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Kazuko TERADA Shuji YOSHIZAWA Chiaki NISHIMURA
A muscle membrane model (the same form as the Hodgkin-Huxley (H-H) equations for the squid axon) at low chloride conductance is shown to have a stable periodic solution, a stable equilibrium point and two unstable equilibrium points simultaneously. This structure does not appear in the H-H equations.
Kazuko TERADA Shuji YOSHIZAWA Chiaki NISHIMURA
Bifurcations of the periodic solutions of the space-clamped Hodgkin-Huxley equations for the muscle membrane are studied regarding the chloride conductance as a parameter. A limit cycle appears at a Hopf bifurcation and disappears at a homoclinic orbit. With high sodium permeability, a subcritical period doubling bifurcation occurs before it disappears.
Kazuyuki HIRAOKA Masashi HAMAHIRA Ken-ichi HIDAI Hiroshi MIZOGUCHI Taketoshi MISHIMA Shuji YOSHIZAWA
Linear discriminant analysis (LDA) is a basic tool of pattern recognition, and it is used in extensive fields, e.g. face identification. However, LDA is poor at adaptability since it is a batch type algorithm. To overcome this, new algorithms of online LDA are proposed in the present paper. In face identification task, it is experimentally shown that the new algorithms are about two times faster than the previously proposed algorithm in terms of the number of required examples, while the previous algorithm attains better final performance than the new algorithms after sufficient steps of learning. The meaning of new algorithms are also discussed theoretically, and they are suggested to be corresponding to combination of PCA and Mahalanobis distance.