Hyperchaos evolved from the generalized Lorenz equation

Abstract

In this letter, a new hyperchaotic system is formulated by introducing an additional state into the third-order generalized Lorenz equation. The existence of the hyperchaos is verified with bifurcation analysis, and the bifurcation routes from periodic, quasi-periodic, chaotic and hyperchaotic evolutions are observed. Various attractors are illustrated not only by computer simulation but also by the realization of an electronic circuit. Copyright © 2005 John Wiley & Sons, Ltd.