HYPERCHAOS AND CHAOTIC HIERARCHY IN LOW-DIMENSIONAL CHEMICAL-SYSTEMS

Chemical reaction chains with feedback of one of the products on the s ource of the chain are considered. A strategy is presented in terms of ordinary differential equations which creates one, two, and three pos itive Lyapunov exponents as the finite dimension of the system is incr eased. In particular, a nonlinear inhibition loop in a chemical reacti on sequence controls the type of chaos. The bifurcation scenarios are studied and chaos and hyperchaos are found for broad regions of bifurc ation parameter. Some implications for the occurrence of higher chaos in real systems are discussed.