scholarly journals Dynamics and Robust Control of a New Realizable Chaotic Nonlinear Model

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
M. Higazy ◽  
Emad E. Mahmoud ◽  
E. M. Khalil ◽  
S. Abdel-Khalek ◽  
S. M. Abo-Dahab ◽  
...  
Keyword(s):  
Genetic Algorithm ◽  
Graph Theory ◽  
Robust Control ◽  
Electronic Circuit ◽  
Signal Flow Graph ◽  
New Paradigm ◽  
Robust Controller ◽  
Flow Graph ◽  
System States ◽  
New System

We present a new viable nonlinear chaotic paradigm. This paradigm has four nonlinear terms. The essential features of the new paradigm have been investigated. Our new system is confirmed to have chaotic behaviors by calculating its Lyapunov exponents. The relations of the system states are displayed by a suggested new signal flow graph (SFG). The proposed SFG is discussed via some graph theory tools, and some of its hidden features are calculated. In addition, the system is realized via constructing its electronic circuit which helps in the real applications. Also, a robust controller for the system is designed with the aid of a genetic algorithm.

Optimal control, signal flow graph, and system electronic circuit realization for nonlinear Anopheles mosquito model

2020 ◽  
Vol 31 (09) ◽  
pp. 2050130 ◽  
Author(s):  
K. A. Gepreel ◽  
M. Higazy ◽  
A. M. S. Mahdy
Keyword(s):  
Optimal Control ◽  
Mathematical Programming ◽  
Nonlinear Control ◽  
Electronic Circuit ◽  
Anopheles Mosquito ◽  
Signal Flow Graph ◽  
Circuit Realization ◽  
Flow Graph ◽  
Control Factors ◽  
Normal Measure

We study the estimated investigative answers for one of the popular models in biomathematics, in particular, the nonlinear Anopheles mosquito model numerically. The optimal control (OC) for nonlinear Anopheles mosquito model is examined. Important and adequate conditions to ensure the presence and singularity of the arrangements of the control issue are assumed. Two control factors are suggested to limit the normal measure of eggs laid per treated female every day. The signal stream chart and Simulink[Formula: see text]Matlab of this model are constructed. The framework is designed utilizing the MULTISIM simulation program. We utilize the homotopy disruption strategy (HPM) to examine the logical surmised answer for the nonlinear control issue. We utilize the mathematical programming bundles, for example, Maple, to emphasize while ascertaining the rough arrangement. Results are displayed graphically and introduced to delineate the conduct of obtained inexact arrangements.

Relating Real-Time Backpropagation and Backpropagation-Through-Time: An Application of Flow Graph Interreciprocity

1994 ◽  
Vol 6 (2) ◽  
pp. 296-306 ◽  
Author(s):  
Françoise Beaufays ◽  
Eric A. Wan
Keyword(s):  
Neural Networks ◽  
Graph Theory ◽  
Real Time ◽  
Time Algorithm ◽  
Theoretical Argument ◽  
Signal Flow Graph ◽  
Flow Graph ◽  
Dynamic Neural Networks ◽  
Backpropagation Through Time ◽  
Flow Graphs

We show that signal flow graph theory provides a simple way to relate two popular algorithms used for adapting dynamic neural networks, real-time backpropagation and backpropagation-through-time. Starting with the flow graph for real-time backpropagation, we use a simple transposition to produce a second graph. The new graph is shown to be interreciprocal with the original and to correspond to the backpropagation-through-time algorithm. Interreciprocity provides a theoretical argument to verify that both flow graphs implement the same overall weight update.

scholarly journals Application of triple compound combination anti-synchronization among parallel fractional snap systems & electronic circuit implementation

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Emad E. Mahmoud ◽  
Pushali Trikha ◽  
Lone Seth Jahanzaib ◽  
M. Higazy ◽  
Monagi H. Alkinani
Keyword(s):  
Existence And Uniqueness ◽  
Electronic Circuit ◽  
Signal Flow Graph ◽  
External Disturbances ◽  
Flow Graph ◽  
Point Analysis ◽  
Uniqueness Of The Solution ◽  
Dynamical Properties ◽  
Electronic Circuit Implementation ◽  
Secure Transmission

AbstractIn this article we examine the dynamical properties of the fractional version of the snap system by means of chaotic attractor, existence, and uniqueness of the solution, symmetry, dissipativity, stagnation point analysis, Lyapunov dynamics, K.Y. dimension, bifurcation diagram, etc. Also, parallel systems to this system are synchronized in presence of uncertainties and external disturbances using triple compound combination anti-synchronization by two ways. Synchronization time is compared with some other works. Also the utilization of achieved synchronization is illustrated in secure transmission. By constructing the snap system’s signal flow graph and its real electronic circuit, some of its additional invariants are investigated.

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