Synchronization-based symmetric circular formations of mobile agents and the generation of chaotic trajectories

Author(s)

Freitas, Vander L. S. ^[1] ; Yanchuk, Serhiy ^[2] ; Zaks, Michael ^[3] ; Macau, Elbert E. N. ^{[4, 5]}

Affiliation

^[1] Univ Fed Ouro Preto, Dept Comp, 122 Rua Diogo de Vasconcelos, BR-35400000 Ouro Preto - Brazil

^[2] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin - Germany

^[3] Humboldt Univ, Inst Phys, Newtonstr 15, D-12489 Berlin - Germany

^[4] Natl Inst Space Res, 1758 Av Astronautas, BR-12227010 Sao Jose Dos Campos - Brazil

^[5] Univ Fed Sao Paulo, 1201 Cesare Mansueto Giulio Lattes, Sao Jose Dos Campos - Brazil

• Document type: Journal article
• Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 94, MAR 2021.
• Web of Science Citations: 2

Abstract

The self-organization of multiple autonomous mobile agents is a trending topic nowadays with applications in robotics, aerospace engineering, and satellite formations. We investigate a model of particles with coupled-oscillators dynamics focusing on the particular case of agents grouping in symmetric clusters while moving in concentric circular trajectories. Our results reveal that certain regions of the parameter space are more suitable for the onset of such clusters. Additionally, we study the effects of adding and removing agents from already formed clusters, prescribe a strategy to properly switch from one formation to another, and finally introduce an approach to obtain chaotic almost-circular trajectories and symmetric clusters with non-overlapping particles. (C) 2020 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 17/24224-6 - Isochronous synchronization with propagation delay and the control of autonomous vehicles in formation movement
• Grantee: Vander Luis de Souza Freitas
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• FAPESP's process: 17/04552-9 - Synchronization and control of network of chaotic oscillator with applications to the control of mobile autonomous vehicles in formation movement
• Grantee: Vander Luis de Souza Freitas
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 15/50122-0 - Dynamic phenomena in complex networks: basics and applications
• Grantee: Elbert Einstein Nehrer Macau
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 18/01722-3 - Semi-supervised learning via complex networks: network construction, selection and propagation of labels and applications
• Grantee: Lilian Berton
• Support Opportunities: Regular Research Grants