Bursting mechanism in a memristive Lorenz basedsystem and function projective synchronization in itsfractional-order form: Digital implementation underATmega328P microcontroller.

2021 ◽  
Author(s):  
Herman Landry Ndassi ◽  
Marceline Motchongom Tingue ◽  
André Rodrigue Tchamda ◽  
Edwige Raissa Mache Kengne ◽  
Robert Tchitnga ◽  
...  
Keyword(s):  
Projective Synchronization ◽  
Digital Implementation ◽  
Function Projective Synchronization ◽  
Order Form ◽  
And Function

scholarly journals A New 4D Hyperchaotic System and Its Generalized Function Projective Synchronization

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Yuan Gao ◽  
Chenghua Liang
Keyword(s):  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Generalized Function ◽  
Hyperchaotic System ◽  
Function Projective Synchronization ◽  
And Function ◽  
Synchronization Scheme ◽  
Hyperchaotic Systems ◽  
Generalized Function Projective Synchronization ◽  
New System

A new four-dimensional hyperchaotic system is investigated. Numerical and analytical studies are carried out on its basic dynamical properties, such as equilibrium point, Lyapunov exponents, Poincaré maps, and chaotic dynamical behaviors. We verify the realizability of the new system via an electronic circuit by using Multisim software. Furthermore, a generalized function projective synchronization scheme of two different hyperchaotic systems with uncertain parameters is proposed, which includes some existing projective synchronization schemes, such as generalized projection synchronization and function projective synchronization. Based on the Lyapunov stability theory, a controller with parameters update laws is designed to realize synchronization. Using this controller, we realize the synchronization between Chen hyperchaotic system and the new system to verify the validity and feasibility of our method.

scholarly journals Multistability Analysis and Function Projective Synchronization in Relay Coupled Oscillators

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Ahmad Taher Azar ◽  
Ngo Mouelas Adele ◽  
Kammogne Soup Tewa Alain ◽  
Romanic Kengne ◽  
Fotsin Hilaire Bertrand
Keyword(s):  
Time Synchronization ◽  
Initial Conditions ◽  
Coupled Systems ◽  
Projective Synchronization ◽  
Multiple Attractors ◽  
Function Projective Synchronization ◽  
Wide Range ◽  
Coupling Path ◽  
Two Parameters ◽  
And Function

Regions of stability phases discovered in a general class of Genesio−Tesi chaotic oscillators are proposed. In a relatively large region of two-parameter space, the system has coexisting point attractors and limit cycles. The variation of two parameters is used to characterize the multistability by plotting the isospike diagrams for two nonsymmetric initial conditions. The parameters window in which the jerk system exhibits the unusual and striking feature of multiple attractors (e.g., coexistence of six disconnected periodic chaotic attractors and three-point attraction) is investigated. The second aspect of this study presents the synchronization of systems that act as mediators between two dynamical units that, in turn, show function projective synchronization (FPS) with each other. These are the so-called relay systems. In a wide range of operating parameters; this setup leads to synchronization between the outer circuits, while the relaying element remains unsynchronized. The results show that the coupled systems can achieve function projective synchronization in a determined time despite the unpredictability of the scaling function. In the coupling path, the outer dynamical systems show finite-time synchronization of their outputs, that is, displaying the same dynamics at exactly the same moment. Further, this effect is rather general and it has a wide range of applications where sustained oscillations should be retained for proper functioning of the systems.

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