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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Hidden Attractors in a New 6D Hyperchaotic System with Absolute Value and Hyperbolic Tangent Functions

Journal of Applied Nonlinear Dynamics 15(3) (2026) 575--588 | DOI:10.5890/JAND.2026.09.005

M. I. Kopp

Institute for Single Crystals, NAS Ukraine, Nauky Ave. 60, Kharkiv 61072, Ukraine

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Abstract

This paper presents a novel six-dimensional (6D) chaotic dynamic system with a simple structure consisting of thirteen terms, including absolute value and hyperbolic tangent functions. The new 6D system, which lacks equilibrium points, exhibits hidden attractors and displays a range of dynamic behaviors such as chaotic, chaotic 2-torus, and hyperchaotic states. A comprehensive dynamical analysis is conducted, featuring bifurcation diagrams, Lyapunov exponents, Kaplan-Yorke dimensions, multistability, and offset boosting control. The proposed system, despite its structural simplicity, exhibits intricate chaotic dynamics, making it suitable for various practical applications.

Acknowledgments

I thank two anonymous reviewers for their valuable suggestions and comments.

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