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We consider a third-order differential system generalizing a system that describes amathematical model of the phase lock-in phenomenon. Sufficient conditions for the existence of asaddle cycle of the first kind for this system are obtained. The proof of the conditions is based onconstructing a positively invariant toroidal set using two cylindrical surfaces whose boundaries aredetermined by the limit cycles of a second-order differential system.
Differential Equations – Springer Journals
Published: Feb 1, 2022
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