Characterization of a New Potential Family of Organic-Like Pattern-Generating Dynamical Systems
Tóm tắt
In this paper, we characterize a new broad family of discrete-time dynamical systems, whose organic-like patterns resemble part of the external morphology of some families of invertebrates and the bioluminescence of some specific families of zooplankton. We also present a new type of fractal structure that is hidden inside the relationship between the main control parameters of this kind of systems. The approach to obtain these patterns lies in observing that they are visualized exclusively when the families of systems are interpreted as a whole, unique, global structure, emerging an organic-like pattern only when they are assembled. The characterization is based on three pillars: facts obtained from numerical computation, the analysis of the bifurcation diagrams, and the study of the new fractal structure. The aforementioned new broad family of discrete-time dynamical systems and a new type of fractal structure are formulated. The study of these new systems could help in finding unexpected alternatives to the representation of the patterns generated by the mechanisms of segmentation and bioluminescence, especially in invertebrates.
Tài liệu tham khảo
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