Optimal targeting of chaos

Erik M. Bollt, Eric Kostelich

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

Standard graph theoretic algorithms are applied to chaotic dynamical systems to identify orbits that are optimal relative to a prespecified cost function. We reduce the targeting problem to the problem of finding optimal paths through a graph. Numerical experiments on one-dimensional maps suggest that periodic saddle orbits of low period are typically less expensive to target (relative to a family of smooth cost functions) than periodic saddle orbits of high period.

Original languageEnglish (US)
Pages (from-to)399-406
Number of pages8
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume245
Issue number5
DOIs
StatePublished - Aug 24 1998

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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