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Reduced Models for Noise-driven Limit-cycle Oscillators

Description:

Motivated by rhythms in the brain, we investigate the synchronization of noisy and all-to-all pulse-coupled oscillators. We consider a case where the oscillatory excursions are of varying amplitude and where only sufficiently large excursions result in the output pulses that drive the interactions between the oscillators. In the regime of...

Keyword:

Oscillators, Markov Renewal, Events, Mixed-mode, Spiking, and Noise

Subject:

Applied mathematics

Creator:

Karamchandani, Avinash Jagdish

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

05/31/2023

Date Created:

2023-01-01

Resource Type:

Dissertation

Alternate Identifier:

http://dissertations.umi.com/northwestern:16397 and etdadmin_upload_959050
Reduced Models for Noise-driven Limit-cycle Oscillators

Description:

Motivated by rhythms in the brain, we investigate the synchronization of noisy and all-to-all pulse-coupled oscillators. We consider a case where the oscillatory excursions are of varying amplitude and where only sufficiently large excursions result in the output pulses that drive the interactions between the oscillators. In the regime of...

Keyword:

Oscillators, Markov Renewal, Events, Mixed-mode, Spiking, and Noise

Subject:

Applied mathematics

Creator:

Karamchandani, Avinash Jagdish

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

03/24/2023

Date Created:

2023-01-01

Resource Type:

Dissertation

Alternate Identifier:

http://dissertations.umi.com/northwestern:16397 and etdadmin_upload_959050

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