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
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.
Supporting Institution
Engineering, Architecture and Design Faculty, Autonomous University of Baja California (UABC)
Project Number
A1-S-31628
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.
References
- Cetina-Denis, J. J., R. M. Lopéz-Gutiérrez, C. Cruz-Hernández, and A. Arellano-Delgado, 2022 Design of a chaotic trajectory generator algorithm for mobile robots. Appl. Sci. 12: 2857.
- Duman, E., M. Uysal, and A. F. Alkaya, 2012 Migrating birds optimization: a new metaheuristic approach and its performance on quadratic assignment problem. Information Sciences 217: 65– 77.
- Itoh, M. and L. O. Chua, 2007 Boids control of chaos. International Journal of Bifurcation and chaos 17: 427–444.
- Kapitaniak, T., Y. Maistrenko, and S. Popovych, 2000 Chaoshyperchaos transition. Physical Review E 62: 1972.
- Karaboga, D. et al., 2005 An idea based on honey bee swarm for numerical optimization. Technical report, Technical report-tr06, Erciyes university, engineering faculty, computer.
- Méndez-Ramírez, R., A. Arellano-Delgado, C. Cruz-Hernández, R. Martínez-Clark, et al., 2017 A new simple chaotic Lorenz-type system and its digital realization using a tft touch-screen display embedded system. Complexity 2017.
- Méndez-Ramírez, R. D., A. Arellano-Delgado, M. A. Murillo- Escobar, and C. Cruz-Hernández, 2021 A new 4d hyperchaotic system and its analog and digital implementation. Electronics 10: 1793.
- Pourpanah, F., R. Wang, C. P. Lim, X.-Z. Wang, and D. Yazdani, 2023 A review of artificial fish swarm algorithms: Recent advances and applications. Artificial Intelligence Review 56: 1867– 1903.
- Rajagopal, K., S. Vaidyanathan, A. Karthikeyan, and A. Srinivasan, 2018 Complex novel 4d memristor hyperchaotic system and its synchronization using adaptive sliding mode control. Alexandria Engineering Journal 57: 683–694.
- Reynolds, C. W., 1987 Flocks, herds and schools: A distributed behavioral model. In Proceedings of the 14th annual conference on Computer graphics and interactive techniques, pp. 25–34.
Abstract
Project Number
A1-S-31628
References
- Cetina-Denis, J. J., R. M. Lopéz-Gutiérrez, C. Cruz-Hernández, and A. Arellano-Delgado, 2022 Design of a chaotic trajectory generator algorithm for mobile robots. Appl. Sci. 12: 2857.
- Duman, E., M. Uysal, and A. F. Alkaya, 2012 Migrating birds optimization: a new metaheuristic approach and its performance on quadratic assignment problem. Information Sciences 217: 65– 77.
- Itoh, M. and L. O. Chua, 2007 Boids control of chaos. International Journal of Bifurcation and chaos 17: 427–444.
- Kapitaniak, T., Y. Maistrenko, and S. Popovych, 2000 Chaoshyperchaos transition. Physical Review E 62: 1972.
- Karaboga, D. et al., 2005 An idea based on honey bee swarm for numerical optimization. Technical report, Technical report-tr06, Erciyes university, engineering faculty, computer.
- Méndez-Ramírez, R., A. Arellano-Delgado, C. Cruz-Hernández, R. Martínez-Clark, et al., 2017 A new simple chaotic Lorenz-type system and its digital realization using a tft touch-screen display embedded system. Complexity 2017.
- Méndez-Ramírez, R. D., A. Arellano-Delgado, M. A. Murillo- Escobar, and C. Cruz-Hernández, 2021 A new 4d hyperchaotic system and its analog and digital implementation. Electronics 10: 1793.
- Pourpanah, F., R. Wang, C. P. Lim, X.-Z. Wang, and D. Yazdani, 2023 A review of artificial fish swarm algorithms: Recent advances and applications. Artificial Intelligence Review 56: 1867– 1903.
- Rajagopal, K., S. Vaidyanathan, A. Karthikeyan, and A. Srinivasan, 2018 Complex novel 4d memristor hyperchaotic system and its synchronization using adaptive sliding mode control. Alexandria Engineering Journal 57: 683–694.
- Reynolds, C. W., 1987 Flocks, herds and schools: A distributed behavioral model. In Proceedings of the 14th annual conference on Computer graphics and interactive techniques, pp. 25–34.
Details
| Primary Language | English |
|---|---|
| Subjects | Control Engineering, Mechatronics and Robotics (Other) |
| Journal Section | Research Articles |
| Authors | |
| Project Number | A1-S-31628 |
| Early Pub Date | June 19, 2024 |
| Publication Date | June 30, 2024 |
| Submission Date | October 15, 2023 |
| Acceptance Date | March 9, 2024 |
| Published in Issue | Year 2024 Volume: 6 Issue: 2 |
Chaos Theory and Applications in Applied Sciences and Engineering: An interdisciplinary journal of nonlinear science
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