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NCTS Webinar on Nonlinear Evolutionary Dynamics
 
16:00 - 17:30, December 6, 2023 (Wednesday)
Cisco Webex, Online seminar
(線上演講 Cisco Webex)
Canard Cascading in Systems with Slow-fast Active Mean-field Coupling
Serhiy Yanchuk (University College Cork)

Abstract

The phenomenon of canard cascading is observed in network systems with global adaptive coupling that is slower than the network elements. It is characterized by rapid transitions between distinct quasi-stationary states. In a model of coupled semiconductor lasers, the canard transitions result in the sequential switching on and off of the lasers. We describe the mechanisms behind the phenomenon of canard cascading. Notably, the dynamically unstable quasi-stationary states are robustly observed during the canard cascading. The emergence of these states is attributed to the dynamic (heteroclinic) connections that organise the quasi-stationary states along a path that is visited recurrently by the system.
 

WebEx Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m6d00c598253cfec9d12b17097e0b87c7

Meeting number (access code): 2513 843 9030
Meeting password: sjVTeMfg884


 

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