Abstract: Based on the four-dimensional hyperchaotic systems,this paper studies the dynamical behaviors of a kind of four-dimensional hyperchaotic systems with exponential terms through numerical simulation and theoretical analysis.Dissipativity and the dimension of such a system,Poincaré cross-section,Lyapunov exponent,initial sensitivity,bifurcation diagrams and other properties are found.Bifurcations and chaotic phenomena of four-dimensional hyperchaotic systems are revealed,and valuable conclusions are drawn.This chaotic system has wide application potential and can be used to protect data security and information encryption.