The Butterfly Effect _ButterflyEffect_

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					The Butterfly Effect (ButterflyEffect)
The Butterfly Effect (Butterfly Effect) is a dynamic system, small
changes in initial conditions can bring the whole system of long-chain-
reaction. This is a chaos.

American meteorologist Edward Lorenz (Edward Lorenz) 1963 New York
Academy of Sciences in a paper presented an analysis of this effect.
"A meteorologist mentioned, if this theory proved correct, a seagull
flapping its wings enough to forever change the weather." In
subsequent speeches and papers he used the more poetic butterfly. The
most common description of this effect is: "a butterfly wings in
Brazil pat, can lead to one month after a tornado in Texas."

The source of this statement is due to the meteorologists produced a
computer program that can simulate climate change, and use images to
represent. Finally, he found that the image is chaotic, and very like a
butterfly with open wings, and he will be the graphic image of the
"butterfly flapping its wings," explained the way, so have the
above statement.

The Butterfly Effect is usually used for weather, stock market difficult
to predict in a certain period of more complex systems. This effect shows
that the results of the development of things, extremely sensitive to
initial conditions dependence of the initial conditions of small
deviations, the results will cause a great difference.

The Butterfly Effect in the social circles to illustrate: a bad mechanism
for small, if not timely guidance, regulation, would bring great harm,
dubbed the "Tornado" or "Storm"; a good small
mechanism, as long as proper guidelines, the efforts over time will
produce a sensational effect, or "revolution."

Butterfly Effect in Chaos Theory is also often. Also known as non-linear.
The Butterfly Effect is a meteorologist Lorenz put forward in 1963. The
effect that: a South American Amazon Basin rainforest butterfly,
occasionally flapping its wings a few, may lead to Texas in two weeks
caused by a tornado. The reason is: the butterfly wings of the movement,
leading to changes in air system around, and cause a weak flow of
production, while production will rise to weak flow of air around it, or
other system to produce changes in the resulting chain of reflection
eventually lead to significant changes in other systems. This effect
shows that the results of the development of things, extremely sensitive
to initial conditions dependence of the initial conditions of small
deviations, the results will cause a great difference.

The butterfly effect is chaos theory in the concept. It is sensitive to
initial conditions of a dependency phenomenon. A slight difference
between the input amplification to the output quickly. Butterfly effect
in economic life are everywhere: China announced the missile launch, Hong
Kong and Taiwan 10 billion U.S. dollars to the U.S.. "Butterfly
Effect" also known as "billiards" effect, it is
"Chaotic system" highly sensitive visualization on initial
term, also nonlinear systems under certain conditions (called the
"critical conditions" or "threshold conditions ") the
direct cause of chaotic phenomena.

First, the origin of the butterfly effect
Butterfly effect from the 20th century American meteorologist Lorenz
found the early 60s. In "Chaos Legend" and "fractal theory
- to explore the singularity" and other books Jieyou this
description: "One day in the winter of 1961, Lorentz (E ¡¤ Lorenz)
in the Royal McBee computed on about the weather prediction calculations.
In order to predict the weather, his use of computer simulation of
Earth's atmosphere, the 13 equations. In order to investigate a long
sequence, he is gone a shortcut, do not make the computer run from
scratch, but starting from the middle. He last output directly into the
calculation of the initial value, and then he crossed the hall downstairs
for coffee. An hour later, he came back something unexpected happened, he
found a pattern of weather changes quickly ibid deviation, in short
period of time, similarity completely disappeared. Further calculations
show that subtle differences in input could quickly become a great
difference in the output. computer does not have problems, then, Lorenz
(Lorenz) finds that he found a new phenomenon: " the initial value
of the extreme instability ", namely:" Chaos ", also known
as the" butterfly effect ", a pat on butterfly wings in Brazil,
will make America a few months after a powerful tornado than the wind
also! This discovery was significant , so scientists do not understand,
several scientific journals have also disapproved of his article, that
"contrary to common sense": initial value of similar
substitution to determine the equation, the result should be similar to
fishes, how far away it can be! The reason is: butterfly wings movement,
leading to changes in air system around, and cause a weak flow of
production, while production will rise to weak flow of air around it, or
other system to produce changes in the resulting chain reaction,
eventually leading to significant changes in other systems. linear, that
proportion between the amount and quantity, a linear relationship, in
space and time on behalf of the rules and smooth movement; and non-
linear, it means not to scale, not a linear relationship , on behalf of
irregular movement and mutation. If you ask me: two eyes, visual acuity
is the eye of the times? is easy to think that twice could actually be 6
to 10 times! This is the non-linear: 1 +1 does not equal to 2. laser
generation is nonlinear! when the applied voltage is small, the laser
like ordinary light, light scattering in all directions; and when the
applied voltage reaches a certain value, will suddenly rise to a new
phenomenon: the excited atoms like to hear "Xiangyoukanqi"
command to launch the phase and direction are the same monochromatic
light, is the laser. nonlinear characteristics: cross-sectional various
professional, infiltration areas, almost can be said: "everywhere
from time to time There. "Such as: the existence of chaotic movement
of celestial objects; electrical, optical and acoustic oscillations, will
suddenly trapped chaotic; to the magnetic field at 400 million years, the
direction of mutation 16, is as chaotic. Even the man himself, the
original is nonlinear: the traditional contrary to popular belief,
healthy human EEG and heart beat are not rules, but chaos, chaos is the
vitality of the performance of the chaotic system response to external
stimuli, faster than non-chaotic system. Thus, non-linear nature is all
around us, hiding also escape the. This phenomenon is called sensitive
dependence on initial conditions. in the   weather forecast called
'butterfly effect'. ... ... ""   the first use of the Lorentz is
the seagull effect. "" Lorentz   December 29, 1979 in Washington,
AAAS lecture: 'be prophetic: a butterfly   flapping its wings in Brazil
cause a tornado in Texas, you?' "

Second, the meaning of the butterfly effect
To a little over a butterfly flapping its wings while the disturbance of
the air, after a long time he could cause to occur far away a storm, this
analogy is often a result of the long time range weather forecast a
little bit unpredictable factors tiny serious consequences. Small
deviation is inevitable, so long-term weather forecast is not predictable
or accuracy. It's like playing pool, chess and other human activities,
often "the least bit bad, lost in a thousand miles," "One
hour, lose the whole game." Long range weather forecast is for a
large complex system, the Earth's atmosphere to observe the calculation
and analysis of judgments, it is subject to earth's atmospheric
temperature, humidity, pressure changes in a number of factors at any
time and constraints to their combined effect may be difficult to
accurately forecast correct, the butterfly effect is in the inevitable.
The object of our human studies also involve other complex systems
(including "natural system" and "social system"), the
internal factors is complex cross-restricted, its "corresponding
butterfly effect" is also in the inevitable. "Today's butterfly
effect" or "generalized butterfly effect" has been limited
to the original Lorenz's butterfly effect only in terms of weather, but
everything is extremely sensitive on initial complex system synonymous or
synonymous with its meaning is: For every complex system, in a certain
"threshold conditions", its long period of time a wide range of
future acts, the values of the initial conditions are extremely sensitive
to small changes or deviations, that the slightest change or deviation of
the initial value, will result in future prospects of the huge
differences, it is often difficult to predict or say with a certain
random.

Third, the internal mechanisms produce the butterfly effect
The so-called complex systems, nonlinear system is in critical condition
and under the present chaos, or chaotic behavior of the system. Dynamic
equations of nonlinear systems with nonlinear term, it is non-linear
multi-factor cross-coupling within the system mathematical description of
the mechanism. It is this "many factors, cross-coupling
mechanism", which leads to complex system, the initial sensitivity
of the butterfly effect, which leads to complex system is chaotic
behavior. At present, nonlinear science and chaos science research in the
ascendant, this marks the phenomenon of human nature and society are the
more in-depth understanding of the complex phase of the transition and
evolution. From the pejorative point of view, often giving a butterfly
effect on the future behavior of an unpredictable crisis, but
complimentary sense point of view, the butterfly effect so that we may be
"cautious of the least bit, get the miles," which could
"control the chaos" and can be a small price in exchange for a
huge future, "Fu fruit." Butterfly effect means using a
metaphor, not to say that butterflies cause hurricanes.
December 1963, Lorenz (Lorenz) AAAS in Washington, made a speech: a
butterfly flapping its wings in Brazil are likely to be caused in the
United States, Texas, a tornado. His speech and conclusions to the people
left a profound impression. Since then, the so-called "butterfly
effect" is said to spread like wildfire, the notoriety.

"Butterfly Effect" to be fascinating, exciting, thought-
provoking, not only in its bold aesthetic imagination and charming
colors, also in its profound philosophy of science content and the
inherent charm. Chaos theory suggests that in the chaotic system, the
initial conditions of the very small changes through continuous zoom, its
future status will result in very significant difference. We can use in
the West spread of a folk song to give a description of the image.

This is the first folk song said:

Loss of a nail, a shoe bad;

Broken a shoe, a horse folded;

Folded A horse, a knight wounded;

Injury of a knight, lost a battle;

Lost a battle, death of an empire.

Horseshoe will lose a nail, this is the initial conditions of the very
small changes, but the "long-term" effect is an empire of the
fundamental difference between survival and death. This is the military
and political areas of the so-called "butterfly effect." A bit
weird, but really can cause such consequences. A wise leader must be a
preventive measure, seemingly insignificant things that there are a
number of possible collective internal fragmentation, then it not too
late? Suspension bridge across the ravine, often tied to a small stone
from a thread started.

Comment on the book of life and death: the same reason, appear to be
normal meat habit, it will lead to malignant diseases, premature death to
life, and even malfeasance, crime, war, disaster and moral destitution,
world hunger, environmental destruction, forest soil ... .... Buddhist
scriptures say: a missing person, beyond redemption. Life is very
difficult to get access to personal life than personal life did not get
the number, too small, and so the Buddha hand pocket of soil and land on
earth to do comparison. And if the loss of personal misfortune for evil
fall into the animals, hungry ghosts and hell that the three lower
realms, in order to do back to people, it is very, very difficult, the
Buddha met with a blind turtle floating holes to describe: the open sea,
one plank the middle of a hole. A blind turtle, surfaced once every
hundred years, the first just plug the holes in the wood. Little chance
of little! This is the butterfly effect it. Cherish life! Personal rare
so far completed have, so far completed Dharma unpleasant smell. This
degree of body not to this life, when would he degree of the body?
"Butterfly effect" theory of evidence means evidence of China's
1,300 years ago, "Book of Rites by the solution": ""
easy ", saying: 'begin, real gentleman, and poor if the least bit,
Miao miles.'" "Le Chi Wei Shu ":" But the gas there
is empty or full, millet has great detail, the least bit of difference,
loss of a thousand miles. "philosophical thought, from this
description is more direct than cognitive perception, the so-called
attractor is" Hunyuan field theory "in field effect element,
its "Chaos Theory" and nonlinear theory is "Hunyuan field
theory," Field Objects in the absolute count of the time independent
system.

China, "Han Fei Yu old" Formerly, Zhou Ji Zi is like chopsticks
and terror. That will not increase as the chopsticks in the soil Xing,
will rhino jade cup. As ivory chopsticks will not share Shu Lophanthus
rugosus, use a Mao like leopard tires. Mao will not tire as the leopard
suit with short brown the food in the huts under the silk clothing
Kokonoe, wide room high-profile. I fear the pawn, so terror it before.
Residence five years, Zhou was meat garden, located Bao Luo, Teng bad
Qiu, temporary liquor pool, Zhou then submitted death. Jizi see it as
chopsticks to know the world of evil, twenty years before: see little say
¡ºMing. ¡»

King Zhou of Shang Zhou Wang Shu Chi-tzu to see ivory chopsticks very
afraid, because of the ivory chopsticks, cups are replaced by fat rhino
he'll, he'll have to eat rhino ivory chopsticks and eating bean soup, eat
beef, such as meat, leopard meat, meat and other unborn child exquisite
food. Leopard eating beef as meat meat meat tires, they will not wear
short crude commoner in the hut in the meals, the United States wearing a
lot of Chinese clothing clothes, eat in the magnificent palace. Jizi fear
he perished.

A bit weird, but really can cause such consequences. A wise leader must
be a preventive measure, seemingly insignificant things that there are a
number of possible collective internal fragmentation, then it not too
late? Suspension bridge across the ravine, often tied to a small stone
from a thread started.

The reason is: the butterfly wings of the movement, leading to changes in
air system around, and cause a weak flow of production, while production
will rise to weak flow of air around it, or other system to produce
changes in the resulting chain reaction, eventually lead to significant
changes in other systems.

This effect shows that the results of the development of things,
extremely sensitive to initial conditions dependence of the initial
conditions of small deviations, the results will cause a great
difference. Such as: the existence of chaotic movement of celestial
objects; electrical, optical and acoustic oscillations, will suddenly
trapped chaotic; to the magnetic field at 400 million years, the
direction of mutation 16, is as chaotic. Even human beings themselves,
the original is nonlinear: contrary to traditional thinking, healthy
human EEG and heart beat are not rules, but chaos, chaos is the vitality
of the performance of the chaotic system response to external stimuli ,
faster than non-chaotic system.

Thus, non-linear on around us, hiding also escape the.

Scientists to chaos is defined as: chaos is deterministic system in
seemingly random irregular movement, a deterministic theory to describe
the system, its behavior was presented as a non-duplication of
uncertainty, unpredictability, and this is Chaos. Further studies show
that chaos is inherent characteristic of nonlinear dynamic systems is a
common phenomenon in nonlinear systems. Newton's deterministic theory can
perfectly handle the multi-linear systems, linear systems mostly come
from the simplification of nonlinear systems. Therefore, in real life and
practical engineering problems, chaos is everywhere. Lorenz chaos first
discovered so far, has been on the Chaos scientists, sociologists,
writers and concerned people. Of chaos, in fact, found that disorder in
the order, but today's world there remain too many unpredictable,
chaotic, this topic will certainly be all of humanity issues. Here,
because knowledge is limited, we have only done a very superficial
introduction and the introduction of the hope that more students can
enter the door to chaos in a more profound vision to look at the world.
Perhaps future research in this area can be committed.
The butterfly effect is chaos theory in the concept. It is sensitive to
initial conditions of a dependent phenomenon: a slight difference between
the input to the output side will quickly enlarge the butterfly effect in
economic life everywhere.

"Butterfly Effect" also known as "billiards" effect,
it is "Chaotic system" highly sensitive visualization on
initial term, also nonlinear systems under certain conditions (called the
"critical conditions" or "threshold conditions ") the
direct cause of chaotic phenomena.
1998 Asian financial crisis occurred and the U.S. stock market crash had
actually occurred in the way of economic operation of the "butterfly
effect"; 1998 Pacific appeared to "El Nino" phenomenon is
caused by air movement to the "butterfly effect."
"Butterfly effect" is manifested in the form of chaos. When we
further examine the phenomenon of life, neither complete cycle, but also
not purely random, they are both "locked" to the natural cycle
process (season, day and night, etc.) to one side, while maintaining the
inherently "autonomy" in nature. Chaos Theory Butterfly Effect
is a concept in the manner. It refers to a kind of sensitivity to initial
conditions dependent phenomenon: the difference between the input small
to quickly zoom to the output overwhelmingly different, like a butterfly
in Beijing today fanning wings, may trigger a series of events in the
atmosphere , resulting in a storm in a month occurred in New York.
w York.

				
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