How are fractals related to chaos theory?
Q. It's my understanding that fractals are usually used to describe self-similar shapes. But how exactly are they related to chaos theory?
Asked by phlagme - Mon Jan 19 11:17:48 2009 - - 1 Answers - 0 Comments

A. The mathematical basis of Chaos Theory is the same as the mathematical basis of fractals. So in essence, fractals are visual representations of mathematical equations that describe physical systems in Choas Theory.
Answered by PhysicsDude - Tue Jan 20 04:03:54 2009

Does Fractals and Chaos Theories directly apply to Thermodynamics Laws?
Q. Lawws of thermodynamics Note the theory of chaos is not really a disordered system as the word seems to imply. It is a viable mathemathical wayto describe a steady state system.
Asked by goring - Thu Mar 23 07:46:27 2006 - - 1 Answers - 0 Comments

A. Well, this was one aspect of my research thesis in Physics of about 10 years ago. The big picture is quite wide, so let's focus on a particular property of classical thermodynamics that is challenged by the chaotic behavior of certain systems: the equipartition of energy. Classical thermodynamics tells us that, providing enough time, a system goes to equipartition, i.e. its energy is apportioned in equal parts along all the degrees of freedom. It is well known that the equipartition law has been disproved by quantum mechanics, but until some years ago it was believed a necessary consequence of classical mechanics. The news is that the recent studies (including my little contribution) have shown that there are certain systems for which,… [cont.]
Answered by Flavio - Thu Mar 23 11:18:51 2006

Fibonacci sequence,fractals,golden rectangle and chaos theory, how are these related to each other and nature?
Q. Fibonacci sequence,fractals,golden rectangle and chaos theory, how are these related to each other and nature?
Asked by Steamtrain Maury - Tue Aug 25 18:49:13 2009 - - 1 Answers - 0 Comments
how is the chaos theory and fractals related? :D?
Q. how is the chaos theory and fractals related? :D?
Asked by Apple - Sat May 16 22:40:16 2009 - - 1 Answers - 0 Comments

A. See the excellent article "Combining Fractals and Chaos The Intersection of Two Forms of Modern Mathematics" by Isaac M. McPhee at:
Answered by vulcanmeister - Sun May 17 05:19:39 2009

How does the chaos theory relate to fractal geometry??
Q. add examples please.. to better my understanding.
Asked by bvjbnkjb,kjvhjhv - Sun May 6 16:23:16 2007 - - 1 Answers - 0 Comments

A. While most of the motion types mentioned above give rise to very simple attractors, such as points and circle-like curves called limit cycles, chaotic motion gives rise to what are known as strange attractors, attractors that can have great detail and complexity. For instance, a simple three-dimensional model of the Lorenz weather system gives rise to the famous Lorenz attractor. The Lorenz attractor is perhaps one of the best-known chaotic system diagrams, probably because not only was it one of the first, but it is one of the most complex and as such gives rise to a very interesting pattern which looks like the wings of a butterfly. Another such attractor is the Roessler Map, which experiences period-two doubling route to chaos, like… [cont.]
Answered by robert - Mon May 7 10:40:15 2007

How is fractal geometry related to chaos theory, if at all?
Q. How is fractal geometry related to chaos theory, if at all?
Asked by ellyjay - Fri May 5 14:14:04 2006 - - 2 Answers - 0 Comments

A. I would say the only thing relatable about those two disciplines is they both are important in explaining how complex systems in our World work. Other than that, they are separate disciplines of mathematics.
Answered by phyziczteacher - Fri May 5 20:02:18 2006

What is the mechanism of the chaos in a leaking tap?
Q. It is based on Fractal Geometry.
Asked by bala - Sat Jul 15 01:44:02 2006 - - 1 Answers - 0 Comments

A. chek out this site www.howstuffworks.com maby u'll find sumthing
Answered by b s - Sat Jul 15 04:45:38 2006

What is the correct name for the 'map' described on 'The mathmatics of Chaos'?
Q. I have just watched The mathmatics of chaos on BBC 4 and towards the end the narrator described an image as something like 'Leapanon' map. The word when said sounded like Lee-ap-an-on but i've tried all the spellings i can think of, and have not come up with any hits. It was an imaged based on chaos theory work by a man of the same name (i think) and would love to know more about it as i have an interest in Chaos theory and fractals (although my limited maths doesn't allow me to delve too deep!) If any one has even the slightest clue what i'm on about, then thanks!
Asked by Jess T - Tue Oct 14 16:34:11 2008 - - 1 Answers - 0 Comments

A. I think you may mean, Lyapunov exponent. Although, I'm afraid couldn't explain it to you.
Answered by Graeme N - Tue Oct 14 16:48:41 2008

what's a fractal and whats a chaos? HELP!!!!?
Q. what's a fractal and whats a chaos? HELP!!!?
Asked by Emily M - Tue Jun 3 21:03:09 2008 - - 1 Answers - 0 Comments

A. See these:
Answered by freond1 - Wed Jun 4 00:41:33 2008

What are some easy Chaos Theory examples I can use for a advanced math project?
Q. I'm doing a project for Advanced Math 12, and have chosen The Chaos Theory as my topic. I need a demonstration to show the class, and I can't find anything to do. I can't replicate Jurassic Park (ha ha) and I'd prefer to stay away from fractals. Can anyone help? I'm doing a project for Advanced Math 12, and have chosen The Chaos Theory as my topic. I need a demonstration to show the class, something they can take part in, and I can't find anything to do. I can't replicate Jurassic Park (ha ha) and I'd prefer to stay away from fractals. Can anyone help?
Asked by The Josh - Sun Jan 11 12:24:46 2009 - - 1 Answers - 0 Comments

A. Stock market - really look at graphs inter-day and they look the same as graphs by month and by year thats why nobody can predict what it will do exactly
Answered by JimmyJo - Sun Jan 11 12:27:42 2009

why does physics seem to validate eastern mysticism is this coming full circle or wishful thinking?
Q. tao, buddhism, and hindi all have mystic philosophical views on the interpenetration of object and observer now it seems like physics is mirroring that. the more i read on fractals, paterns in chaos and quntum physics the more science is reading like a zen kone. where is this taking us philosophically and religiously?
Asked by bhaghan - Fri Dec 30 03:44:59 2005 - - 2 Answers - 1 Comments

A. you should read a book called "the dancing wu li masters" and "the tao of physics". both are very popular and address the themes you're talking about. also "the quark and the jaguar" by murray gell-mann, who came up with the "eightfold way" model of the quark, which is a nod to buddhism.
Answered by nate - Fri Dec 30 04:18:56 2005

(Jurassic Park) What evidence does Grant uncover pointing towards the dinosaur population breeding?
Q. Explain how the idea of fractals explained by Malcolm relates directly to chaos theory Explain lysine dependency with regard to protein synthesis and transcription
Asked by TheGodfather - Tue Apr 21 19:28:08 2009 - - 1 Answers - 0 Comments
Question inside about jurassic park!!!?
Q. 1.what is chaos theory??? 2.how does chaos theory affect the outcome of jurassic park??? 3.how do you understand chaos theory??? 4.cite examples of applications of chaos theory??? ex.(FRACTAL) ; ) PLS.!! ANS. THIS!!! TNX!!!
Asked by twilightter - Fri Dec 28 03:42:21 2007 - - 2 Answers - 0 Comments

A. Chaos theory describes systems where small variations in conditions produce large (and unpredictable) variations in the end result - weather systems and stockmarkets appear to be chaotic systems. In Jurassic Park, this idea is unconvincingly shoehorned into the plot to explain why the female dinosaurs are unexpectedly able to breed.
Answered by Molesworth - Fri Dec 28 04:01:02 2007

Simplification of chaotic equation?
Q. Our names are Danny Zlotnikov and Doron Levin. We have read an article named "Chaos Theory: A Brief Introduction" from In this article we found a description of a simple equation which calculates next year's population: Next year s population = R * This Year s population * ( 1- This Year s population) R is the growth rate. The biologist Robert May discovered that this function has unpredictable, chaotic and fractal like behavior, calculating the population of the coming years. But if x is the population of this year and Fn(x) is the population of the nth year after this one, we get: F1(x)=R*x*(1-x); F2(x)=R* F1(x)*(1- F1(x)); ... Fn(x) = R* Fn-1(x)*(1- Fn-1(x)) and Fn(x) is a polynomial: Fn(x) = a0+a1*x+a2*x^2+...+(an+1) *(x) [cont.]
Asked by doron l - Tue Jan 9 13:45:09 2007 - - 1 Answers - 0 Comments

A. The answer to your question is given at the website: "This phenomenon, common to chaos theory, is also known as sensitive dependence on initial conditions. Just a small change in the initial conditions can drastically change the long-term behavior of a system. Such a small amount of difference in a measurement might be considered experimental noise, background noise, or an inaccuracy of the equipment. Such things are impossible to avoid in even the most isolated lab. With a starting number of 2, the final result can be entirely different from the same system with a starting value of 2.0001. It is simply impossible to achieve this level of accuracy - just try and measure something to the nearest millionth of an inch!" The variable that… [cont.]
Answered by Bigsky_52 - Tue Jan 9 14:40:28 2007

for the mathematical R&Ser?
Q. Do you know what the Mandelbrot set is? If not you should check it out. It's a fractal. Basic knowledge of complex numbers and calculus required. Some people say that God manifests himself in mathematics here. There is another way of imaging it that makes it look like a buddha. I'm atheist and I think that this is awesome. Learning to understand this fractal can help us understand how the brain works. It's all chaos! Any spiritual insight?
Asked by lady - Thu Aug 9 13:48:42 2007 - - 6 Answers - 0 Comments

A. Yes, chaos theory goes a long way in providing sound explanations for complex, yet predictable, mechanisms.
Answered by Dirty Mullah - Thu Aug 9 13:51:37 2007

how does the chaos theory relate to fractal geometry??
Q. please give as many examples as you can to better my understanding!!
Asked by bvjbnkjb,kjvhjhv - Sun May 6 15:41:14 2007 - - 2 Answers - 0 Comments

A. Hi there - This is SUCH a cool question! I love fractals and chaos theory - I think it is very interesting. Years ago, I did part of my masters thesis on fractal dimension. I've gone to the web and found one very cool website that illustrates quite a bit about chaos & fractals. Your question is sort of like asking how is arithmetic related to algebra - they are so interrelated, it's hard to describe one without the other. Chaos theory began with fractal geometry. One of my all time favorite books about chaos and fractals is called: Chaos: Making a New Science by James Gleick. It's been around for years and is still widely read. There's also a very cool video (again made years ago, so I'm not sure it's still available)… [cont.]
Answered by seadreamer164 - Tue May 8 20:40:23 2007

What do you think of my poem?
Q. The Super Men The world is in darkness tonight The sun eclipsed in the complications of orbit The stars intrepid Complicated in the sky Faster than light in my rise I cast a sidelong glance at the red moon Hung low on the skyline Distant somewhat but bigger when so Growing greater When the horizon brushes the earth Displaced by the leap I free my form of its chain Release its earthly cover Disconnecting from the core Emptiness And I rip through the fabric of space Shifting time and reference Blasting through the complicated revolutions Deflating in suspension A quantum observer The complications of a world in fluctuation Systems fleeting and scattered Divulge the Mediterranean remnants Of a superscalar evolution Complex and virulent… [cont.]
Asked by revired - Wed Aug 19 01:22:48 2009 - - 2 Answers - 0 Comments

A. whoa. you like ROCK!!!
Answered by unknown - Wed Aug 19 01:30:35 2009

What do you think of my poem?
Q. The Super Men The world is in darkness tonight The sun eclipsed in the complications of orbit The stars intrepid Complicated in the sky Faster than light in my rise I cast a sidelong glance at the red moon Hung low on the skyline Distant somewhat but bigger when so Growing greater When the horizon brushes the earth Displaced by the leap I free my form of its chain Release its earthly cover Disconnecting from the core Emptiness And I rip through the fabric of space Shifting time and reference Entangled through the complicated revolutions Deflating in suspension A quantum observer The complications of a world in fluctuation Systems fleeting and scattered Divulge the Mediterranean remnants Of a superscalar evolution Complex and… [cont.]
Asked by revired - Tue Aug 18 10:20:07 2009 - - 4 Answers - 0 Comments

A. i think it is very dramatic and scientific, it is long yet has no excitements in it.
Answered by Brownies - Tue Aug 18 10:35:32 2009

What do you think of my poem?
Q. The Super Men The world is in darkness tonight The sun eclipsed in the complications of orbit The stars intrepid Complicated in the sky Faster than light in my rise I cast a sidelong glance at the red moon Hung low on the skyline Distant somewhat but bigger when so Growing greater When the horizon brushes the earth Displaced by the leap I free my form of its chain Release its earthly cover Disconnecting from the core Emptiness And I rip through the fabric of space Shifting time and reference Blasting through the complicated revolutions Deflating in suspension A quantum observer The complications of a world in fluctuation Systems fleeting and scattered Divulge the Mediterranean remnants Of a superscalar evolution Complex and virulent… [cont.]
Asked by revired - Wed Aug 19 01:21:56 2009 - - 4 Answers - 0 Comments

A. The word fractal can be an invitation to a search of the word, a search for a concept a future connection... We will need this kind of uses if we want to make connection between the concepts and signatures. Keep working. Still need to see the w-hole...
Answered by Just critic! - Wed Aug 19 16:44:36 2009

From Yahoo Answer Search: 'chaos and fractals'
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Belief in Change: Allow destiny to control you, rather than the ... - Examiner.com
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Chaos is an illusion masking a fractal hologram that connects at each point of material incarnation, binding us all together in an infinitely and eternally ...
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Z with time sometimes thought of as a fourth dimension Therefore in order to appreciate the inricacy of such chaotic attractors as the lorenz attractor it is very beneficial to view the trajectories three dimensionally This is three pictures of a Lorenz attractor as it is being rotated For this attractor the paramaters have the values of s = 10 b = 8 3 and r = 25 0

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If there is no random, then what am I?: Cruzer
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If there is no random, then what am I?: Cruzer

<3 Issa

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Fractal. geometry developed from Benoit Mandelbrot's study of complexity and . chaos. (. chaos. theory). Beginning in 1961, he published a series of studies on fluctuations of the stock market, the turbulent motion of fluids, the distribution ...

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