Non-floquet invariant tori in reversible systems

Xiaocai Wang

doi:10.3934/dcds.2018147

Article Contents

2018, Volume 38, Issue 7: 3439-3457. Doi: 10.3934/dcds.2018147

This issue Previous Article On the fundamental solution and a variational formulation for a degenerate diffusion of Kolmogorov type Next Article On well-posedness of a velocity-vorticity formulation of the stationary Navier-Stokes equations with no-slip boundary conditions

Non-floquet invariant tori in reversible systems

Xiaocai Wang

Faculty of mathematics and physics, Huaiyin Institute of Technology, Huaian, Jiangsu 223003, China

Received: July 2017

Revised: February 2018

Published: July 2018

This work is supported by National Natural Science Foundation of China (11501234).

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Abstract

In this paper we obtain a theorem about the persistence of non-floquet invariant tori of analytic reversible systems by an improved KAM iteration. This theorem can be applied to solve the persistence problem of completely hyperbolic-type degenerate invariant tori for a class of reversible system.

Keywords:

Reversible systems,
KAM iteration,
non-floquet invariant tori,
hyperbolic-type degenerate invariant tori.

Mathematics Subject Classification: Primary: 37J40; Secondary: 37E99, 47A55, 37F50.

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References

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