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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A quadratic system with a nonmonotonic period function
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by Carmen Chicone and Freddy Dumortier PDF
Proc. Amer. Math. Soc. 102 (1988), 706-710 Request permission

Abstract:

For a certain ${c_ * } > 1.4$ and $c \in \left ( {1.4,{c_ * }} \right )$ the quadratic system $\dot x = - y + xy,\dot y = x + 2{y^2} - c{x^2}$ has a center at the origin surrounded by a one-parameter family of periodic trajectories. We show the period is not a monotone function of the parameter.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 102 (1988), 706-710
  • MSC: Primary 58F22; Secondary 34C25
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0929007-7
  • MathSciNet review: 929007