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Phase space

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• I m interested in what is meant by the term phase space. I mugged my nephew and stole his physics textbook, and I find that a phase space diagram usually plots
Message 1 of 6 , Feb 1, 2006
I'm interested in what is meant by the term phase space.

I mugged my nephew and stole his physics textbook, and I find that a phase
space diagram usually plots position(x) against velocity(y).

In the case of an undamped pendulum this gives an ellipse.

Mark Tilden spoke of the phase space of a nervous net, as did Tom Jenner
with regard to his control circuits.

What variables would be being plotted in a diagram of the phase space of a
robotic control system?

(I know M.T. ain't gonna answer, but I'd be interested in hearing from Tom, or
anyone else who feels as though they can shed some light on this subject!)

Jo C
• Hello Jo, ... Phase space shows the evolution of the system using two variables over time. A while back, Tom Jenner suggested Chaos Theory Tamed, and this book
Message 2 of 6 , Feb 1, 2006
Hello Jo,

> I'm interested in what is meant by the term phase space.

Phase space shows the evolution of the system using two variables over
time. A while back, Tom Jenner suggested Chaos Theory Tamed, and this
book really gives a good description of and a few methods for creating
phase diagrams.

> What variables would be being plotted in a diagram of the phase
> space of a robotic control system?

Brossl Hasslacher likely used several sets of variables. We know of
two. The first was the active neuron time. The second set included the
step taken and power supply voltage.

One of my back-burner projects is to use the inverted pendulumn walker
model to analyze a Beam walker and plot a phase diagram of the motion
on different surfaces (e.g. carpet versus smooth floors).

J Wolfgang Goerlich
• Thanks for the reply, Wolfgang. I ll check out the book. Your backburner must be as big as mine! Cheers Jo C
Message 3 of 6 , Feb 2, 2006
Thanks for the reply, Wolfgang. I'll check out the
book.

Your backburner must be as big as mine!

Cheers

Jo C

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• I use the term phase space also in a less formal sense as a measure of the number of possible definable states, levels or dynamic regimes that a system can be
Message 4 of 6 , Feb 2, 2006
I use the term phase space also in a less formal sense as a
measure of the number of possible definable states, levels
or dynamic regimes that a system can be in.

wilf

> Thanks for the reply, Wolfgang. I'll check out the
> book.
>
> Your backburner must be as big as mine!
>
> Cheers
>
> Jo C
>
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• Thanks Wilf. I get the impression that this is the sense in which it is often used in the discussions I have read. I need to do a bit more reading on this and
Message 5 of 6 , Feb 3, 2006
Thanks Wilf. I get the impression that this is the
sense in which it is often used in the discussions I
have read. I need to do a bit more reading on this and
other related matters. (Oh, my poor head!)

Jo

--- wrigter <wrigter@...> wrote:

I use the term phase space also in a less formal sense
as a
measure of the number of possible definable states,
levels
or dynamic regimes that a system can be in.

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• Thanks Wilf. I get the impression that this is the sense in which it is often used in the discussions I have read. I need to do a bit more reading on this and
Message 6 of 6 , Feb 3, 2006
Thanks Wilf. I get the impression that this is the
sense in which it is often used in the discussions I
have read. I need to do a bit more reading on this and
other related matters. (Oh, my poor head!)

Jo

--- wrigter <wrigter@...> wrote:

I use the term phase space also in a less formal sense
as a
measure of the number of possible definable states,
levels
or dynamic regimes that a system can be in.

____________________________________________________
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