Extension of Lorenz Unpredictability

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AKHMET M., Fen M. O.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, cilt.25, sa.10, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 10
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1142/s0218127415501266
  • Dergi Adı: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Lorenz system, chaos extension, sensitivity, period-doubling cascade, intermittency, cyclic chaos, GENERALIZED SYNCHRONIZATION, DYNAMICAL SYNTHESIS, STRANGE ATTRACTORS, CHAOS, MODEL, PREDICTABILITY, BIFURCATIONS, CONVECTION, WEATHER, SYSTEM
  • TED Üniversitesi Adresli: Hayır

Özet

It is found that Lorenz systems can be unidirectionally coupled such that the chaos expands from the drive system. This is true if the response system is not chaotic, but admits a global attractor, an equilibrium or a cycle. The extension of sensitivity and period-doubling cascade are theoretically proved, and the appearance of cyclic chaos as well as intermittency in interconnected Lorenz systems are demonstrated. A possible connection of our results with the global weather unpredictability is provided.