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.  

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.

Numerical simulations of lowering boulder yield based on delay time and double-primer initiation

2021 ◽  
Vol 14 (8) ◽  
Author(s):  
Renshu Yang ◽  
Yong Zhao ◽  
Chenxi Ding ◽  
Jinjing Zuo ◽  
Yatian Liu ◽  
...  
Keyword(s):  
Numerical Simulations ◽  
Delay Time

Site-bond percolation in two-dimensional kagome lattices: Analytical approach and numerical simulations

2021 ◽  
Vol 104 (1) ◽  
Author(s):  
M. I. González-Flores ◽  
A. A. Torres ◽  
W. Lebrecht ◽  
A. J. Ramirez-Pastor
Keyword(s):  
Numerical Simulations ◽  
Analytical Approach ◽  
Bond Percolation ◽  
Two Dimensional

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.

Control of amplitude death by coupling range in a network of fractional-order oscillators

2020 ◽  
Vol 34 (31) ◽  
pp. 2050303
Author(s):  
Rui Xiao ◽  
Zhongkui Sun
Keyword(s):  
Theoretical Analysis ◽  
Numerical Simulations ◽  
Fractional Order ◽  
Coupling Strength ◽  
Low Frequency ◽  
System Size ◽  
Coupled Systems ◽  
Amplitude Death ◽  
Function Relationship ◽  
The Relationship

We investigate the oscillating dynamics in a ring of network of nonlocally delay-coupled fractional-order Stuart-Landau oscillators. It is concluded that with the increasing of coupling range, the structures of death islands go from richness to simplistic, nevertheless, the area of amplitude death (AD) state is expanded along coupling delay and coupling strength directions. The increased coupling range can prompt the coupled systems with low frequency to occur AD. When system size varies, the area of death islands changes periodically, and the linear function relationship between periodic length and coupling range can be deduced. Thus, one can modulate the oscillating dynamics by adjusting the relationship between coupling range and system size. Furthermore, the results of numerical simulations are consistent with theoretical analysis.

SPATIOTEMPORAL STRONGLY NONLOCAL SPHERICAL LIGHT BULLETS

2013 ◽  
Vol 22 (01) ◽  
pp. 1350006
Author(s):  
WEI-PING ZHONG
Keyword(s):  
Numerical Simulations ◽  
Legendre Polynomials ◽  
Schrodinger Equation ◽  
Laguerre Polynomials ◽  
Three Dimensional ◽  
Integration Constant ◽  
Generalized Laguerre Polynomials ◽  
Existence And Stability ◽  
Light Bullets ◽  
Nonlocal Nonlinear

The general spherical beam solution of the three-dimensional (3D) spatiotemporal strongly nonlocal nonlinear (NN) Schrödinger equation in the form of light bullets is presented. The 3D spatiotemporal spherical beams are built by the products of generalized Laguerre polynomials and associated Legendre polynomials. By the choice of a specific integration constant, the spherical beam becomes an accessible soliton, which can exist in various forms. We confirm the existence and stability of these solutions by numerical simulations.

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