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An Effective Synchronization Approach to Stability Analysis for Chaotic Generalized Lotka–Volterra Biological Models Using Active and Parameter Identification Methods
by
Chaudhary, Harindri
, Khan, Ayub
, Sajid, Mohammad
, Nigar, Uzma
, Kaushik, Santosh
in
Active control
/ active control method
/ Biological models (mathematics)
/ Chaos theory
/ chaotic system
/ Communication
/ Control theory
/ Controllers
/ Design
/ generalized Lotka–Volterra model
/ Identification methods
/ Lyapunov stability theory
/ Mathematical models
/ Methods
/ Parameter identification
/ parameter identification method
/ projective synchronization
/ Stability analysis
/ Synchronism
2022
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An Effective Synchronization Approach to Stability Analysis for Chaotic Generalized Lotka–Volterra Biological Models Using Active and Parameter Identification Methods
by
Chaudhary, Harindri
, Khan, Ayub
, Sajid, Mohammad
, Nigar, Uzma
, Kaushik, Santosh
in
Active control
/ active control method
/ Biological models (mathematics)
/ Chaos theory
/ chaotic system
/ Communication
/ Control theory
/ Controllers
/ Design
/ generalized Lotka–Volterra model
/ Identification methods
/ Lyapunov stability theory
/ Mathematical models
/ Methods
/ Parameter identification
/ parameter identification method
/ projective synchronization
/ Stability analysis
/ Synchronism
2022
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An Effective Synchronization Approach to Stability Analysis for Chaotic Generalized Lotka–Volterra Biological Models Using Active and Parameter Identification Methods
by
Chaudhary, Harindri
, Khan, Ayub
, Sajid, Mohammad
, Nigar, Uzma
, Kaushik, Santosh
in
Active control
/ active control method
/ Biological models (mathematics)
/ Chaos theory
/ chaotic system
/ Communication
/ Control theory
/ Controllers
/ Design
/ generalized Lotka–Volterra model
/ Identification methods
/ Lyapunov stability theory
/ Mathematical models
/ Methods
/ Parameter identification
/ parameter identification method
/ projective synchronization
/ Stability analysis
/ Synchronism
2022
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An Effective Synchronization Approach to Stability Analysis for Chaotic Generalized Lotka–Volterra Biological Models Using Active and Parameter Identification Methods
Journal Article
An Effective Synchronization Approach to Stability Analysis for Chaotic Generalized Lotka–Volterra Biological Models Using Active and Parameter Identification Methods
2022
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Overview
In this manuscript, we systematically investigate projective difference synchronization between identical generalized Lotka–Volterra biological models of integer order using active control and parameter identification methods. We employ Lyapunov stability theory (LST) to construct the desired controllers, which ensures the global asymptotical convergence of a trajectory following synchronization errors. In addition, simulations were conducted in a MATLAB environment to illustrate the accuracy and efficiency of the proposed techniques. Exceptionally, both experimental and theoretical results are in excellent agreement. Comparative analysis between the considered strategy and previously published research findings is presented. Lastly, we describe an application of our considered combination difference synchronization in secure communication through numerical simulations.
Publisher
MDPI AG,MDPI
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