dynamic systems Definition and 17 Threads

Hi! I have exam in couple of weeks , and now am looking for sources to learn about dynamic systems , chaotic systems and etc. My main goal is to learn characteristics of such systems , learn about special points in dynamic plane. For the most part we used to create dynamic system simulations...

Hi, I was doing some practice problems online for dynamical systems and came across the following question about isoclines. It left me with 2 questions that I hoping to get some insight to. Question: 1. What are isoclines? (I have tried doing an internet search, but the results don't help me)...

Homework Statement:: Can someone explain the finite number of equilibria outcome of the Poincaré-Bendixson Theorem? Relevant Equations:: Poincaré-Bendixson Theorem [Mentor Note -- General question moved from the schoolwork forums to the technical math forums] Hi, I was reading notes in...

Does anyone know a good book on master-slave schemes in dynamic systems? I'm on a dynamics book covering oscillators and it kind of glances over the topic and expects me to know it. I've done previous basic dynamics books and haven't seen it in them and checking on the internet I have found very...

Homework Statement Homework EquationsThe Attempt at a Solution So I'm assuming my solution is just as valid as the one in the book, if not, can somebody explain to me why? I prefer my solution since they say that phi is a known function.

Hi guys, after hours of searching internet I couldn't find much real-life examples of second order nonlinear dynamic systems (only tons of tons of equation and system theory... got totally frustrated). They will serve as a base process for modeling controllers. So far I found propeller pendulum...

I'm fascinated by the prospect of them, but I can't seem to find much information/progress online aside from like small sensors which aren't quite the same thing. Has there been anything developed that is a self powered vibration generator? As in, it vibrates and then is powered by its own...

Homework Statement y(t) = e^{a(t-t_{0})} y(t_{0}) + \int_{t_{0}}^{t} e^{a(t-\tau)}b \dot{u} (\tau) d\tau u(t) = \delta(t) = \frac{1}{2} c^{3} t^{2} e^{-ct} where c >> |a|, t_0 = 0, and y(0) = 0 Find y(t) and represent the unit impulse, delta, in the solution. The remaining terms should not...

Just a quick question. Let A and B be two points. Electrical work is defined as the amount of energy it takes to move an amount of charge Q through a potential difference VB-VA (for our purposes here, we will assume that the voltage values are measured with respect to an Earth ground) and is...

Homework Statement Choose an even number in the interval [100,199] and compute its orbit under the proper divisor function. Homework Equations Proper Divisor Function = σ(n) = Sum of all divisors of n, excluding n The Attempt at a Solution I am unsure what it means by "compute the...

Hi everyone, it's been a while since I visited here. However, I now find myself in need of help as to how to best go about studying something related to chaos theory and dynamic systems in postgraduate school. I'm currently in my third year of physics and my first question would be what...

Hi guys, I'm a pure math master degree. Interested in studying dynamic systems, I want to learn more about this subject without any academic course.(just self study) How can I start it? Which books , articles and subjects?

There is boom crane with a bucket attached at the end. The angle of the boom "theta" is 60 degree. The weight of the bucket with a man in it is 200Kg. The mass of the boom is acting at centre of the boom (length of the boom is 10m) is 600 Kg. There is a cylinder attached to lift the boom 1m...

[SOLVED] dynamic systems I Have Just Received This Question = A Car Of Mass 1.2 Tonnes Rolls Down A Hill Which Is 600m Long And Is Inclined At An Angle Of 9 Degrees To The Horizontal. Ignoring The Effects Of Air Resistance And Friction And Assuming The Car To Start From Rest At The Top Of The...

Hi, I'm developing a feedback control system which explicitly comprises a model of the dynamic plant (inc. actuators). Any thoughts on programming methods I can use to describe the dynamic system which should provide valid results for a given input (step, ramp, impulse) in both time and...

I have really big prob., please. anyone who know how to do this i'll be very pleased. My Homewok is little problem.We work Dynamic systems and then we test that system on computer ( on Mathlab).I attached you my prob. you and I'll translete you upper text: Two equal bars AiBi length...

This lonely little Forum hasn't seen much traffic, and I suspect it's because most of you don't know exactly what the field of Systems Engineering actually entails. Given the importance of "the systems approach" to modern engineering, I think a tutorial thread is in order. The discussion...