Detecting resonances in conservative maps using evolutionary algorithms

Y. G. Petalas, C. G. Antonopoulos, T. C. Bountis, M. N. Vrahatis

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25 Citations (Scopus)

Abstract

A numerical method is proposed for detecting resonances of conservative maps which reduces this task to an optimization problem. We then solve this problem using evolutionary algorithms, which are methods for global optimization inspired by biological evolution. The proposed methodology is simple and can be easily applied to maps of arbitrary dimensions. In this Letter we apply it to several examples of 2- and 4-dimensional conservative maps, with quite promising results concerning integrability, the location of resonances and the presence of chaotic regions surrounding the island chains that correspond to these resonances.

Original languageEnglish
Pages (from-to)334-341
Number of pages8
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume373
Issue number3
DOIs
Publication statusPublished - Jan 12 2009

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Keywords

  • Conservative maps
  • Evolutionary algorithms
  • Integrability
  • Resonances

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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