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1999 (1)
1996 (1)
1Author    Hsing-Ya LiRequires cookie*
 Title    Determination of Multiple Steady States in an Active Membrane Transport Model  
 Abstract    A necessary and sufficient condition is applied to determine the possibility of multiple positive steady states in a complex, active membrane transport model with a cycle, which is performed by pump pro-teins coupled to a source of metabolic energy. A set of rate constants and two corresponding steady states are computed. Hysteresis phenomena are observed. A signature of multiplicity is derived, which can be applied in mechanism identifications if steady-state concentrations for some species are measured. The bifurcation of multiple steady states is also displayed. 
  Reference    Z. Naturforsch. 54a, 245—250 (1999); received September 11 1998 
  Published    1999 
  Keywords    Multiple Steady States, Bifurcation, Active Membrane Transport Models 
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 TEI-XML for    default:Reihe_A/54/ZNA-1999-54a-0245.pdf 
 Identifier    ZNA-1999-54a-0245 
 Volume    54 
2Author    Takashi TsuchiyaRequires cookie*
 Title    The Critical Amplitude for Bifurcation Points of the Logistic Map  
 Abstract    The phenomenon called critical slowing down is studied for some analytically tractable bifurca-tion points of the logistic map. The critical amplitude and the critical amplitude ratio are introduced to describe the critical behaviors more precisely when the critical exponents are identically unity for two critical behaviors which are to be compared. Since Hao predicted unity of the critical exponent for 1-d maps assuming exponential damping of the distance from the attractor, the assumption is checked. The result is that the shrinkage of the valid region of the assumption occurs as the adjustable parameter approaches one of the bifurcation points. 
  Reference    Z. Naturforsch. 51a, 1170—1174 (1996); received September 25 1996 
  Published    1996 
  Keywords    Bifurcation, Logistic map, Critical slowing down, Critical exponent, Critical amplitude 
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 TEI-XML for    default:Reihe_A/51/ZNA-1996-51a-1170.pdf 
 Identifier    ZNA-1996-51a-1170 
 Volume    51