The Modeling and Simulation of a Class of Hyperchaos

A class of hyperchaos is modeled based on a modified smooth three-dimensional chaotic system by adding a feedback controller. The new hyperchaos has two very large positive Lyapunov exponents in a quite wide parameter region through observing the Lyapunov exponents spectra. Some simulations of the phase portraits of hyperchaotic attractors are made to show the complicated system orbits. The Poincare section analysis show that the new system bifurcates and folds in various directions. The frequency spectra are also plotted to show that the system has an extremely broad bandwidth when it is hyperchaotic, which implies that the system has high complexity and randomness, and may have great potential in chaos-needed fields such as secure communication and encryption.