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.References
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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