Type: xxx Henon Map based Chaotic Pulse Train Generator

Abstract The Henon Map forms one of the most-studied two dimensional discrete-time dynamical system that exhibits chaotic behavior. The Hénon map takes a point (xn, yn) in the plane and maps it to a new point (xn+1, yn+1). In this paper, a pulse generator based on chaotic Henon map is proposed. It consists of a Henon map function subcircuit to realize the Henon map and a subcircuit to carry out the iterative operation. The Henon map subcircuit comprises of operational amplifiers, multipliers, delay elements and resistors whereas, the iterative subcircuit is implemented with a simple design without any clock control. The proposed design can be used to realize Henon map and also to generate chaotic pulse train, with a controllable time interval and pulse position. The proposed circuit is designed and implemented using Multisim. The chaotic nature of the generated pulse train and also the time interval between the consecutive pulses can be verified by the calculation of its Lyapunov Exponents.