Hidden Attractors in Chaotic Systems with Nonlinear Functions

Abstract

In the present work, an interesting mini-review of hidden attractors in dynamical systems with associated nonlinear functions is carried out. Chaotic systems with nonlinear functions often possess hidden attractors due to their inherent complexity. These attractors can arise in various mathematical models, such as the Lorenz system, Rössler system, or Chua's circuit. The identification and comprehension of hidden attractors broaden our understanding of complex systems and provide new directions for future study and technological development. The discovery and characterization of hidden attractors in chaotic systems have profound implications for various scientific disciplines, including physics, biology, and engineering.

Keywords

• Hidden attractors
• Chaotic systems
• Nonlinear functions
• Fixed points
• Numerical simulations

Supporting Institution

Consejo Estatal de Ciencia y Tecnología del Estado de Jalisco

Thanks

G.H.C. acknowledges the Fondo de Desarrollo Científico de Jalisco para atender Retos Sociales (2022), for the approved project 10304-2022

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