Existence of Periodic Solutions of a Third-Order Nonlinear System

We consider a nonlinear autonomous third-order ODE system depending on numerical parameters and describing the motions of an energy harvester that converts residual thermal energy into electrical energy. For the correct operation of the harvester, it is necessary that this system have a periodic sol...

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Veröffentlicht in:Differential equations 2021-10, Vol.57 (10), p.1341-1357
Hauptverfasser: Fomichev, V. V., Il’in, A. V., Rogovskiy, A. I., Begishev, R. R., Mitrev, R. P., Todorov, T. S.
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Sprache:eng
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Zusammenfassung:We consider a nonlinear autonomous third-order ODE system depending on numerical parameters and describing the motions of an energy harvester that converts residual thermal energy into electrical energy. For the correct operation of the harvester, it is necessary that this system have a periodic solution; therefore, the problem is to find system parameters for which there exists such a solution. The problem is solved by the small parameter method.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266121100098