Entrainment by Chaos


AKHMET M. , Fen M. O.

JOURNAL OF NONLINEAR SCIENCE, cilt.24, ss.411-439, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 24 Konu: 3
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s00332-014-9194-9
  • Dergi Adı: JOURNAL OF NONLINEAR SCIENCE
  • Sayfa Sayıları: ss.411-439

Özet

A new phenomenon, the entrainment of limit cycles by chaos, which results from the appearance of cyclic irregular behavior, is discussed. In this study, sensitivity is considered as the main ingredient of chaos to be captured, and the period-doubling cascade is chosen for extension. Theoretical results are supported by simulations and discussions regarding Chua's oscillators, entrainment of toroidal attractors by chaos, synchronization, and controlling problems. It is demonstrated that the entrainment cannot be considered as generalized synchronization of chaotic systems.