scholarly journals CHAOS SYNCHRONIZATION IN THE MULTIFEEDBACK MACKEY–GLASS MODEL

2005 ◽  
Vol 19 (23) ◽  
pp. 3613-3618 ◽  
Author(s):  
E. M. SHAHVERDIEV ◽  
R. A. NURIEV ◽  
L. H. HASHIMOVA ◽  
E. M. HUSEYNOVA ◽  
R. H. HASHIMOV
Keyword(s):  
Nonlinear Systems ◽  
Numerical Simulations ◽  
Chaos Synchronization ◽  
Stability Conditions ◽  
Complete Synchronization ◽  
Glass Model ◽  
Existence And Stability

We investigate synchronization between two unidirectionally linearly coupled chaotic multifeedback Mackey–Glass systems and find the existence and stability conditions for complete synchronization. Numerical simulations fully support the theory. We also present generalization of the approach to the wider class of nonlinear systems.

PARAMETER MISMATCHES AND INVERSE SYNCHRONIZATION IN THE IKEDA MODEL

2004 ◽  
Vol 18 (13) ◽  
pp. 1911-1918 ◽  
Author(s):  
E. M. SHAHVERDIEV ◽  
R. A. NURIEV ◽  
R. H. HASHIMOV
Keyword(s):  
Numerical Simulations ◽  
Delay Time ◽  
Analytical Approach ◽  
Coupled Systems ◽  
Stability Conditions ◽  
Crucial Importance ◽  
Parameter Mismatch ◽  
Coupling Delay ◽  
Existence And Stability ◽  
Coupling Delay Time

We investigate inverse retarded synchronization between two uni-directionally linearly coupled chaotic non-identical Ikeda models and show that parameter mismatches are of crucial importance to achieve synchronization. We establish that independent of the relation between the delay time in the coupled systems and the coupling delay time, only inverse retarded synchronization with the coupling delay time is obtained. We derive existence and stability conditions for the inverse retarded synchronization manifold. We show that with parameter mismatch or without it neither inverse complete nor inverse anticipating synchronization occurs. Numerical simulations fully support the analytical approach.

scholarly journals Modulated Feedback and Coupling Time Delays, and All-to-all Chaos Synchronisation in a Network of Networks: One of the Simplest Cases

2018 ◽  
pp. 1-13
Author(s):  
E. M. Shahverdiev ◽  
P. A. Bayramov ◽  
R. A. Nuriev ◽  
L. H. Hashimova ◽  
M. V. Qocayeva
Keyword(s):  
Information Processing ◽  
Numerical Simulations ◽  
Time Delays ◽  
Coupled Systems ◽  
Stability Conditions ◽  
Existence And Stability ◽  
Chaos Synchronisation ◽  
Coupling Time ◽  
High Level ◽  
Network Of Networks

The study reports on all- to- all chaos synchronisation in a network of networks based on the Ikeda model. The study considered one of the simplest cases. It found the existence and stability conditions for such a synchronisation regime. Numerical simulations validated the analytical findings. The results can be of certain importance in achieving high- level output for the coupled systems and information processing.  

CHAOS SYNCHRONIZATION IN MULTIPLE TIME DELAY ELECTROOPTICAL SEMICONDUCTOR LASERS

2007 ◽  
Vol 21 (31) ◽  
pp. 5207-5219 ◽  
Author(s):  
E. M. SHAHVERDIEV ◽  
K. A. SHORE
Keyword(s):  
Time Delay ◽  
Numerical Simulations ◽  
Semiconductor Lasers ◽  
Chaos Synchronization ◽  
Stability Conditions ◽  
Multiple Time ◽  
First Report ◽  
Analytical Results ◽  
Sufficient Stability ◽  
Sufficient Stability Conditions

We make the first report of the chaos synchronization regimes in the unidirectionally-coupled multiple time delay electrooptical semiconductor lasers. We derive the existence and sufficient stability conditions for the synchronization regimes. Analytical results are fully supported by numerical simulations.

Synchronization of Chaotic Quantum Dot Light Emitting Diodes under Optical Feedback Effect

2020 ◽  
pp. 144-148
Keyword(s):  
Quantum Dot ◽  
Delay Time ◽  
Chaos Synchronization ◽  
Optical Feedback ◽  
Light Emitting Diode ◽  
Feedback Effect ◽  
Complete Synchronization ◽  
Light Emitting ◽  
Coupling Methods ◽  
Coupling Parameters

Chaos synchronization of delayed quantum dot light emitting diode has been studied theortetically which are coupled via the unidirectional and bidirectional. at synchronization of chaotic, The dynamics is identical with delayed optical feedback for those coupling methods. Depending on the coupling parameters and delay time the system exhibits complete synchronization, . Under proper conditions, the receiver quantum dot light emitting diode can be satisfactorily synchronized with the transmitter quantum dot light emitting diode due to the optical feedback effect.

Optimal Synchronization of a Memristive Chaotic Circuit

2016 ◽  
Vol 26 (06) ◽  
pp. 1650093 ◽  
Author(s):  
Michaux Kountchou ◽  
Patrick Louodop ◽  
Samuel Bowong ◽  
Hilaire Fotsin ◽  
Jurgen Kurths
Keyword(s):  
Numerical Simulations ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Analog Circuit ◽  
Electronic Circuit ◽  
Dynamical Behavior ◽  
Circuit Implementation ◽  
Chaotic Circuit ◽  
Dynamical Properties ◽  
Analog Circuit Implementation

This paper deals with the problem of optimal synchronization of two identical memristive chaotic systems. We first study some basic dynamical properties and behaviors of a memristor oscillator with a simple topology. An electronic circuit (analog simulator) is proposed to investigate the dynamical behavior of the system. An optimal synchronization strategy based on the controllability functions method with a mixed cost functional is investigated. A finite horizon is explicitly computed such that the chaos synchronization is achieved at an established time. Numerical simulations are presented to verify the effectiveness of the proposed synchronization strategy. Pspice analog circuit implementation of the complete master-slave-controller systems is also presented to show the feasibility of the proposed scheme.

Assessing the impact of agrochemicals on schistosomiasis transmission: A mathematical study

2021 ◽  
pp. 2150049
Author(s):  
Liming Cai ◽  
Peixia Yue ◽  
Mini Ghosh ◽  
Xuezhi Li
Keyword(s):  
Mathematical Model ◽  
Sensitivity Analysis ◽  
Numerical Simulations ◽  
Disease Transmission ◽  
Agricultural Pollution ◽  
Parasitic Disease ◽  
Mathematical Study ◽  
Proposed Model ◽  
Existence And Stability ◽  
The Impact

Schistosomiasis is a snail-borne parasitic disease, which is affecting almost 240 million people worldwide. The number of humans affected by schistosomiasis is continuously increasing with the rise in the use of agrochemicals. In this paper, a mathematical model is formulated and analyzed to assess the effect of agrochemicals on the transmission of schistosomiasis. The proposed model incorporates the effects of fertilizers, herbicides and insecticides on susceptible snails and snail predators along with schistosomiasis disease transmission. The existence and stability of the equilibria in the model are discussed. Sensitivity analysis is performed to identify the key parameters of the proposed model, which contributes most in the transmission of this disease. Numerical simulations are also performed to assess the impact of fertilizers, herbicides and insecticides on schistosomiasis outbreaks. Our study reveals that the agricultural pollution can enhance the transmission intensity of schistosomiasis, and in order to prevent the outbreak of schistosomiasis, the use of pesticides should be controlled.

Sign in / Sign up

Export Citation Format

Share Document