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Exponential stable manifold for some linear system with application to the mean field models

22 September 2023, Version 1
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

We study the existence of the exponential stable manifold for some linear system and we give some proprieties. We apply the results to the mean field systems similar to the Winfree model in the synchronized state. More precisely, we study it linearized system. This method can be applied to more generalized mean field models.

Keywords

Exponential stability
periodic system
mean field theory
coupled oscillators
synchronization
Winfree model

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Version History

Sep 22, 2023 Version 1

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License

All Rights Reserved

DOI

10.33774/coe-2023-c3k29
D O I: 10.33774/coe-2023-c3k29 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) declare that they have sought and gained approval from the relevant ethics committee/IRB for this research and its publication.

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