Dominant collective motion in globally coupled tent maps

نویسندگان

  • Naoko NAKAGAWA
  • Teruhisa S. KOMATSU
چکیده

We investigate collective motion in high dimensional chaos, where all elements in a population behaves chaotically and incoherently in appearance. Numerical experiments for globally coupled tent maps show the existence of a quasi-periodic collective motion even under slight interaction. It is found that the amplitude of the collective motion F is scaled as, KF ∝ exp(−K−1), by the coupling strength K. The collective motion is qualitatively equivalent over a parameter range of O(KF ) in the tent map. The phase diagram for the collective motion is studied in detail from a viewpoint of the dominant collective motion. 05.45+b 05.90+m Typeset using REVTEX

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تاریخ انتشار 1998