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On the rotations and limit cycles of solutions to the basic system of equations

  • Grigor Barsegian EMAIL logo
Published/Copyright: August 3, 2024
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Abstract

This article discusses the rotations (windings) of solutions to the basic system of equations y = F 1 ( x , y ) and x = F 2 ( x , y ) . This allows us to return to the topic of known limit cycles from a much broader point of view, in particular, it makes it possible to describe the conditions for the existence of limit cycles.

References

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Received: 2023-12-01
Revised: 2024-03-15
Accepted: 2024-03-25
Published Online: 2024-08-03
Published in Print: 2025-02-01

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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