Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 

 

A quadratic system with a nonmonotonic period function


Authors: Carmen Chicone and Freddy Dumortier
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58F22, 34C25

Retrieve articles in all journals with MSC: 58F22, 34C25


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0929007-7
Article copyright: © Copyright 1988 American Mathematical Society