A new three-dimensional chaotic system

a single four-scroll attractor

Authors

  • Amir Hosein Refahi Sheikhani Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran
  • Peyman Gholamin Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran https://orcid.org/0000-0001-8599-9981
  • Alireza Ansari https://orcid.org/0000-0003-4387-3779

Keywords:

Chaos, New chaotic system, Lyapunov exponents, Poincar´e map, Compound structure.

Abstract

In this paper, a new three-dimensional autonomous chaotic system is presented with nine terms including three multipliers, which is different from the Lorenz system and other existing systems. Basic dynamical properties of the new system are analyzed via equilibria, Lyapunov exponent spectrum, a dissipative system, phase portraits, the Poincar map and bifurcation diagrams. The compound structures of this new system are also analyzed. The theoretical analysis and numerical simulation validate the main results of this paper.

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Published

22-08-2017

How to Cite

Refahi Sheikhani, A. H., Gholamin, P., & Ansari, A. (2017). A new three-dimensional chaotic system: a single four-scroll attractor. Sigmae, 6(1), 1–14. Retrieved from http://publicacoes.unifal-mg.edu.br/revistas/index.php/sigmae/article/view/496

Issue

Section

Pure Mathematics