Year: 2025
Type: article
Abstract: Fractal Dimensions and appearance of chaos play very crucial role in studying the dynamical behavior of a nonlinear system, particularly a cubic map in the form ∅(𝑢) = 𝑝𝑢 + 𝑞𝑢 2 + 𝑟 𝑢 3 , where 𝑝, 𝑞 𝑎𝑛𝑑 𝑟 are well-defined parameters .In this paper, we develop some methods to calculate fractal dimensions for our proposed cubic map.We mainly evaluate Box-Counting (Grid-Counting) dimension, Information Dimension, Correlation and Generalized Dimension in the cubic map ∅ , and a meta analysis is carried out on the role of chaos in such a map .A few open problems are highlighted
Authors: Sankar Haloi, Tarini Kumar Dutta, Palash Nath
Institutions: Assam Don Bosco University, Cotton University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4409806396