Impact of socio-economic drivers on environmental complexity through chaotic synchronization

Ayub Khan; Pardeep kumar; Tripti Anand; Ajeet Singh; Dhanpal  Singh

doi:10.5269/bspm.78393

Ayub Khan Basic Sciences Research centre, Imam Mohammad Bin Saud Islamic University, Kingdom of Saudi Arabia.
Pardeep kumar Department of Mathematics , Indraprastha College For Women, University of Delhi, India https://orcid.org/0000-0002-9416-1723
Tripti Anand Shyama Prasad Mukherji College for Women, University of Delhi
Ajeet Singh Department of Mathematics , Hansraj College , University of Delhi, India
Dhanpal Singh https://orcid.org/0000-0003-4793-8250

Résumé

In the field of environmental research, investigating the complexity of interactions between environmental systems and socio-economic drivers, such as financial market fluctuations, requires a variety of sophisticated scientific methodologies. This study aimed to examine the synchronization and anti-synchronization phenomena between two distinct dissipative systems using an active control method, which will offer a prospect in modelling complex environmental interactions. The first chaotic system, introduced by Huang and Li (1993), and the second system, proposed by P. Kumar and S. Jha (2022), are analyzed in depth. By employing phase portraits and Poincaré sections across a range of parameters and initial conditions, we confirm the chaotic nature of both systems. Subsequently, a set of active control laws is designed and implemented to control the intended dynamical phenomena. To validate the theoretical results, comprehensive numerical simulations are conducted, which highlight the effectiveness of the proposed control scheme. This research highlights the relevance of coordination strategies of dissipative systems and managing the complexity inherent in environmental systems influenced by socio-economic dynamics.

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