Math Bio Seminar - Shan Gao; University of Alberta

Title: Tipping in Ecological Systems Driven by Periodic Climate Variability

Abstract: Tipping points refer to abrupt, substantial, and often irreversible transitions in dynamical systems that can be triggered by minor perturbations. Four tipping mechanisms are recognized: bifurcation-induced tipping (B-tipping), focusing on the magnitude of changes; rate-induced tipping (R-tipping), focusing on the rate of changes; noise-induced tipping (N-tipping), emphasizing the role of randomness; and phase-induced tipping (P-tipping), highlighting the timing or phase of changes. In this talk, I will introduce another plausible mechanism for sudden shifts: a system can be driven to a tipping point by periodic external forcing at specific frequencies, even in the absence of stochasticity and while the forcing remains below the static bifurcation threshold.

Monday, November 17, 2025 3:30pm
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