COUPLED TENT AND LOGISTIC MAPS: LYAPUNOV EXPONENTS, STABILITY AND BIFURCATIONS OF INVARIANT SET BELONGING TO THE MAP DIAGONAL

摘要

For 2-dimensional coupled tent and logistic maps, there are presented rigorous mathematical result stating a connection between negativeness of their Lyapunov exponents transversal to the map "diagonal" and of asymptotically stability of invariant sets on the "diagonal".