Chaos-hyperchaos transition in coupled Rossler systems

Many of the nonlinear high-dimensional systems have hyperchaotic attractors. Typical trajectory on such attractors is characterized by at least two positive Lyapunov exponents. We provide numerical evidence that chaos-hyperchaos transition in six-dimensional dynamical system given by flow can be characterized by the set of infinite number of unstable periodic orbits embedded in the attractor as it was previously shown for the case of two coupled discrete maps. (C) 2001 Elsevier Science B.V. All rights reserved.