Anti-Control of Chaos for First-Order Partial Difference Equations via Sine and Cosine Functions

Abstract

In this paper, anti-control of chaos for first-order partial difference equations with nonperiod boundary condition is studied. Three new chaotification schemes for first-order partial difference equations with sine and cosine functions are established, respectively. It is proved that all the systems are chaotic in the sense of both Devaney and Li–Yorke by applying coupled-expanding theory of general discrete dynamical systems. Two illustrative examples are provided with computer simulations