Search on the brink of chaos

Research output: Contribution to journalArticle

Abstract

The linear search problem is studied from the view point of Hamiltonian dynamics. For the specific, yet representative case of exponentially distributed position of the hidden object, it is shown that the optimal orbit follows an unstable separatrix in the associated Hamiltonian system.

Original languageEnglish (US)
Pages (from-to)3023-3047
Number of pages25
JournalNonlinearity
Volume25
Issue number11
DOIs
StatePublished - Nov 1 2012

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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