Chaos Definition and 200 Threads

can someone give me some hints on studying chaos theory? like some introductory websites, good introductory texts, prerequisites for studying? edit how readable is "The Fractal Geometry of Nature" by mandlebrot?

I will talk about the quantum chaos. Quantum chaos comes from the classical chaos. unfortunately, the concept of trajectory is forbidden in quantum theory. So it is very difficult to define the quantum chaos. Now many works use lots of methods to define it, for example, Random-Matrix theory...

Hi! i just wanted to know if the famous Chaos Theory has got any direct application in Aeronautics. i've come across some information regarding this. the theory finds quite a bit of use in the study of turbulence, but then I'm unable to find some good reference material to get more relevant...

Apologies if this is the wrong forum, but I have a pair of thematically connected questions that I can't really fit anywhere else. Please move if this is better suited to the quantum physics forums. My first question being: The Poincare-Bendixon theorem states that chaos can only occur for...

Homework Statement The center of a circular billiard is harmonically oscillating in horizontal direction with the amplitude a and frequency omega. Describe the motion of elastic particle with mass m in this billiard. Use the proper phase space and Poincare map. Under what conditions...

Does anyone have a recommendation on an introductory chaos theory text? I would like a text that is either upper division undergrad, or possibly at the graduate level. Also, are there any "classics" or bibles in the field? Thanks you,

I am thinking of taking this as an elective next year (mainly because it sounds cool and I need math credits), but I have no idea of what to expect. Anyone taken a similar course before? What kind of material is covered? Is it interesting/useful?

What is the difference between nonlinearity and chaos, or is there a difference?

I recently heard that there are two main phenomenons which are discussed in statistics: chaos and randomness. What exactly is the difference between the two?

Hi, The following problem is from Halliday and Resnick's Physics, Vol. I, 1967 edition, page 379, Problem 35. It has defeated me for the last month. "A particle undergoes motion in the x-y plane. It's equation of motion is given by x = A_x cos(w_x t) y = A_y cos(w_y t) (i)If the...

According to Prof. Sir M. Berry's argument, the Quantum Mechanics transition to Classical Mechanics (when the Planck constant approaches 0) is a singular process. So there is a lot of new physics here. Let's consider the Schrodinger Equation. If the wave function at t=0 has a small error...

Does anyone have a problem with order at the edge of chaos being the explanation regarding the way the universe operates if yes then why? The reason i am asking this question has to do with a philosophical debate i am having with a group of people.

Hello learned colleagues and other deep thinkers: This question may be construed as either way too esoteric, or simply as too vague for this forum, and if deemed either of these I would agree if others find it an inappropriate topic. However... When it comes to aerospace vehicles and the...

Is kaos more fundamental than any scientific rule, is it kaos that prevents us from knowing our origin and futuer?

I often wonder how much our ancient ancestors, or at least the elite among them, knew about the origins of the universe. We tend to mock ancient accounts and call them myths. But how many of those myths may in fact be flowery, encoded or corrupted descriptions of the theories we know today...

http://news-info.wustl.edu/tips/page/normal/6845.html" (sorry for the misleading title for this thread) :confused: Is there anyone who read the article understand this.If there isn't we might consider cloning Einstien...

I have no idea how to start these two problems... 1) 2) No worries. Ill figure it out.

can someone please explain me in a layman (or even in elaborative manner) way, what is quantum chaos?

Does anyone know anything about this? http://tv.yahoo.com/news/wwn/20050912/112653720001.html I'd love to hear what people who know what they're talking about, physics-wise, have to say about this. \phi The Rev

The question i would like to raise is what exactly are the implications of chaos theory on the way science is developping? More specifically, is there any trouble in changing framesets from a deterministic view of the universe to a perhaps more chaotic or probabilistic one? If so, what changes...

Would it be too chaotic to allow for stability to arise? would it be "dead"?

please tell me if the uncertainity arising in the quantum mechanics is related to the uncertainity due to the dynamic instability and whether we can calculate the quantum uncertainity using the mathematical equations used in the dynamics

What is chaos? Hello everybody. I just wanted to know if anyone could explain to me what is chaos all about in verrrrry simple terms, because I found a book on it in the library and I wanted to know if anyone could please give me a simple introduction to what it is as I find the book quite...

Was wondering if anyone can enlighten me on what people research, when they study classical mechanics & chaos theory? Simple systems? many particle systems? do they code?

Hello I am a new member of this forum and I have very limited math knowledge. My only experience in Physics is a thirty page thesis on the question, What is Light? I am doing a follow up science fair project concerning the significance of the establishment of String theory on chaos theory. My...

in the movie "the bank" a mathematical genius predicts the exact movements of the sharemarket after years of research and attempts. he uses Fractal geometry, chaos theory, non-linear dynamics and of special interest to him was the work of mandelbrot and his work regarding fractals. He...

Is it possible to predict the Markets using Chaos Theory? (or predict anything) If you have seen the aussie movie "the bank" you willl know that's what he does Thanks

Look around you. Everyday objects, linked together. How? By mathematics. Not a simple design, but a complex wonderful array of chaos models called fractals. These "fractals" are ever changing, always on the brink of a different state. Does this sound like math? Believe it or not, all of the...

http://www.scifiscience.co.uk/index.htm From Astronuc. This gives a very brief introduction to Relativity, Chaos, and Superstring Theories, and a few other Sci-Fi Science concepts.

I recently came across Nonlinear Dynamics and Chaos by Strogatz and I'm recommending it to all my Physics/Applied Math friends. This is a great introductory book on the subject and you don't need any more Math than is taught in a basic Diff. Eq. course. I love this book 'cause a) Strogatz...

Can something like the 3 body problem be shown to be unsolvable because it exhibits chaotic motion? In other words, must all solvable equations of motion be 100 percent free of chaos? Sorry if my question isn't clear.

How many of you think the chaos theory is possible?(Or vice versa?) I believe it's foundations are correct, but the theory itself is ludicrous. Correct me if I'm wrong.

It occurred to me that people seem to be the only things that reason, or make sense of the universe to some practical end, and perhaps other life on Earth to lesser extents. So why reason? In the end after we have developed everything to develop, every technology and every form of thought, in...

Ok so if we put a lot of particles into a glass and give it a good shake, a form will come forth, whatever it is. But will that form have a greater purpose than just being a muddled blob of particles? Let me see if I can explain it. What's the difference between an ant, and a stone? The...

after posting my thread about predicting the future and getting some informatve reply, I got really interested in this. So is this like chaos theory? is that what it's called? I would definatly love to read more about the theory behind this "predicting the future" and initial conditions and...

Some of the high school students where I work have shown interest in video feedback (affine transformations) and fractal geometry. I once saw a video where some people at Georgia Tech (Georgia Institute of Technology) were doing some experimentation with video feedback. I don't know what became...

http://edition.cnn.com/2004/WORLD/meast/11/04/iraq.weapons.ap/ . Though like many impresarios his management style is a bit heavy-handed:

Nonlinear mapping tends to maintain nonlinearity the farther its trajectory from a fixed point. Is there an example of a trajectory reverting to linearity after traversing a nonlinear region? I am especially interested in local, linear special relativity transitioning to global, nonlinear...

Hi everyone, I started a project looking at chaos and randomness recently but i am having a hard time finding direction. I would really appreciate any pointers and suggestions. So far i have done the background definitions and descriptions, i have also looked at fractal geometry...

Hello, I don't see any specific forum about chaos, self-organised complexity, emergence etc Are there any particular reasons why? How is currently the status / reputation of these fields among scientists? Time ago I read that they couldn't yet deploy any actual theorems in the mathematical...

I am doing a resurch project at the moment about rouge/freak waves. It will be mainly on chaos theory as that seems to be the only logical explanation for them. I was just wondering if anyone had any ideas thoughts etc. Many thanks.

I am not too sure where to post this,and so have decided on the general category. My question is on the Chaos theory. A very basic question as I have only recently come across this subject. Am I right in assuming that: The future of a system is not predictable if the initial variables(that...

what is the chaos theory all about??

I've been thinking about the development of life on this planet as seen by the scientific community vs. biblical creationist accounts, specifically Intelligent Design or Creator theories. Upon reading the book Chaos, by James Gleick, and other books, it has become apparent to me that chaotic...

First of all, my sincere wishes of an Happy Christmas, full of joy, happiness and such feelings that make our life worthfull! I'm studying and researching about Chaos Theory, and currently I'm examining the following iterative equation: Xn+1 = c*(Xn-(Xn^3)/3) I've already managed to...

Are these two things intertwined in that they would decribe a lot of things, if not everything? Are there many examples of things that would fit in another catergory?

One thing that seems to happen when a person starts a thread asking a question, looking for insight, is that the more vaguely or poorly phrased the question, the more attractive it seems to be to potential respondants. I find that interesting. I'm wondering if anyone else finds this to be true...

can a computer (determnistic) create chaos (disorder)? if it can be done how can it be done?

Is there any correlation between these two fields? Has chaos theory been used as an explanation for quantum randomness? Did chaos theory develop out of quantum mechanics?

NYs Mayor Bloomberg quiped "...if the troops in Iraq received as much fed aid as NY, they would be conducting the war with bows and arrows." Too many states in the throes of severe economic troubles are forced to pay for much increased security without the help of federal funds that was...