Replication of chaos

AKHMET M., Fen M. O.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, cilt.18, sa.10, ss.2626-2666, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 10
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/j.cnsns.2013.01.021
  • Dergi Adı: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2626-2666
  • Anahtar Kelimeler: Replication of chaos, Hyperbolic set of functions, Chaotic set of functions, Period-doubling cascade, Devaney chaos, Li-Yorke chaos, Intermittency, Chaotic attractor, Chaos control, Shil'nikov orbits, The double-scroll Chua's attractor, Quasiperiodicity, Morphogenesis of chaos, LI-YORKE CHAOS, TRANSITION, EQUATION, CIRCUIT, SYSTEMS, SYNCHRONIZATION, HYPERCHAOS, ATTRACTORS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We propose a rigorous method for replication of chaos from a prior one to systems with large dimensions. Extension of the formal properties and features of a complex motion can be observed such that ingredients of chaos united as known types of chaos, Devaney's, Li-Yorke and obtained through period-doubling cascade. This is true for other appearances of chaos: intermittency, structure of the chaotic attractor, its fractal dimension, form of the bifurcation diagram, the spectra of Lyapunov exponents, etc. That is why we identify the extension of chaos through the replication as morphogenesis.