Analysis of chaotic patterns in the Bird wing map and implications in image security
Sachin, Phool Singh · Journal of Modern Optics · 2025
This manuscript introduces the Bird wing map, a nonlinear discrete chaotic system, analysed using bifurcation diagrams, Lyapunov exponents, and chaos decision trees. Its dynamical properties, including fixed points and stability, are examined theoretically. The dynamical characteristics of the Bird wing map are explored, including its fixed points and stability analysis. In addition to theoretical exploration, an image encryption algorithm exemplifying the practical applications of the Bird wing map is demonstrated. This encryption algorithm is based on the phase truncation algorithm in the Fresnel domain. The Bird wing map permutes pixels, and its parameters serve as encryption and decryption keys in the cryptosystem. Simulations were performed on various types of images, with results presented for the grayscale image Cameraman, binary ‘CHAOS’, medical and colour images. The proposed algorithm is also tested with basic cryptographic attacks. Results validate that proposed algorithm based on Bird wing map is secure and robust.