What question did this study set out to answer?

This research aims to establish the Turing instability threshold for the Ibaguner fractal operator system.

February 22, 20260 citationsOpen Access

Turing Instability in the Ibaguner Fractal Operator (IFO) Activator-Inhibitor System

Key Points

This research aims to establish the Turing instability threshold for the Ibaguner fractal operator system.
Derived the Turing instability threshold for the IFO Master Reaction-Diffusion system
Calculated the critical wave-number
Analyzed the relationship between the Ibaguner Constant and diffusion-driven patterns
Established exact threshold values for Turing instability
Derived a closed-form expression for critical wave-number
Connected specific constants to pattern formation dynamics

Abstract

We establish the exact Turing instability threshold for the IFO Master Reaction–Diffusion system and derive the closed-form critical wave-number. The result provides a mathematically disciplined criterion linking the Ibaguner Constant (0.3715) to diffusion-driven pattern formation.

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SİNAN İBAGÜNER (Thu,) studied this question.

synapsesocial.com/papers/699a9ca1482488d673cd2725 https://doi.org/https://doi.org/10.13140/rg.2.2.14560.34562