- Theory of chaos describes behaviour of dinamic systems evolution which are sensitive on starting conditions. Chaos implies nonlinearity. Nonlinear relationship are a necessary condition for chaotic systems. Existance of nonlinearity alone does not make a chaotic system. All natural processes are nonlinear. Human brain is the most chaotic system on world. Is chaos organisational form of nature?
This is a useful slant of thought. Remember though, while we see chaos in nature, we also see order of symmmetry. We see buffers of conservation (Cf. Emmy Noether, URL below). So, designers of organisations must not despair. They must seek and maintain structures of symmetry.
https://www.researchgate.net/project/The-Deeper-Stuff-The-Noether-Questions
James Gleick author of book CHAOS said: ''Chaos is the secret agent of order'' In other words, there are islands of order in the sea of chaos.
The nonlinear evolutionary dynamics of Nature reveals the excitation of Chaos, the nonlinear aperiodic structures, caused by the sensitive initial-dependency of dynamic instability amid intermixed degrees of freedom thereby making long-term prediction impossible.
P.K. Karmakar thank you for answering. Look at geometry of Nature. All that irregularities could not be describe by Euclids geometry but them possible describe more better by fractal geometry. In the Nature exsists charmony of chaos.
Hi Dear Colleagues
I'm confused!!!
We note the use of words and phrases that rhyme beautiful to mix the Chaos, on one side, with Organization, Form, Linear/Nonlinear Law, Geometry, Symmetry, Order, on the other hand !!!!!!! !
With all my respect, Isn't it a "nice" and "shy" way to reject the evidence of a Causation, Causality and Regularity in "nature" ??? !!!
What remains Chaos with Order, Geometry, Symmetry, Law, ...
as Complex, Incomprehensible or Unknown are they ???.
Sincerely, Djamel.
But, Mr Djamel Zeghida nothing is mixed with and does not give up of causality and regularity in nature. Concepts of chaos theory such as attractors, bifurcation, self-organizing, self -similarity, sensitivity in initial conditions, fractals, functioning ''at the edge of chaos'' exist in nature. I am afraid that those who have analyse systems without use theory of chaos make mistake.
I think with chaotic systems we are touching our knowledge border in classic mechanics and so for entanglement in quantum mechanics
Random mutations in nature are occurring according to the chaos theory and selection of the fittest mutants are the only one to survive. Both are essential for evolution and adaptation to new life conditions (long time ago Darwin has already told us about this theory)
Nonlinearity-based systems do not indicate that the system is primarily chaotic. Because systems can have a complexity-based basis while still functioning as a whole non-chaotic unit. The point that I want to clarify is that we do not have to understand the complexity or figure out the basis on which the systems have been built on because some basis are impossible to understand But we have to know that even complex organizations are built on and produce a significant and calculated outcome so nothing is based on arbitrary chaos but a complexity that is regarded as chaos because it is not well understood.
It depends on the perspective of the observer. If you step on an ant pile, chaos appears to erupt. But it’s not - every participant in the attack is following a very organized method to the madness. Some of the ants are stinging, some of the ants are moving eggs, some are protecting the queen, and some are moving the destruction and clearing the paths. Some are already beginning the rebuilding process.
Even in chaos there are patterns if the observer backs far enough away to see them. The stars look like a chaotic smattering of light in the skies to some. To those who know the patterns, they’re arrayed in very organized and beautiful forms.
Floodwaters rushing downstream looks pretty chaotic, right? Flotsam and trees everywhere, water spilling over the banks of the rivers. There’s order to that, too. Water always moves from higher ground to lower, in the most efficient path available at any given moment. Depending on the momentum it carries, it may take unexpected turns, but the direction inevitably will be downhill. Within that chaos, there are patterns, as well, and those patterns are very orderly. Swirls especially are present in turbulent, chaotic situations - whether it is air, water, or soil.
Even when things appear to be chaotic, there are laws of physics at work, and those laws are orderly.
Anyway, that’s my take on the concept of chaos, order, or organized chaos.
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