https://doi.org/10.1140/epjs/s11734-024-01168-5
Regular Article
Various dynamics of a ring of non-identical attention deficit disorder maps
1
Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
2
Centre for Computational Modelling, Chennai Institute of Technology, 600069, Chennai, Tamil Nadu, India
3
Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, India
4
Department of Electronics and Communications Engineering and University Centre for Research & Development, Chandigarh University, 140413, Mohali, Punjab, India
5
Health Technology Research Institute, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
Received:
12
November
2023
Accepted:
12
April
2024
Published online:
14
May
2024
Various regimes of a ring of non-identical attention deficit disorder (ADD) models are studied in this paper. The ADD model used in this paper can show multistability. The dynamics of the coupled maps are investigated by changing the coupling strength and parameter mismatch. In this study, a similarity function is used for the lag synchronization analysis of the coupled maps. To explore the dynamics, state space, bifurcation diagram, and largest Lyapunov exponent are analyzed. By investigating the control parameters of the map, different bifurcations, including a transition from periodic dynamics to quasiperiodic and chaotic behavior, transition from chaotic to periodic and periodic to chaotic attractors are observed. The results show exciting dynamics in the ring of non-identical ADD maps. However, proper lag synchronization is not observed in the chaotic regions; the periodic and quasiperiodic areas demonstrate an appealing lag synchronization. Furthermore, the ring of non-identical ADD maps can illustrate multistability similar to the uncoupled ADD model.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
