A mathematical model for whorl fingerprint

TL;DR

This paper introduces a mathematical dynamical system model to simulate various classes of whorl fingerprints, analyzing their stability and visualizing fingerprint patterns through phase portraits.

Contribution

It develops a novel differential equation-based model that captures the dynamics of whorl fingerprint classes and visualizes them using Maple software.

Findings

Different classes of whorl fingerprints are characterized by the model.

The stability of fingerprint patterns is analyzed through equilibrium points.

Fingerprint orientation images are visualized as deformations of phase portraits.

Abstract

Different classes of the whorl fingerprint are discussed. A general dynamical system with a parameter theta is created using differential equations to simulate these classes by varying the value of theta. The global dynamics is studied, and the existence and stability of equilibria are analyzed. The Maple is used to visualize fingerprint orientation image as a smooth deformation of the phase portrait of a planar dynamical system.