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原文連結
論文資訊
- 類型：已發表論文
- 日期：2021-11-02
摘要
To explore basin geometry in high-dimensional dynamical systems, we consider a ring of identical Kuramoto oscillators. Many 吸引子s coexist in this system; each is a twisted periodic orbit characterized by a winding number q, with basin size proportional to e(-kq2). We uncover the geometry behind this size distribution and find the basins are octopuslike, with nearly all their volume in the tentacles, not the head of the octopus (the ball-like region close to the 吸引子). We present a simple geometrical reason why basins with tentacles should be common in high-dimensional systems.
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