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december 2011 On symmetric and periodic solutions of parametric weakly nonlinear ODE with time-reversal symmetries
Nataliya Dilna, Michal Fečkan
Bull. Belg. Math. Soc. Simon Stevin 18(5): 896-923 (december 2011). DOI: 10.36045/bbms/1323787175

Abstract

We show the existence of periodic and symmetric solutions of parametric weakly nonlinear ODE possessing time-reversal symmetries. Local asymptotic behaviours of these solutions are established as well. Concrete examples are presented to illustrate the general theory.

Citation

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Nataliya Dilna. Michal Fečkan. "On symmetric and periodic solutions of parametric weakly nonlinear ODE with time-reversal symmetries." Bull. Belg. Math. Soc. Simon Stevin 18 (5) 896 - 923, december 2011. https://doi.org/10.36045/bbms/1323787175

Information

Published: december 2011
First available in Project Euclid: 13 December 2011

zbMATH: 1246.34036
MathSciNet: MR2918654
Digital Object Identifier: 10.36045/bbms/1323787175

Subjects:
Primary: 34C14 , 34C15 , 34D20

Keywords: parametric equations , periodic solution , stability of solution , symmetric systems

Rights: Copyright © 2011 The Belgian Mathematical Society

Vol.18 • No. 5 • december 2011
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