30 September 2018 3 9K Report

We are working on some projects related to networks of coupled nonlinear oscillators. We want to obtain “Master Stability Function” (MSF) in our network.

1. Is there any sample code available in the internet for it (we searched, but we couldn’t find any)?

2. Can someone please introduce us some papers who have obtained MSF for simple examples?

3. Is there any major difference between 2D systems and 3D systems in the procedure of calculating MSF?

Let me say everything in an easier way. Suppose that we have only 2 identical Lorenz systems, which are coupled through variable “x” with the coupling strength “d”. How can I obtain MSF when I change “d”? Is there any available code for it? If you have any answer for this question, is it applicable and meaningful for two identical Van der Pol systems (which are 2D) which are coupled through variable “x” with the coupling strength “d”?

Many thanks in advance,

Sajad

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