Chaos theory Definition and 78 Threads

Homework Statement How do I find periodic points of a given function? I'm looking at discrete cases only (iterations of the function). Homework Equations A point is defined to be a periodic point of period n if f^n(x)=x, where f^n(x) is defined recursively as f(f^n-1(x)). [If this...

Of course, the second law of thermodynamics implies that all closed systems will go from a state of state of order to disorder. Chaos theory offers the possibility of systems developing patterns and order from seemingly disordered or chaotic systems. Do these theories contradict or is there...

Hello, I've used the search button but the topic I found on it didn't quite answer my questions, so here is my go at it: (I have done one year of maths at college, to know my level in case it's important for formulating your answer) So I've started reading "The End of Certainty" by Prigogine...

So I've recently been reading up a bit on Chaos theory. It seems like a pretty cool idea (that's all I can say about it, because I don't have a true, full understanding of it) but my question is this: Is it still being studied? I'm reading CHAOS by James Gleick(basically the definition of...

Hi I'm new to this and sorry if this is not the correct place to post this. I was wondering if people still study chaos theory? (sorry if its a silly question) And if they do where chaos scientists work and what are the main things you need to study so you can study chaos theory. Thank you

I have a BS in math and to think of it Chaos theory was why I got into this field to begin with. Which educational/career path should i follow from now on?

Does the following statement make sense: The Chaos theory models systems (e.g., gases, fluids, sound, populations, whether, solar system) which particles (e.g., atoms, waves, specimens, currents, planets) shift from entropy to harmony following certain laws (e.g, thermodynamic, mass, space...

i apologize if my terminology is not correct because I am kind of new to this theology stuff. I know there is a theory, I'm not sure if it's chaos theory, that states that all things move toward disorganization or chaos rather than organization. This seems to be true in the broad sense of...

Homework Statement Consider the families of iterating functions Fλ(x) = λ(x3 - x). Fλ(x) undergoes a bifurcation at λ=1, about the fixed point x=0. Figure out what ilk of bifurcation is occurring for Fλ(x) and prove your assertion rigorously.Homework Equations My book says this about...

There has been much controversy concerning Global Warming: sun spot activity, only heat radiation at 15 microns being trapped by CO2, vast amounts of greenhouse gases going intot he atmosphere from exploding volcanos and the general cyclical nature of climate change have attempted to explain the...

Hello there I have to write an interdisciplinary project at school, in mathematics and physics, where I have to go beyond what is covered in the syllabus for mathematics. I have chosen the subject of chaos theory. Can you recommend any good introductions, on this subject? And would I need...

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?

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...

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,

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...

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...

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...

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...

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

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.

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...

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??

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...

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?