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

SİNAN İBAGÜNER

doi:10.13140/rg.2.2.14560.34562

January 1, 2026Open Access

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

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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

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Implication

Mathematical analysis reveals the Turing instability threshold in a reaction-diffusion system, linking to pattern formation.

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 (2026) studied this question.

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

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

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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