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Aggregation of an Autonomous System with an Attracting Cycle

  • NONLINEAR SYSTEMS
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Abstract

We consider a set of autonomous systems in each of which a case that is nondegenerate for a periodic solution is realized. The problem of aggregating these systems into a model containing related subsystems is solved so as to construct a system with an attracting cycle. Aggregation methods are proposed, weak coupling controls are found, and adjusted systems are constructed.

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Funding

This work was financially supported in part by the Russian Foundation for Basic Research, project no. 19-01-00146.

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Correspondence to V. N. Tkhai.

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Translated by V. Potapchouck

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Tkhai, V.N. Aggregation of an Autonomous System with an Attracting Cycle. Autom Remote Control 83, 332–342 (2022). https://doi.org/10.1134/S0005117922030031

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  • DOI: https://doi.org/10.1134/S0005117922030031

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