Generation Analysis on a Novel Autonomous Chaotic System with Manifold Variable Lyapunov Exponents

摘要

A high-dimension chaotic system based on Multivariable Linkage Function is proposed, which has variable Lyapunov exponents and the capabilities to implement chaotic, hyperchaotic states, or both. Not only does it have more security than the former ones, but its expansibility and physical simplicity also excel others. Analysises on the eigenvalue problem of Jacobian matrix and their Lyapunov exponent spectrum are carried out, leading to two general conclusions. Simulations and analysis prove the novel system has theoretical and practical advantages in information security fields.