K. Kaneko's papers on Dynamical Systems Studies towards Cognition


 

3.1 Function Dynamics

N. Kataoka and K. Kaneko " Dynamical Networks in Function Dynamics" Physica D 181 (2003) 235-251 (pdf file )

Naoto Kataoka and Kunihiko Kaneko "Functional Dynamics I : Articulation Process", Physica D 138 (2000) 225-250 (pdf file )

Naoto Kataoka and Kunihiko Kaneko "Functional Dynamics II: Syntactic structure", submitted to Phsyica D 149 (2001) 174-196 (pdf file )

Y. Takahashi, N. Kataoka, K. Kaneko, and T. Namiki" Function Dynamics" Jap J. Appl. Math., 18 (2001) 405-423 (pdf file)

Naoto Kataoka, Kunihiko Kaneko, "Natural language from functional dynamics", Biosystems 57 (2000) 1-11 (pdf file )


 

3.2 Magic Number 7

S. Ishihara and K. Kaneko"Magic number 7 $\pm$ 2 in networks of threshold dynamics" Phys. Rev. Lett., 94(2005) 058102 PDF

K. Kaneko " Dominance of Minlnor attractors in Globally Coupled Dynamical Systems with more than 7 +- 2 degrees of freedom (retitled from `Magic Number 7 +- 2 in Globally Coupled Dynamical Systems') " Phys. Rev. E.66, 055201(R) 2002 (pdf file )


 

3.3 Dynamical Systems Game Theory

E. Akiyama and K. Kaneko, "Evolution of Cooperation, Differentiation, Complexity, and Diversity in an Iterated Three-person Game", Artificial Life 2(3): 293-304 (1995) (pdf file )

Eizo Akiyama, Kunihiko Kaneko, "Dynamical Systems Game Theory and Dynamics of Games,'' Physica D 147 (2000) 221-258 (pdf file )

E. Akiyama and K. Kaneko"Dynamical Systems Game Theory II" Phsyica D 167 (2002) 36-71 (pdf file )


 

3.4 Computation as Dinamical Systems

A. Saito and K. Kaneko, "Inaccessibility and Undecidability in Computation, Geometry and Dynamical Systems", Physica D 155 (2001) 1-33 (pdf file )





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