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math.DS2022
Extinction of multiple populations and a team of Die-out Lyapunov functions
Naghmeh Akhavan, James A. Yorke
The extinction of species is a major problem of concern with a large literature. Our investigation gives insight into when species extinctions must occur, with an emphasis on deter…
math.DS2022
The twisted baker map
Yoshitaka Saiki, Hiroki Takahasi, James A. Yorke
As a model to provide a hands-on, elementary understanding of "vortex dynamics", we introduce a piecewise linear non-invertible map called a twisted baker map. We show that the set…