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Existence of Periodic Solutions of a Third-Order Nonlinear System

Existence of Periodic Solutions of a Third-Order Nonlinear System We consider a nonlinear autonomous third-order ODE system depending on numericalparameters and describing the motions of an energy harvester that converts residual thermalenergy into electrical energy. For the correct operation of the harvester, it is necessary that thissystem have a periodic solution; therefore, the problem is to find system parameters for whichthere exists such a solution. The problem is solved by the small parameter method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Existence of Periodic Solutions of a Third-Order Nonlinear System

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References (16)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2021
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/s0012266121100098
Publisher site
See Article on Publisher Site

Abstract

We consider a nonlinear autonomous third-order ODE system depending on numericalparameters and describing the motions of an energy harvester that converts residual thermalenergy into electrical energy. For the correct operation of the harvester, it is necessary that thissystem have a periodic solution; therefore, the problem is to find system parameters for whichthere exists such a solution. The problem is solved by the small parameter method.

Journal

Differential EquationsSpringer Journals

Published: Oct 1, 2021

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