Timeline for Stability when linearization fails
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Feb 6, 2018 at 23:08 | comment | added | mystupid_acct | John Crawford has done center manifold analysis for the mean-field limit (N infinity). I am not aware of similar work for finite N | |
| Feb 6, 2018 at 21:13 | comment | added | Mohit | Well, you are spot on. These are Lienard-type oscillators which do bear a resemblance to phase oscillator dynamics of Kuramoto in some parametric regimes as you see here. But all the Kuramoto literature that I have seen apply to oddly specific coupling case with delays or stochastic terms, use numerical arguments etc. For instance, here's a classic paper by Strogatz on Josephson arrays and he just leaves it at neutral stability. journals.aps.org/pre/abstract/10.1103/PhysRevE.47.220 | |
| Feb 6, 2018 at 21:04 | comment | added | mystupid_acct | Is this some kind of extension of the kuramoto model ? Center manifold theory was used in the analyzing the original kuromoto model by many folks.,..you can start there | |
| Feb 6, 2018 at 20:50 | history | edited | Mohit | CC BY-SA 3.0 |
fixed formatting
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| Feb 6, 2018 at 20:49 | comment | added | Mohit | Well, I do understand that but it looks very daunting (at least to me) to apply center manifold theory here. Any suggestions on how I should go about it? | |
| Feb 6, 2018 at 20:44 | history | edited | Mohit | CC BY-SA 3.0 |
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| Feb 6, 2018 at 20:41 | comment | added | mystupid_acct | yes, this is what center manifold theory is built for. | |
| Feb 6, 2018 at 20:36 | history | asked | Mohit | CC BY-SA 3.0 |