The dynamical system concept is a mathematical formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each spring in a lake.

At any given time a dynamical system has a state given by a set of real numbers (a vector) which can be represented by a point in an appropriate state space (a geometrical manifold). Small changes in the state of the system correspond to small changes in the numbers. The evolution rule of the dynamical system is a fixed rule that describes what future states follow from the current state. The rule is deterministic: for a given time interval only one future state follows from the current state.

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Fri Aug 7 08:55:52 2009

What is the general formula of a solution of a discret-time dynamical system?
Q. I know it includes the equilibrium point.. but I don't know what it is. Please help.
Asked by oops! - Fri Dec 5 18:59:25 2008 - - 1 Answers - 0 Comments

A. There is no closed form for a general semi-cascade, and there is no guarantee that there is an equilibrium point. If you are interested in a subset of systems which are known to have an equilibrium point, then you have to be more specific about which subset you are interested in.
Answered by simplicitus - Mon Dec 8 23:07:11 2008

Is a prokaryotic/eukaryotic cell a computational system?
Q. 1. Does the genetic material "program" the cell to perform certain functions? Or is it a purely dynamical chain of cause and effect? 2. Does a cell have the capacity to "represent" the external world and act accordingly? 3. Does biology reduce to physics? BTW - this is NOT my homework... This is YOUR homework! Adam! - 70% B
Asked by Methoozelah - Mon May 18 22:29:27 2009 - - 2 Answers - 0 Comments

A. I would say it is the cell has a mission the genetic material it is programed with, but external situations can have an effect. A cell can represent the external world in that it consumes and excretes and reproduces. It reacts to stimuli. * oh ,and the prokaryotic cell is more primative than the eukaryotic cell in that it is more evolved. Biology does indeed reduce to physics. I just guessed ,I only have an Associates in Science and I got that a long time ago.
Answered by mia delight - Mon May 18 23:38:02 2009

Explain in simple lang. whether english/urdu/hindi & also translate these in hindi/urdu but type in roman ....?
Q. Control theory is an interdisciplinary branch of engineering and mathematics, that deals with the behavior of dynamical systems. When one or more output variables of a system need to follow a certain reference over time, a controller manipulates the inputs to a system to obtain the desired effect on the output of the system.
Asked by Dinesh Desh - Tue Jun 16 08:04:29 2009 - - 1 Answers - 0 Comments

A. lol well.. the Control theary- is classified in the category of engineering and mathmatics, it deals with how the dynamical systems changes. a Controller can put a bunch of stuff into the system to get what he wants on the output side of the system..but only when one or more variabls of a system need to follow a certain reference over time... i'm just gonna translate this to hindi and whatever. theary- mathmatics , dynamical . .. variabls lol that's what I got.
Answered by O - Wed Jun 24 06:45:27 2009

From Yahoo Answer Search: "Dynamical system"
Wed Jul 1 15:40:52 2009