Eur. Phys. J. Special Topics 228, 185–194 (2019)
https://doi.org/10.1140/epjst/e2019-800206-9

Regular Article

Cosine chaotification technique to enhance chaos and complexity of discrete systems

¹ Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Malaysia
² Malaysia-Italy Centre of Excellence for Mathematical Science, Universiti Putra Malaysia, Serdang, Malaysia
³ Department of Mathematics, Universiti Putra Malaysia, Serdang, Malaysia

^a e-mail: santoban@gmail.com

Received: 21 November 2018
Received in final form: 20 February 2019
Published online: 30 May 2019

Abstract

We hereby propose a cosine chaotification technique (CCT), which has simple structure, complex nonlinear dynamics and bounded orbits, to enhance the chaotic behavior as well as the complexity performance of discrete chaotic systems. To demonstrate the effectiveness of the CCT, we apply the CCT on three different examples, including one-dimensional (1D) logistic map, two population chaotic maps, and the three-dimensional (3D) Hénon map. Performance evaluations prove that the CCT can change the chaotic and non-chaotic states of these maps to chaotic or hyperchaotic state with higher complexity performance. Besides that, the generated maps by CCT have wider chaotic and hyperchaotic behaviors than the existing chaotic maps.