A deterministic node mobility model for mobile Ad Hoc wireless network using Signum-based discrete-time chaotic map

This paper presents a chaos-based deterministic node mobility model for mobile Ad Hoc wireless networks. Unlike other conventional entity or group mobility models that realize probability distributions in stochastic processes, this paper alternatively realizes a deterministic process for randomness generations in mobility movement patterns. The newly proposed first-order discrete-time chaotic map based on Signum function provides robust, fast and highly-random movement patterns. Node velocities and directions are defined by chaotic signal output values. Simulation results include comparisons of node movement trajectories, random speed and direction of mobility nodes under particular control parameters, and an average speed. Particular feature of the proposed node mobility is the synchronization among mobility nodes. The proposed approach offers a potential alternative to imitate controllable real-world user movement patterns through deterministic model.