On the synchronization of selfexcited and hidden attractors

https://doi.org/10.58571/CNCA.AMCA.2022.084

Resumen: Many nonlinear systems have complex behaviors where selfexcited and hidden attractors exist and some times coexist. We investigate the synchronization problem for these type systems under two different coupling configurations: drive-response and bidirectional. In the first scheme, the coupling term in the response subsystem can be design as an output feedback controller to achieve synchronization; while in the latter, since the states of both systems depend on their interaction, the coupling terms are designed in terms of their differences. As observed before synchronized behavior on a hidden attractor is very difficult to achieve. In this sense our results show that for the drive-response configuration is relatively simple to impose a synchronized behavior; however, on hidden attractors the region of attraction of the synchronized solution reduces to that of the hidden attractor. Additionally, in a bidirectional configuration the region of attraction of the synchronized behavior basically disappears making the design of a static coupling considerably more difficult. We illustrate our results with numerical simulations of systems with hidden and selfexcited attractors.

¿Cómo citar?

Gonzalo, J. & Barajas-Ramírez. On the synchronization of selfexcited and hidden attractors. Memorias del Congreso Nacional de Control Automático, pp. 498-503, 2022. https://doi.org/10.58571/CNCA.AMCA.2022.084

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