Generating hyperchaotic systems with multiple positive Lyapunov exponents

This paper introduces a novel approach for generating continuous-time autonomous hyperchaotic systems with multiple positive Lyapunov exponents. In detail, this paper develops two general design principles for constructing various hyperchaotic systems with desired numbers of positive Lyapunov exponents. Two typical examples are then given to verify the proposed design principle. In particular, the developed method can design hyperchaotic systems with any multiple positive Lyapunove exponents by following a unified procedure compared with the traditional trial-and-error approach.