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arXiv · 2603.10525

A rate-induced tipping in the Pearson diffusion

Hidekazu Yoshioka
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Abstract

Rate-induced tipping is an instability that occurs in a system when its time-dependent rate parameter becomes larger than a threshold value. We investigate a Pearson diffusion process, a diffusion process having solutions staying in a bounded domain under certain conditions, whose noise-free limit experiences a rate-induced tipping such that solutions escape from the domain in a finite time. We show that the existence of noise leads to faster escapement from the domain.

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Hidekazu Yoshioka. 2026-03-11. A rate-induced tipping in the Pearson diffusion. https://doi.org/10.1007/978-3-032-00914-2_9

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