Extension of Lorenz Unpredictability


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AKHMET M. , Fen M. O.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, cilt.25, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 25 Konu: 10
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1142/s0218127415501266
  • Dergi Adı: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

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.