A note concerning a property of symplectic matrices

Björn Gebhard

doi:10.3934/cpaa.2018101

Article Contents

2018, Volume 17, Issue 5: 2135-2137. Doi: 10.3934/cpaa.2018101

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A note concerning a property of symplectic matrices

Björn Gebhard

Mathematisches Institut, Justus-Liebig-Universität Gießen, Arndstr. 2, 35392 Gießen, Germany

Received: October 31, 2017

Revised: November 30, 2017

Published: April 2018

The author is supported by DAAD grant 57314604.

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Abstract

This note provides a counterexample to a proposition stated in [1] regarding the neighborhood of certain $4× 4$ symplectic matrices.

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Mathematics Subject Classification: Primary: 37J25.

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References

[1]	A. Boscaggin and R. Ortega, Periodic solutions of a perturbed Kepler problem in the plane: From existence to stability, J. Differ. Equ., 261.4 (2016), 2528-2551.