Moreover, due to equivalence principle, the gravitational mass also decreases or increases according to [alpha] < or > 1 and gives a clear distinction between the expanding and collapsing process due to dynamics of dissipative system
. Note that although the gravitational force is affected by the same factor (1 - [alpha]), the hydrodynamical force is free from it.
A reduced descriptive form of slow invariant manifold is obtained from dissipative system
. This method is applicable for higher dimensions and is applied over an oxidation of CO/Pt.
Let ([OMEGA], [Z.sub.+], [sigma]) be a compactly dissipative system
and [phi] be a cocycle generated by equation (2.6).
Focusing on mathematical methods for dissipative system
complexity and mathematical biology, Vakulenko (mechanical engineering, Russian Academy of Sciences) considers the problem of the emergence of complexity in dissipative systems
and chaos, stability, and evolution for genetic networks.
This means that system (1) is dissipative system
when d < 0.
For example, in  Alabau Boussoira proved that the energy of associated coupled weakly dissipative system
decays polynomially as [t.sup.-1] and this decay rate can improve since the initial data are more regular.
The exhibition also features Charles Lee's Dissipative System
, a wall of touchable tiles that change color in response to heat--mimicking the color, humidity, and temperature changes in the exoskeleton of a Hercules beetle.
an energy dissipative system
that can assume several to many conformations, will tend too take up one, or frequently return to one, that maximizes the entropy production from the energy gradients it is dissipating--to a degree consistent with that system's survival.
The answer might be the following: the dissipative system
contains internal information which "requires" entropic self-maintenance.
It is also an inevitable fact that when the energy source of a dissipative system
is finite and nonrenewable, as with fossil fuels, the life of the systems will also be finite--when the energy source is exhausted, the system must collapse.
Contrasting insights into complexity 'Molecular' 'Network' Basis Simple underlying rules Strong and weak interactions Attractor System progresses in attractor Interactions alter attractor Apparent unpredictability Fitness Fitness landscape Network fitness Self-organization Bifurcation Evolution and emergence Dissipative system
Edge of chaos REFERENCES
in terms of serving the second Law, both rapidity of gradient dissipation and completeness of dissipation to heat are involved, but not often accomplished equally well by a single kind of dissipative system
. The First Law, or energy "conservation" principle, calls for dissipation into multiple gradients of lesser quality, which is furthered by the haste entailed by competition for gradient; second Law dissipation all the way to heat is furthered by some complication of form.