Network synchronization in a population of star-coupled fractional nonlinear oscillators

2010 ◽  
Vol 374 (13-14) ◽  
pp. 1464-1468 ◽  
Author(s):  
Junwei Wang ◽  
Yanbin Zhang
Keyword(s):  
Nonlinear Oscillators ◽  
Network Synchronization

Performance analysis of global local mean square error criterion of stochastic linearization for nonlinear oscillator

2019 ◽  
Author(s):  
Nguyen Cao Thang ◽  
Luu Xuan Hung
Keyword(s):  
Performance Analysis ◽  
Mean Square Error ◽  
Nonlinear Oscillators ◽  
Degree Of Freedom ◽  
Equivalent Linearization ◽  
Mean Square ◽  
Error Criterion ◽  
Stochastic Linearization ◽  
Local Mean ◽  
Mean Square Error Criterion

The paper presents a performance analysis of global-local mean square error criterion of stochastic linearization for some nonlinear oscillators. This criterion of stochastic linearization for nonlinear oscillators bases on dual conception to the local mean square error criterion (LOMSEC). The algorithm is generally built to multi degree of freedom (MDOF) nonlinear oscillators. Then, the performance analysis is carried out for two applications which comprise a rolling ship oscillation and two degree of freedom one. The improvement on accuracy of the proposed criterion has been shown in comparison with the conventional Gaussian equivalent linearization (GEL).

Simulation model of the process of functioning and restoration of the network clock network synchronization

2020 ◽  
Vol 4 ◽  
pp. 83-90
Author(s):  
Andrey Kanaev ◽  
◽  
Maria Sakharova ◽  
Evgeny Oparin ◽  
Keyword(s):  
Simulation Model ◽  
Network Synchronization ◽  
Key Indicator ◽  
Clock Network ◽  
Mode Of Transmission ◽  
The Moment

This article provides a simulation model of the process of functioning and restoration of a network clock network (CNS), which is distinguished by the completeness of accounting for the states of the process of functioning of the CNS network. The key indicator of the process of functioning of the CNS network is the duration of the control cycle of the CNS network, which is understood as the time from the moment a failure occurs on the CNS network until the moment the mode of transmission of synchronization signals is restored. On the basis of the developed simulation model of the process of functioning and restoration of the CNS network, the duration of the control cycle of the CNS network is estimated depending on the time spent in individual states of the process of functioning of the TSS network and on the characteristics of individual subsystems of the CNS system. The results obtained can serve as a basis for developing sound strategies and plans for managing the CNS network.

A new modification of the homotopy perturbation method

2021 ◽  
pp. 095745652199987
Author(s):  
Magaji Yunbunga Adamu ◽  
Peter Ogenyi
Keyword(s):  
Comparative Analysis ◽  
Error Analysis ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Nonlinear Oscillators ◽  
Absolute Error ◽  
New Method ◽  
Optimal Analysis ◽  
Homotopy Perturbation ◽  
Accuracy And Precision

This study proposes a new modification of the homotopy perturbation method. A new parameter alpha is introduced into the homotopy equation in order to improve the results and accuracy. An optimal analysis identifies the parameter alpha, aimed at improving the solutions. A comparative analysis of the proposed method reveals that the new method presents results with higher degree of accuracy and precision than the classic homotopy perturbation method. Absolute error analysis shows the convenience of the proposed method, providing much smaller errors. Two examples are presented: Duffing and Van der pol’s nonlinear oscillators to demonstrate the efficiency, accuracy, and applicability of the new method.

scholarly journals Reconstructing the structure of directed and weighted networks of nonlinear oscillators

2017 ◽  
Vol 95 (4) ◽  
Author(s):  
Francesco Alderisio ◽  
Gianfranco Fiore ◽  
Mario di Bernardo
Keyword(s):  
Nonlinear Oscillators ◽  
Weighted Networks
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