Electron. J. Differential Equations, Vol. 2018 (2018), No. 117, pp. 1-16.

Isochronous families of limit cycles

Romina Cobiaga, Walter Reartes

Abstract:
In this article we present a method for determining if the frequency of a family of periodic orbits remains constant when a parameter changes. Two-dimensional systems of ordinary and delayed differential equations are considered. Several examples are given.

Submitted March 30, 2017. Published May 15, 2018.
Math Subject Classifications: 34A34, 34C25
Key Words: Limit cycle; isochronous orbit; delay differential equation.

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Romina Cobiaga
Universidad Nacional del Sur
Av. Alem 1253, 8000 Bahía Blanca
Buenos Aires, Argentina
email: romina.cobiaga@uns.edu.ar
Walter Reartes
Universidad Nacional del Sur
Av. Alem 1253, 8000 Bahía Blanca
Buenos Aires, Argentina
email: walter.reartes@gmail.com

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