systems ◽  
Function Projective Synchronization ◽  
Novel Approach ◽  
Full State ◽  
Hybrid Function ◽  
New Type

AbstractReferring to incommensurate fractional-order systems, this paper proposes a new type of chaos synchronization by combining full state hybrid function projective synchronization (FSHFPS) and inverse full state hybrid function projective synchronization (IFSHFPS). In particular, based on stability theory of linear integer-order systems and stability theory of linear fractional-order systems, the co-existence of FSHFPS and IFSHFPS between incommensurate fractional chaotic (hyperchaotic) systems is proved. To illustrate the capabilities of the novel approach proposed herein, numerical and simulation results are given.

scholarly journals Augmented Reality and Life in the Cyberspace in William Gibson’s Neuromancer

2021 ◽  
Vol 12 (4) ◽  
pp. 30
Author(s):  
Md. Shafiqul Islam
Keyword(s):  
Science Fiction ◽  
Literary Work ◽  
The Novel ◽  
Human Capabilities ◽  
Story Line ◽  
The Past ◽  
The Matrix ◽  
Fiction Writers ◽  
Different Dimensions ◽  
The Relationship

This paper attempts a cybercritical reading of William Gibson’s novel Neuromancer (1984) to explore the genesis of cyborgs in the novel, address issues pertaining to cyberpunks and scrutinize the portrayal of a cyberculture set in the futuristic dystopian city of Chiba. The relationship between humans and machines has gone through multiple phases of changes in the recent past. That is why instead of satirizing machinized-humans, science fiction writers have embraced different dimensions of man-machine relationships during the past few decades. ‘Cyborg’ is no longer represented as the ‘mutation of human capabilities’, but as ‘machines with Artificial Intelligence’. Gibson’s Neuromancer, a landmark piece of literary work in the sphere of Sci-Fi literature, specifically predicts a new height of man-machine relationship by employing both human and cyborg characters at the center of his story line. This paper shows how Gibson accurately prophesizes the matrix of machine-human relationship in his novel. It also explores Gibson’s depiction of female characters through the lens of cyberfeminist theories. In view of that, this paper uses contemporary critical and cultural theories including Donna Haraway’s idea of cyberfeminism, Baudrillard’s simulation and simulacra, Foucauldian discourse analysis, Jeremy Bentham’s concept of tabula rasa and other relevant theoretical ideas to examine and evaluate the transformative changes.

scholarly journals Projective synchronization for 4D hyperchaotic system based on adaptive nonlinear control strategy

2020 ◽  
Vol 19 (2) ◽  
pp. 715 ◽  
Author(s):  
Zaidoon Sh. Al-Talib ◽  
Saad Fawzi AL-Azzawi
Keyword(s):  
Nonlinear Control ◽  
Control Strategy ◽  
Chaotic Oscillation ◽  
Positive Definite Matrix ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Hyperchaotic System ◽  
Nonlinear Controller ◽  
Unknown Parameters ◽  
Nonlinear Controllers

<span>The main purpose of the paper is to projective synchronous chaotic oscillation in the real four-dimensional hyperchaotic model via designing many adaptive nonlinear controllers. Firstly, in view that there are many strategies in the design process of existing controllers, a nonlinear control strategy is considered as one of the important powerful tools for controlling the dynamical systems. The prominent advantage of the nonlinear controller lies in that it deals with known and unknown parameters. Then, the projective synchronize behavior of a four-dimensional hyperchaotic system is analyzed by using the Lyapunov stability theory and positive definite matrix, and the nonlinear control strategy is adopted to synchronize the hyperchaotic system. Finally, the effectiveness and robustness of the designed adaptive nonlinear controller are verified by simulation.</span>

scholarly journals On Matrix Projective Synchronization and Inverse Matrix Projective Synchronization for Different and Identical Dimensional Discrete-Time Chaotic Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Adel Ouannas ◽  
Raghib Abu-Saris
Keyword(s):  
Dynamical Systems ◽  
Discrete Time ◽  
Stability Theory ◽  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Inverse Matrix ◽  
Projective Synchronization ◽  
Linear Dynamical Systems ◽  
New Type

The problem of matrix projective synchronization (MPS) in discrete-time chaotic systems is investigated, and a new type of discrete chaos synchronization called inverse matrix projective synchronization (IMPS) is introduced. Sufficient conditions are derived for achieving MPS and IMPS between chaotic dynamical systems in discrete-time of different and identical dimensions. Based on new control schemes, Lyapunov stability theory, and stability theory of linear dynamical systems in discrete-time, some synchronization criteria are obtained. Numerical examples and simulations are used to illustrate the use of the proposed schemes.

Modified function projective synchronization between two different complex networks with delayed couplings and delayed nodes of different dimensions

2016 ◽  
Vol 27 (11) ◽  
pp. 1650126 ◽  
Author(s):  
Min Han ◽  
Yamei Zhang ◽  
Meng Zhang
Keyword(s):  
Hybrid Control ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Linear Matrix ◽  
Function Projective Synchronization ◽  
Special Cases ◽  
Modified Function Projective Synchronization ◽  
Different Dimensions ◽  
Nodes Of Different Dimensions

In this paper, to deal with the problem of modified function projective synchronization (MFPS) between two different networks with delayed couplings and delayed nodes of different dimensions, a hybrid control scheme combining adaptive control and nonlinear control is proposed. First, a more realistic drive-response complex network model is constructed by introducing double delays. Then, we design hybrid feedback controllers to synchronize up the drive and response networks of different dimensions to a scaling function matrix. Based on Lyapunov stability theory and the linear matrix inequality (LMI), we rigorously prove that the MFPS between the proposed drive-response networks can be achieved and meanwhile some sufficient conditions are derived by adopting an appropriate Lyapunov–Krasovskii energy function. Noteably, many existing synchronization settings can be regarded as special cases of the present synchronization framework. Numerical simulation experiments are employed to verify the correctness and the effectiveness of the proposed method.

Analytical Study of Violence Theme in Victoria Schwab’s This Savage Song

2019 ◽  
Keyword(s):  
Analytical Study ◽  
Research Paper ◽  
The Novel ◽  
Vicious Cycle ◽  
Aggressive Approach ◽  
Research Article ◽  
The People ◽  
The Social ◽  
Different Dimensions ◽  
The Right

This research article focuses on the theme of violence and its representation by the characters of the novel “This Savage Song” by Victoria Schwab. How violence is transmitted through genes to next generations and to what extent socio- psycho factors are involved in it, has also been discussed. Similarly, in what manner violent events and deeds by the parents affect the psychology of children and how it inculcates aggressive behaviour in their minds has been studied. What role is played by the parents in grooming the personality of children and ultimately their decisions to choose the right or wrong way has been argued. In the light of the theory of Judith Harris, this research paper highlights all the phenomena involved: How the social hierarchy controls the behaviour. In addition, the aggressive approach of the people in their lives has been analyzed in the light of the study of second theorist Thomas W Blume. As the novel is a unique representation of supernatural characters, the monsters, which are the products of some cruel deeds, this research paper brings out different dimensions of human sufferings with respect to these supernatural beings. Moreover, the researcher also discusses that, in what manner the curse of violence creates an inevitable vicious cycle of cruel monsters that makes the life of the characters turbulent and miserable.

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