Living on the Edge of Noise-driven Order

Transient or unstable behavior is often ignored in considering long time dynamics in the deterministic world. However, stochastic effects can change the picture dramatically, so that the transients can dominate the long range behavior. This talk will compare a few seemingly unrelated canonical models with noise-driven regular behaviors, such as coherent oscillations, synchronization, mixed mode oscillations and even quiescence, that are transient in the absence of noise. Perspectives combining ideas from coherence resonance, meta-stability, and multiples scales show that the order in these models can be attributed to transients "stabilized" by stochastic effects. These perspectives suggest analysis on reduced models to better understand and predict these phenomena.

Rachel Kuske, University of British Columbia, Canada

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