Optimized chaos control in bio-environmental systems
Ayub Khanayubkdu@gmail.comDepartment of MathematicsBasic Science Research CentreImam Mohammad lbn Saud Islamic UniversityRiyadh, 13318, Kingdom of Saudi Arabia0009-0009-5317-6855View full profile → , *Ajeet SinghCorresponding authorajeetsingh@hrc.du.ac.inDepartment of MathematicsHansraj CollegeUniversity of DelhiMalka Ganj, Delhi, 110007, India0009-0004-3319-1648View full profile → , Pardeep Kumarpardeep@ip.du.ac.inDepartment of MathematicsIndraprastha College for WomenUniversity of DelhiNew Delhi, Delhi, 110054, India0000-0002-9416-1723View full profile → , Dhanpal Singhdrdhanpal@keshav.du.ac.inDepartment of MathematicsKeshav MahavidyalayaUniversity of DelhiPitampura, Delhi, 110034, India0000-0003-4793-8250View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Dec 2025
- Published Online:
- 30 Sep 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-2423
- Pages:
- 3323–3337
Abstract
In this study, we are going to examining about microorganisms present in the environment influence the nature of populations affected by psychological disorders. For this objective, we have used two different dynamic systems where the first system is describing the dynamics of the psychologically suffering population, and the second system shows the environmental fluctuations due to the presence of microorganisms. In the Beginning, we coupled these systems through a synchronization procedure with active control. Our aim is to reduce dispersive interactions and find a way to achieve system stability. We are working on the development of a controller based on a genetic algorithm (GA) that provides adaptive tuning of synchronization parameters to improve performance in chaos management. In the final stage, we organizer large-scale numerical simulations for comparative analysis between the GA-based controller and the active control system. This results show that the GA-based controller is capable of achieving faster convergence, higher accuracy in synchronization, and achieving better resistaning response towards system disturbances. Thus, it has proven to be an effective technique for controlling chaos in such complex and dynamical environments.
Keywords
Subject Classifications
References
[1] T. Brown and P. Lee, “Applications of dynamical systems in mental health research,” Clin. Psychol. Rev., vol. 32, no. 7, pp. 567–581 (2012).
[2] K. Miller, Mathematical Modeling of Human Systems. Wiley (2014).
[3] N. B. Janson, “Non-linear dynamics of biological systems,” Contemporary Physics, vol. 53, no. 2, pp. 137–168 (2012).
[4] D. Watson and K. Naragon-Gainey, “Personality, emotions, and the emotional disorders,” Clin. Psychol. Sci., vol. 2, no. 4, pp. 422–442 (2014).
[5] S. Strogatz, “Nonlinear dynamics and chaos in applied systems,” Appl. Math. Lett., vol. 91, pp. 150–167 (2018).
[6] C. Wallis, Ceteris Paribus Laws and Psychological Explanations. Cambridge University Press (2022).
[7] R. Beck and J. Sanchez, “Ceteris paribus and experimental psychology,” Psychol. Methods, vol. 20, no. 4, pp. 455–469 (2015).
[8] C. W. Leach and F. Bou Zeineddine, “A systems view of emotion in socio-political context,” Affective Science, vol. 2, no. 4, pp. 353–362 (2021).
[9] K. Lin and H. Zhou, “Chaotic models in socio-psychological dynamics,” Chaos, vol. 26, no. 3, Art. no. 033112 (2016).
[10] E. Ott, Chaos in Dynamical Systems. Cambridge University Press (2002).
[11] L. Pecora and T. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Lett., vol. 64, no. 8, pp. 821–824 (1990).
[12] D. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley (1989).
[13] M. Mitchell, An Introduction to Genetic Algorithms. MIT Press (1998).
[14] X. Zhang, X. Wang, and Y. Cheng, “Image encryption based on a genetic algorithm and a chaotic system,” IEICE Trans., (2015).
[15] T. Kapitaniak, Chaos for Engineers: Theory, Applications, and Control, (2000).
[16] M. Hassani and M. Razzaghi, “A review of genetic algorithms in chaos synchronization,” Chaos, Solitons & Fractals, vol. 142, Art. no. 110513 (2021).
[17] J. Yang and H. Wu, “Chaotic models for mental disorder dynamics,” Cogn. Neurodyn., vol. 12, pp. 567–578 (2018).
[18] S. Gao and R. Wang, “Chaos in epidemic models and its control,” Math. Biosci., vol. 280, pp. 38–47 (2016).
[19] W. J. Freeman, “A proposed name for aperiodic brain activity: Stochastic chaos,” Neural Networks (2000).
[20] I. Stewart, Does God Play Dice? The New Mathematics of Chaos. Blackwell (1997).
[21] L. Glass, “Synchronization and chaos in physiology,” Nature, vol. 410, pp. 277–284 (2001).
[22] K. Mainzer, Thinking in Complexity: The Complex Dynamics of Matter, Mind, and Mankind. Springer (2007).
[23] F. C. Moon, Chaotic and Fractal Dynamics: An Introduction for Applied Scientists and Engineers, 2nd ed. Weinheim, Germany: Wiley-VCH, (2008).
[24] E. G. Nepomuceno and M. Perc, “Computational chaos in complex networks,” Journal of Complex Networks, vol. 8, no. 1, Art. no. cnz015 (2020), doi: 10.1093/comnet/cnz015.
[25] W. Ditto and L. Pecora, “Mastering chaos,” Sci. Am., vol. 269, no. 2, pp. 78–84 (1993).
[26] J. Sprott, Chaos and Time-Series Analysis. Oxford University Press (2003).
[27] K. Deb, Multi-Objective Optimization Using Evolutionary Algorithms. Wiley (2001).
[28] X. Yang, Nature-Inspired Optimization Algorithms. Elsevier (2014).
[29] E. Talbi, Metaheuristics: From Design to Implementation. Wiley (2009).
[30] P. Kumar and A. Singh, “Hybrid synchronization of chaotic systems using GA optimization,” Nonlinear Dyn., vol. 110, no. 2, pp. 845–860 (2022).




