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Robust Computation in Two Dimensional Neural Field

  • Yuzuru Sato
  • Shun-ichi Amari
Conference paper

Abstract

In this paper, we discuss robust computation represented by collective motion of large neural dynamics. There exist stable traveling bumps and their collisions in a two dimensional neural field. By using the stable traveling bumps and their collisions, arbitrary logical operations can be constructed. The resulting computation processes in the neural field is structurally and orbitally stable and the basin measure of the dynamics of the computations is finitely positive. Thus, the computations are robust and constructive in the framework of dynamical systems theory.

Keywords

Cellular Automaton Robust Computation Dynamical System Theory Symbolic Dynamic Neural Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

Authors thank to Dr. H. Ando (Brain Science Institute, RIKEN), Dr. T. Teramoto (Chitose Institute of Science and Technology) and Prof. Y. Nishiura (Hokkaido University) for fruitful discussions. This work is supported by the visiting researchership at Laboratory for Mathematical Neuroscience at RIKEN Brain Science Institute.

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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.RIES/Department of MathematicsHokkaido UniversitySapporoJapan
  2. 2.Laboratory for Mathematical NeuroscienceRIKEN Brain Science InstituteSaitamaJapan

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