Complex dynamic

Is there a more general behavioral classification scheme by which the intrinsic dynamical complexity of rules may be described ... 

If we define systems as being complex or chaotic by their having only small numbers of cycles with long periods, then, for most of the small size systems studied here, it is upon the intermediate topologies that the most complex dynamics takes place when compared with the behaviors on surrounding graphs, dynamical complexity appears to be inhibited by r lattices. 

Dynamic complexity - which addresses the question of how much dynamical or... 

Note that while a system s static complexity certainly influences its dynamical complexity, the two measures are clearly not equivalent. A system may be structurally rather simple (i.e. have a low static complexity), but have a complex dynamical behavior. (Think of the chaotic behavior of Feigenbaum s logistic equation, for example). 

Thermo- dynamic Depth Dynamic Complexity expressed purely ais a function of physical quantities Hard to compute in general... 

Bennett ([benn86], [benn88b], [bemi87b], [benn90c]) has recently introduced a measure of dynamic complexity he calls logical depth. The logical depth of an object O, denoted by is defined to be the execution time required by a universal... 

As discussed previously, foods display an enormous range of compositional, structural, and dynamical complexity. The structural complexity of foods can extend over distance scales ranging from subatomic to macroscopic. 

Slipping. The slipping method exploits the kinetic stability of the rotaxane. Provided the end groups of the dumbbell are of appropriate size, they are able to reversibly thread through the macrocycle at higher temperatures, but by lowering the temperature the dynamic complex becomes kinetically trapped as a rotaxane. 

Crystals lack some of the dynamic complexity of solutions, but are still a challenging subject for theoretical modeling. Long-range order and forces in crystals cause their spectrum of vibrational frequencies to appear more like a continuum than a series of discrete modes. Reduced partition function ratios for a continuous vibrational spectrum can be calculated using an integral, rather than the hnite product used in Equation (3) (Kieffer 1982),... 

Compensarion temperature, 199,271,272 for reversed-phaM chromatography, 273 for solubility of hydrocabons in water, 273 Complex exchange with displacement of hetaeron, 254 see also Dynamic complex exchange... 

The third possible mechanism, Ilia, proposed here involves a transfer of solute from the complex formed in the mobile phase to the bound hetaeron and complex formation at the surface. The corresponding equilibrium for this metathetical process, which may be called dynamic complex exchange," can be written as... 

X Peng, MT Bowser, P Britz-McKibbin, GM Bebault, JR Morris, DDY Chen. Quantitative description of analyte migration behavior based on dynamic complexation in capillary electrophoresis with one or more additives. Electrophoresis 18 706-716, 1997. 

MT Bowser, DDY Chen. Dynamic complexation of solutes in capillary electrophoresis. Electrophoresis 19 383-387, 1998. 

MT Bowser, ED Sternberg, DDY Chen. Quantitative description of migration behavior of porphyrins based on the dynamic complexation model in a non-aqueous capillary electrophoresis system. Electrophoresis 18 82—91, 1997. 

Nogueira, T., do Lago, C. L. (2007). Determination of caffeine in coffee products by dynamic complexation with 3,4-dimethoxycinnamate and separation by CZE. Electrophoresis, 28, 3570-3574. 

Clathrate hydrates discussed in Section 8.3.3 also provide exciting examples of dynamic complexes. The cages formed by hydrogen bonded water molecules in these systems are constantly decomposed and reformed, but they are stabilized by appropriate guests [58]. If the latter are too small to fill the cage they, in turn, move inside it. 

It is the dynamic complexity of the organism or ecosystem as a whole that leads to unpre-... 

At present there is considerable interest in the way in which the con-stituents of membranes are associated to form the dynamic complex entity of the cell membrane. Speculations range from the Danielli-type structure, first advanced in 1935, to structures which now place greater emphasis on the so-called hydrophobic bonding of the lipid polymethylene chains and amino acids of the membrane protein (10). Various other speculations about the associations of the membrane components are built around these two main themes. In a field of research where there are such a considerable speculation and divergence of opinion, this usually indicates a shortage of experimental information rather than variations in perspicacity. This seems to be true of our present knowledge of membrane structure. 

K. Isoo and S. Terabe, Analysis of Metal Ions by Sweeping via Dynamic Complexation and Cation-Selective Exhaustive Injection in Capillary Electrophoresis, Anal. Chem. 2003, 75, 6789. 

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