# American Institute of Mathematical Sciences

December  2016, 36(12): 7021-7028. doi: 10.3934/dcds.2016105

## Geometric Lorenz flows with historic behavior

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

Received  December 2015 Revised  August 2016 Published  October 2016

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.
Citation: Shin Kiriki, Ming-Chia Li, Teruhiko Soma. Geometric Lorenz flows with historic behavior. Discrete & Continuous Dynamical Systems - A, 2016, 36 (12) : 7021-7028. doi: 10.3934/dcds.2016105
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