Generating Infinitely Many Coexisting Attractors via a New 3D Cosine System and Its Application in Image Encryption

In this paper, a new third-order chaotic system which has extremely multistability is constructed by introducing the boosted control of cosine function. comparison with other systems multistability, proposed can spontaneously generate infinitely many coexisting attractors towards two directions phase plane. It indicates output more sequences different amplitudes at same time. This peculiar physical phenomena very interesting and worth studying. Relative to original system, chaos characteristic obviously enhanced, value max Lyapunov exponent increased significantly complexity was higher. particular, periodic windows become chaos. means better characteristics. If applied field cryptography, it would be model as pseudo-random signal generator (PRSG). Then, image encryption algorithm designed based on discrete its safety performance tested. The experimental results demonstrate feasibility application in cryptography.