The linearity of the master stability function

被引：3

作者：

Ramadoss, Janarthanan ^{[1
]}

Rajagopal, Karthikeyan ^{[2
,3
,4
]}

Natiq, Hayder ^{[5
]}

Hussain, Iqtadar ^{[6
]}

机构：

[1] Chennai Inst Technol, Ctr Artificial Intelligence, Chennai, Tamil Nadu, India

[2] Chennai Inst Technol, Ctr Nonlinear Syst, Chennai, Tamil Nadu, India

[3] Chandigarh Univ, Dept Elect & Commun Engn, Mohali 140413, Punjab, India

[4] Chandigarh Univ, Univ Ctr Res & Dev, Mohali 140413, Punjab, India

[5] Imam Jaafar Al Sadiq Univ, Informat Technol Coll, Baghdad 10001, Iraq

[6] Qatar Univ, Dept Math Stat & Phys, Doha 2713, Qatar

来源：

EPL | 2022年 / 139卷 / 01期

关键词：

SYNCHRONIZATION; NETWORKS; NEURONS; MODEL;

D O I：

10.1209/0295-5075/ac4199

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The master stability function (MSF) is a tool to evaluate the local stability of the synchronization in coupled oscillators. Computing the MSF of a network of a specific oscillator results in a curve whose shape is dependent on the nodes' dynamics, network topology, coupling function, and coupling strength. This paper calculates the MSF of networks of two diffusively coupled oscillators by considering different single variable and multi-variable couplings. Then, the linearity of the MSF is investigated by fitting a straight line to the MSF curve, and the root mean square error is obtained. It is observed that the multi-variable coupling with equal coefficients on all variables results in a linear MSF regardless of the dynamics of the nodes. Copyright (C) 2022 EPLA

引用

页数：7

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