https://doi.org/10.1140/epjs/s11734-025-02097-7
Regular Article
Control strategy for generalized synchrony in coupled dynamical systems
1
Department of Geography & Anthropology, Louisiana State University, 70803, Baton Rouge, LA, USA
2
Centre for Artificial Intelligence, Easwari Engineering College, 600089, Chennai, Tamil Nadu, India
3
Raphe mPhibr Pvt. Ltd., 201305, Noida, Uttar Pradesh, India
4
Department of Applied Mathematics, University of Waterloo, N2L 3G1, Waterloo, ON, Canada
5
Department of Physical Sciences, Indian Institute of Science Education and Research, 760003, Berhampur, Odisha, India
Received:
20
August
2025
Accepted:
8
December
2025
Published online:
18
December
2025
Dynamical systems can be coupled in a manner that is designed to drive the resulting dynamics onto a specified lower dimensional submanifold in the phase space of the combined system. On the submanifold, the variables of the two systems have a well-specified functional relationship. This process can be viewed as a control technique that ensures generalized synchronization. Depending on the nature of the dynamical systems and the specified submanifold, different coupling functions can be derived to achieve a desired control objective. We discuss a circuit implementation of this strategy for coupled chaotic Lorenz oscillators, as well as a demonstration of the methodology for designing coordinated motion (swarming) in a set of autonomous drones.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epjs/s11734-025-02097-7.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
