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Session S25 - New Methods and Emerging Applications in Dynamics, Networks, and Control

Tuesday, July 13, 16:35 ~ 17:05 UTC-3

Carryover of a saddle-node bifurcation after transforming a parameter into a variable

Gustavo Carrero

Athabasca University, Canada   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this presentation, we introduce and study the carryover of a saddle-node bifurcation, a concept that describes how a saddle-node bifurcation of a dynamical system is carried over into an extended dynamical system obtained by transforming one of the parameters of the original system into a variable. We show the conditions needed to guarantee the carryover of a saddle-node bifurcation, provide a graphical methodology with a two-parameter bifurcation diagram to verify that such conditions are met, and illustrate the results with examples.

Joint work with Gerda de Vries (University of Alberta, Canada) and Carlos Contreras (University of Alberta, Canada).

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