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Extended standard map with spatio-temporal asymmetry

Taksu Cheon Pavel Exner Petr eba

TBD mathscidoc:1910.43140

Journal of the Physical Society of Japan, 72, (5), 1087-1091, 2003.5
We analyze the transport properties of a set of symmetry-breaking extensions of the ChirikovTaylor Map. The spatial and temporal asymmetries result in the loss of periodicity in momentum direction in the phase space dynamics, enabling the asymmetric diffusion which is the origin of the unidirectional motion. The simplicity of the model makes the calculation of the global dynamical properties of the system feasible both in phase space and in controlling-parameter space. We present the results of numerical experiments which show the intricate dependence of the asymmetric diffusion to the controlling parameters.
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@inproceedings{taksu2003extended,
  title={Extended standard map with spatio-temporal asymmetry},
  author={Taksu Cheon, Pavel Exner, and Petr eba},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131203406359669},
  booktitle={Journal of the Physical Society of Japan},
  volume={72},
  number={5},
  pages={1087-1091},
  year={2003},
}
Taksu Cheon, Pavel Exner, and Petr eba. Extended standard map with spatio-temporal asymmetry. 2003. Vol. 72. In Journal of the Physical Society of Japan. pp.1087-1091. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020131203406359669.
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