A New Six-Term 3D Unified Chaotic System


Can E., KOCAMAZ U. E. , UYAROĞLU Y.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY-TRANSACTIONS OF ELECTRICAL ENGINEERING, vol.44, no.4, pp.1593-1604, 2020 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.1007/s40998-020-00325-5
  • Journal Name: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY-TRANSACTIONS OF ELECTRICAL ENGINEERING
  • Journal Indexes: Science Citation Index Expanded, Scopus, ABI/INFORM, Agricultural & Environmental Science Database, Communication Abstracts, INSPEC
  • Page Numbers: pp.1593-1604
  • Keywords: Sprott B chaotic flow, Sprott C chaotic flow, van der Schrier-Mass chaotic system, Munmuangsaen-Srisuchinwong chaotic system, Unified chaotic system, UNKNOWN-PARAMETERS, SPROTT-B, SYNCHRONIZATION, COMMUNICATION, CIRCUIT, IMPLEMENTATION, ATTRACTORS, SIMULATION, DYNAMICS, EQUATION

Abstract

In this study, four different 3D five-term chaotic flows are unified and a novel six-term 3D unified chaotic system with three nonlinearities is introduced. Firstly, the theoretical system via an electronic circuit is realized, and then the basic dynamical properties of the proposed unified chaotic system are numerically and analytically analyzed, i.e., sensitivity to initial conditions, equilibrium points, eigenvalues, Kaplan-Yorke dimensions, dissipativity, Lyapunov exponents and bifurcation diagrams. Investigation results clearly present that this is a new unified chaotic system and earns further detailed disquisition.