On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator

Abstract

With the constant increase of the number of autonomous vehicles and connected objects, tools to understand and reproduce their mobility models are required. We focus on chaotic dynamics and review their applications in the design of mobility models. We also provide a review of the nonlinear tools used to characterize mobility models, as it can be found in the literature. Finally, we propose a method to generate traces for a given scenario involving moving people, using tools from the nonlinear analysis domain usually dedicated to topological analysis of chaotic attractors.

arXiv comment22 pages, 7 figures, to be published in Journal of Difference Equations and Applications

References in corpus (10)

• A New Test for Chaos
• Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction
• Revealing networks from dynamics: an introduction
• Adaptive synchronization of dynamics on evolving complex networks
• Coupled Replicator Equations for the Dynamics of Learning in Multiagent Systems
• Simple Maps with Fractal Diffusion Coefficients
• Stability and Diversity in Collective Adaptation
• Templates and subtemplates of Rössler attractors from a bifurcation diagram
• Decentralized identification and control of networks of coupled mobile platforms through adaptive synchronization of chaos
• Using synchronism of chaos for adaptive learning of network topology