ABSTRACT
Abstract In recent years, some attempts have been made to distinguish classes of boundary value problems (BVPs) for partial differential equations (PDEs) whose solutions are essentially determined by the iteration of a map (see, for example, [5], [8], [9], [10], [11], and [13]). The advantages are clear, since even the notion of chaos can be taken from discrete dynamical systems: we say that such a PDE system is chaotic if the map that determines its solution exhibits chaos as a discrete dynamical system. In this paper we consider the time-delayed Chua’s circuit introduced in [7] the behavior of which is determined by properties of a one-dimensional map, [3], [7], [11] and [12]. We study this map in terms of symbolic dynamics that makes it possible to characterize the associated time evolution of the time-delayed Chua’s circuit.
In recent years, some attempts have been made to distinguish classes of boundary value problems for partial differential equations whose solutions are essentially determined by the iteration of a map (see, for example, [5], [8], [9], [10], [11], and [13]). These classes consist mainly of problems for which the representation of the general solution is known. The reduction to a difference equation with continuous argument followed by the employment of the
