12–17 Jul 2026
University of Graz
Europe/Vienna timezone

Frequency-Induced Tipping: Resonant Forcing as a New Mechanism for Critical Transitions

MS131-08
17 Jul 2026, 11:20
20m
15.11 - HS (University of Graz)

15.11 - HS

University of Graz

102
Minisymposium Talk Population Dynamics, Ecology & Evolution Recent mathematical discoveries in Population Dynamics, Ecology and Evolution

Speaker

Shan Gao (University of Alberta)

Description

Tipping points refer to abrupt, substantial, and often irreversible transitions in dynamic systems that can be triggered by minor perturbations. Existing tipping mechanisms are usually classified by the nature of the trigger: bifurcation-induced tipping occurs when a parameter crosses a critical threshold, noise-induced tipping is caused by random perturbations, rate-induced tipping occurs when a system fails to track a moving attractor, and phase-induced tipping depends on the timing of perturbations relative to an oscillatory state. In this paper, we identify a distinct deterministic mechanism: frequency-induced tipping, in which periodic forcing drives a transition through resonant amplification even though the forcing range remains entirely within parameter values that are safe when held fixed.

Author

Shan Gao (University of Alberta)

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