Hidden Extreme Multistability in a Complex Lorenz-type Chaotic System with Stable Equilibria

https://doi.org/10.58571/CNCA.AMCA.2025.050

Resumen: Chaos phenomena have been the subject of study for decades. Even now, it remains a trending topic, as new effects are continually discovered, such as hidden attractors, fractionalorder variants, and multistability, to name a few, which continue to open and expand the frontiers for chaos-based applications. Herein, this paper presents a new complex-valued chaotic system with striking characteristics, including hidden attractors that coexist with multistability and extreme multistability. In particular, the proposed system possesses two equilibrium points with positive real parts, indicating that both equilibria are stable. Surprisingly, the proposed systems generate chaos for a determined set of parameters. Analytical formulations are given to demonstrate the conditions for chaos emergence. Additionally, the chaotic behavior is numerically described using bifurcation diagrams and phase portraits.

¿Cómo citar?

Vargas-Cabrera, L., Félix-Beltrán, O. & Munoz-Pacheco, J. (2025). Hidden Extreme Multistability in a Complex Lorenz-type Chaotic System with Stable Equilibria. Memorias del Congreso Nacional de Control Automático 2025, pp. 291-295. https://doi.org/10.58571/CNCA.AMCA.2025.050

Palabras clave

Lorenz system, chaos, hidden attractors, extreme multistability, complex domain.

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