The chaotic attractor was formally proposed by Ruelle and Takens in 1971 and the nonperiodic flow appearing in the dissipative system
was called the strange attractor by them .
A reduced descriptive form of slow invariant manifold is obtained from dissipative system
sigma]) be a compactly dissipative system
and [phi] be a cocycle generated by equation (2.
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.
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
Also, a complex dissipative system
can use the energy it imports to become more highly organized.
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
We can postulate a protobiotic dissipative system
that could accept the interpolation of, and takeover by, a genetic system.