Flocking Behavior of Boids Driven by Hyperchaotic MACM System

Abstract

In the present work a detailed study is presented, on the design, programming, and investigation of the behavior of flocking (Movement type flock), through the model of BOIDS, for its acronym in English "Bird Oid Object" (Object type bird), which was devised by Craig Reynolds in 1986. This complex flocking behavior that occurs arises from the interaction of simple local rules, in which complexity and sensitivity to initial conditions are present. A measure of chaotic compound will be introduced to the algorithm by means of a new four-dimensional autonomous hyperchaotic system based on the 3D Méndez-Arellano-Cruz-Martínez (MACM) system. The measures proposed herein, therefore, may have the potential to predict, control, and exemplify the behavior of group intelligence study systems that occur in nature, allowing the implementation of these systems in groups of robots through the implementation of hyperchaotic trajectories in the future, to obtain greater speed and efficiency, obstacle and collisions avoidance in their flights.

Keywords

• Flocking behavior
• Boids
• Hyperchaotic
• MACM system

Supporting Institution

Engineering, Architecture and Design Faculty, Autonomous University of Baja California (UABC)

Project Number

A1-S-31628

Ethical Statement

Hereby, I Cesar Cruz Hernández consciously assure that for the manuscript “Flocking behavior of boids driven by hyperchaotic MACM system” the following is fulfilled: 1) This material is the authors' own original work, which has not been previously published elsewhere. 2) The paper is not currently being considered for publication elsewhere. 3) The paper reflects the authors' own research and analysis in a truthful and complete manner. 4) The paper properly credits the meaningful contributions of co-authors and co-researchers. 5) The results are appropriately placed in the context of prior and existing research. 6) All sources used are properly disclosed (correct citation). Literally copying of text must be indicated as such by using quotation marks and giving proper reference. 7) All authors have been personally and actively involved in substantial work leading to the paper and will take public responsibility for its content. I agree with the above statements and declare that this submission follows the policies of Chaos Theory and Applications as outlined in the Guide for Authors and in the Ethical Statement.

Thanks

This work was supported by the CONAHCYT Research Project "Synchronization of complex systems and its applications" under grant number A1-S-31628. In memory of Cornelio Posadas.

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