A smooth chaotic map with parameterized shape and symmetry

摘要: We introduce in this paper a new chaotic map with dynamical properties controlled by two free parameters. The definition is based on the hyperbolic tangent function, so it called tanh map. demonstrate that Lyapunov exponent of robust, remaining practically unaltered variation its As main application, we consider communication system symbolic dynamics advantages over current approaches use piecewise linear maps. In context, propose measure, namely, spread rate, to study local structure one-dimensional