Research

Research Interests:

• Nonlinear dynamical systems and complex systems
• Dynamics of memory and learning

Publications:

Adaptive Dynamics:

• Y. Sato and N. Ay,
  ``Adaptive Dynamics for interacting Markovian processes,''
  arxiv:nlin.AO/0611032 (2006)

• Y. Sato, E. Akiyama and J. P. Crutchfield,
  ``Stability and Diversity in Collective Adaptation,'' [pdffiles.828k]
  Physica D, 210, p21-57, (2005).
  arxiv:nlin.AO/0408039 (2004)

• Y. Sato and J. P. Crutchfield,
  ``Coupled Replicator Equations for the Dynamics of Learning in Multiagent Systems,'' [pdffile 206k]
  Phys. Rev. E, 67, p015206(R), (2003).
  arxiv:nlin.AO/0204057 (2002)

• Y. Sato, E. Akiyama and J. D. Farmer
  ``Chaos in Learning a Simple Two Person Game,'' [gzipped psfile 528k]
  Proc. Natl. Acad. Sci. USA, 99, p4748-4751, (2002).
  Santa Fe Institute Working Paper 01-09-049 (2001).

Noisy Dynamics:

• Y. Sato, D. A. Albers and I. Tsuda
  ``Stochastic Bifurcation of Noisy BZ Map''
  in preparation.

• D. A. Albers, Y. Sato, J. C. Sprott and J. P. Crutchfield,
  ``On the Number of Attractors in High Dimensional Dynamics''
  in preparation.

• T. Ohira and Y. Sato,
  ``Resonance with Noise and Delay,''
  Phys. Rev. Lett., 82, p2811-2815 (1999).

• T. Ohira, Y. Sato and J. D. Cowan, ``Resonance in a Stochastic Neuron Model with Delayed Interaction,'' NIPS, p314-320, (1999).

• Y. Sato, M. Taiji and T. Ikegami
  ``Computation with Switching Map Systems: Nonlinearity and Computational Complexity,''
  Santa Fe Institute Working Paper 01-12-083 (2001).

• Y. Sato and T. Ikegami,
  ``Computation with Switching Map Systems,'' [gzipped tarfile 1394k]
  J. UCS, 6:9, p881-894 (2000).

• Y. Sato, M. Taiji and T. Ikegami,
  ``NP-completeness of kSAT and Multifractals,'' [gzipped psfile 146k (preprint version)]
  Computer Physics Communications , 121, p51-53, (1999).

• Y. Sato, M. Taiji and T. Ikegami,
  ``Self-similar Sets as Satisfiable Boolean Expressions,'' [gzipped psfile 222k]
  Proc. of ``Unconventional Models of Computation,'' p352-370, Springer-Verlag (1998).

Misc:

• C. Tsallis, M. Gell-Mann and Y. Sato,
  ``Asymptotically scale-invariant occupancy of phase space makes the entropy Sq extensive,''
  Proc. Natl. Acad. Sci. USA, 102, p15377-15382, (2005).

• Y. Sato and T. Ikegami,
  ``Undecidability in the Imitation Game,''
  Minds and Machines, 14:2, p133, (2004).