A new three-dimensional chaotic system

a single four-scroll attractor

Autores/as

  • 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

Palabras clave:

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

Resumen

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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Publicado

22-08-2017

Cómo citar

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. Recuperado a partir de https://publicacoes.unifal-mg.edu.br/revistas/index.php/sigmae/article/view/496

Número

Vol. 6 Núm. 1 (2017): "Good day sunshine"

Sección

Pure Mathematics

Licencia

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