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arXiv 1909.05727nlin.AOcond-mat.softnlin.CD
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生态学和经济学中竞争模型的Zip和Velcro分叉

Zip and velcro bifurcations in competition models in ecology and economics

Jason A. C. Gallas

摘要:

在过去的六年左右,一些有趣的论文讨论了系统的线段的平衡,平面的平衡,并与更一般的平衡配置。本说明提请注意这样一个事实,即米克洛什·法卡斯(Miklós Farkas,1932-2007)在1984-2005年发表的论文中曾考虑过这种均衡。他把那些涉及平衡线的拉链分叉,和那些涉及平衡平面的维可牢分叉。我们简要描述了涉及拉链和尼龙搭扣分叉的典型情况。

英文摘要:

During the last six years or so, a number of interesting papers discussed systems with line segments of equilibria, planes of equilibria, and with more general equilibrium configurations. This note draws attention to the fact that such equilibria were considered previously by Miklós Farkas (1932-2007), in papers published in 1984-2005. He called zip bifurcations those involving line segments of equilibria, and velcro bifurcations those involving planes of equilibria. We briefly describe prototypical situations involving zip and velcro bifurcations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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