The Naked Scientists
Toggle navigation
Login
Register
Podcasts
The Naked Scientists
eLife
Naked Genetics
Naked Astronomy
In short
Naked Neuroscience
Ask! The Naked Scientists
Question of the Week
Archive
Video
SUBSCRIBE to our Podcasts
Articles
Science News
Features
Interviews
Answers to Science Questions
Get Naked
Donate
Do an Experiment
Science Forum
Ask a Question
About
Meet the team
Our Sponsors
Site Map
Contact us
User menu
Login
Register
Search
Home
Help
Search
Tags
Member Map
Recent Topics
Login
Register
Naked Science Forum
Non Life Sciences
Physics, Astronomy & Cosmology
Duffing Oscillators
« previous
next »
Print
Pages: [
1
]
Go Down
Duffing Oscillators
4 Replies
4047 Views
0 Tags
0 Members and 1 Guest are viewing this topic.
Mr Andrew
(OP)
Sr. Member
206
Activity:
0%
God was primitive man's attempt at Physics.
Duffing Oscillators
«
on:
05/09/2007 23:30:25 »
What exactly is a duffing oscillator? I've seen several versions and one is obviously chaotic (not sure why though...I just saw the graph) and the other is periodic. Why is the one chaotic? Help PLEASE!!! [
] [
] [
]
Logged
--Life is the greatest experiment that any person will ever conduct. It should be treated with the same scientific method as any other experiment.
syhprum
Naked Science Forum King!
5198
Activity:
0%
Thanked: 74 times
Duffing Oscillators
«
Reply #1 on:
06/09/2007 20:47:11 »
It is much to complex for me to either understand or explain but but 'Google' has quite a lot to say about Mr Duffing's ideas, it seems that a resonant system with a non linear restoring force when driven slightly off frequency behaves with low drive but becomes chaotic when overdriven.
I seem to recall seeing this happen in some equipment but cannot recall exactly which.
PS it was an early electric watch that had both a balance wheel and a Xtal.
«
Last Edit: 06/09/2007 20:48:43 by syhprum
»
Logged
Soul Surfer
Naked Science Forum King!
3389
Activity:
0%
Thanked: 8 times
keep banging the rocks together
Duffing Oscillators
«
Reply #2 on:
06/09/2007 23:37:21 »
Looking at the google references it look similar to those executibe toys where you have a magnetic pendulum swinging over several magnets that can be adjusted to attract it or repel it. if you group the magnets quite close together and start the pendulum swinging vigorously initially it will look like it is swinging quite normally because the energy in the swing is much larger than the affects of the magnetic forces but as the swing dies down the forces exerted by the magnets get more significant and the pendulum starts to swing around wildly with divverent frequencies.
Logged
Learn, create, test and tell
evolution rules in all things
God says so!
Mr Andrew
(OP)
Sr. Member
206
Activity:
0%
God was primitive man's attempt at Physics.
Duffing Oscillators
«
Reply #3 on:
07/09/2007 11:50:44 »
That description is one of the two I've heard...the other one is of a metal bar vibrating by being attracted to an electromagnet and then repelled--but that is not chaotic. Why is the first chaotic? I can't seem to reason it out.
Logged
--Life is the greatest experiment that any person will ever conduct. It should be treated with the same scientific method as any other experiment.
Soul Surfer
Naked Science Forum King!
3389
Activity:
0%
Thanked: 8 times
keep banging the rocks together
Duffing Oscillators
«
Reply #4 on:
07/09/2007 22:11:58 »
There are several attractors and/or repellers this means that there are several saddle points in the system where it is possible for the direction of the swing to be very finely balanced against two possibilities with entirely differen outcomes. If you watched one of thesr pendulums swinging you would bein very little doubt about its chaotic and unpredictable pattern I have one on my desk at the moment.
Logged
Learn, create, test and tell
evolution rules in all things
God says so!
Print
Pages: [
1
]
Go Up
« previous
next »
Tags:
There was an error while thanking
Thanking...