New Theoretical Insights Unraveling Color Pattern in the Flowers of Passiflora incarnata

TL;DR

This paper introduces a theoretical model using chaos theory and bifurcation diagrams to analyze and explain the color pattern changes in Passiflora incarnata flowers, linking biological observations with mathematical modeling.

Contribution

It proposes a novel two-degree polynomial mapping model to study flower color oscillations, connecting chaos theory with botanical color pattern analysis.

Findings

Color pattern changes correlate with bifurcation diagram features

A polynomial mapping model explains violet-white band formation

Chaos theory provides insights into flower petal color dynamics

Abstract

The change in the color pattern of the petals of Passiflora incarnata is studied using the chaos theory in the form of logistic maps and plotted using the corresponding bifurcation diagram. Based on a colorful inspection of the beginning of violet-colored dots along the filament of the flower's bud stage and the emergence of alternating bands of violet and white color in the matured bloom, it is possible to deduce that a two-degree model for polynomial mapping can be used to study color oscillations in the flower.