Usually means: Set where dynamic systems stabilize.
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We found 31 dictionaries that define the word attractor:

General (18 matching dictionaries)
  1. attractor: Merriam-Webster
  2. attractor: Oxford Learner's Dictionaries
  3. attractor: American Heritage Dictionary of the English Language
  4. attractor: Collins English Dictionary
  5. attractor: Vocabulary.com
  6. Attractor, attractor: Wordnik
  7. attractor: Wiktionary
  8. attractor: Infoplease Dictionary
  9. attractor: Dictionary.com
  10. Attractor (disambiguation), Attractor: Wikipedia, the Free Encyclopedia
  11. Attractor: Online Plain Text English Dictionary
  12. attractor: Webster's Revised Unabridged, 1913 Edition
  13. attractor: Rhymezone
  14. Attractor: AllWords.com Multi-Lingual Dictionary
  15. attractor: Webster's 1828 Dictionary
  16. attractor: FreeDictionary.org
  17. attractor: Mnemonic Dictionary
  18. attractor: TheFreeDictionary.com

Art (1 matching dictionary)
  1. Attractor: Lexicon of Linguistics

Business (4 matching dictionaries)
  1. MoneyGlossary.com (No longer online)
  2. attractor: Glossary of research economics
  3. attractor: Legal dictionary
  4. Attractor: Financial dictionary

Computing (1 matching dictionary)
  1. attractor: Encyclopedia

Medicine (1 matching dictionary)
  1. attractor: Medical dictionary

Science (4 matching dictionaries)
  1. Attractor: Eric Weisstein's World of Mathematics
  2. The Computational Beauty of Nature (No longer online)
  3. Attractor: Extragalactic Astronomy
  4. attractor: PlanetMath Encyclopedia

Sports (1 matching dictionary)
  1. Attractor: Sports Definitions

Tech (1 matching dictionary)
  1. Glossary of Meteorology (No longer online)

(Note: See attract as well.)

Definitions from Wiktionary (attractor)

noun:  Something which attracts.
noun:  (mathematics, physics) A set of points or states to which a dynamical system evolves after a long enough time. That is, points that get close enough to the attractor remain close even if slightly disturbed.

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