Cyclic evasion in the three bug problem

Maxim Arnold, Vadim Zharnitsky

Research output: Contribution to journalArticlepeer-review

Abstract

In this note, we present a simple proof that three bugs involved in cyclic evasion converge to an equilateral triangle configuration. The approach relies on an energy-Type estimate that makes use of a new inequality for the triangle.

Original languageEnglish (US)
Pages (from-to)377-380
Number of pages4
JournalAmerican Mathematical Monthly
Volume122
Issue number4
DOIs
StatePublished - 2015

ASJC Scopus subject areas

  • Mathematics(all)

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