Chaotic Map Construction from Common Nonlinearities and Microcontroller Implementations


ABLAY G.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, vol.26, no.7, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 7
  • Publication Date: 2016
  • Doi Number: 10.1142/s0218127416501212
  • Title of Journal : INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Abstract

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.