Geometric Lorenz flows with historic behavior

Shin  Kiriki; Ming-Chia  Li; Teruhiko Soma

doi:10.3934/dcds.2016105

Article Contents

2016, Volume 36, Issue 12: 7021-7028. Doi: 10.3934/dcds.2016105

This issue Previous Article The finite dimensional global attractor for the 3D viscous Primitive Equations Next Article On hyperbolicity in the renormalization of near-critical area-preserving maps

Geometric Lorenz flows with historic behavior

1.
Department of Mathematics, Tokai University, 4-1-1 Kitakaname, Hiratuka Kanagawa, 259-1292
2.
Department of Applied Mathematics, National Chiao Tung University, Hsinchu 30050
3.
Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji, Tokyo 192-0397

Received: November 30, 2015

Revised: July 31, 2016

Published: May 2017

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Abstract

We will show that, in the the geometric Lorenz flow, the set of initial states which give rise to orbits with historic behavior is residual in a trapping region.

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Mathematics Subject Classification: Primary: 37A05, 37C10, 37C40, 37D30.

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