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 po sitive Lyapunov exponents. We provide numerical evidence that chaos-hyperch aos transition in six-dimensional dynamical system given by flow can be cha racterized by the set of infinite number of unstable periodic orbits embedd ed 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.