Chaotic Map Construction from Common Nonlinearities and Microcontroller Implementations

ABLAY G.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, cilt.26, sa.7, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 7
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1142/s0218127416501212
  • Dergi Adı: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Chaos, discrete chaos, chaotic map, random number, microcontroller, LOGISTIC MAP, COUPLED MAP, SYSTEMS, ARDUINO
  • Abdullah Gül Üniversitesi Adresli: Evet

Özet

This work presents novel discrete-time chaotic systems with some known physical system non-linearities. Dynamic behaviors of the models are examined with numerical methods and Arduino microcontroller-based experimental studies. Many new chaotic maps are generated in the form of x(k + 1) = rx(k) + f(x(k)) and high-dimensional chaotic systems are obtained by weak coupling or cross-coupling the same or different chaotic maps. An application of the chaotic maps is realized with Arduino for chaotic pulse width modulation to drive electrical machines. It is expected that the new chaotic maps and their microcontroller implementations will facilitate practical chaos-based applications in different fields.