Finding my own harmonic oscillator (differential equations assignment)
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In my intro to differential equations class, we were assigned a project from the textbook in which we are to find out own harmonic oscillator. Here are some details:
" In the text, we claim that the harmonic oscillator can be used as a simple model for many different situations. The key ingredients are a restoring force, which pushes the system back toward a rest position, and (perhaps) a damping force.
For this lab, you are to find such a system. It may be mechanical, biological, psychological, political, financial, or whatever. You will have to do some analysis on your system, so you will need to be able to obtain some data on its “motion.” You can either record the data yourself or use published data (with proper references). "
The report should include a second-order differential equation and/or a system of differential equations, as well as a direction field and/or phase plane.
I need help finding good real life examples of systems with the properties mentioned above. But mainly, I need help finding actual data from online sources that I can use for this project. And it must be something other than your classic spring-mass system.
Thank you!
ordinary-differential-equations harmonic-functions
asked Dec 4 '18 at 18:00
ns510ns510
1
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add a comment |
$begingroup$
In my intro to differential equations class, we were assigned a project from the textbook in which we are to find out own harmonic oscillator. Here are some details:
" In the text, we claim that the harmonic oscillator can be used as a simple model for many different situations. The key ingredients are a restoring force, which pushes the system back toward a rest position, and (perhaps) a damping force.
For this lab, you are to find such a system. It may be mechanical, biological, psychological, political, financial, or whatever. You will have to do some analysis on your system, so you will need to be able to obtain some data on its “motion.” You can either record the data yourself or use published data (with proper references). "
The report should include a second-order differential equation and/or a system of differential equations, as well as a direction field and/or phase plane.
I need help finding good real life examples of systems with the properties mentioned above. But mainly, I need help finding actual data from online sources that I can use for this project. And it must be something other than your classic spring-mass system.
Thank you!
ordinary-differential-equations harmonic-functions
asked Dec 4 '18 at 18:00
ns510ns510
1
$endgroup$
$begingroup$
@Moo Thank you! And yeah using circuit emulator might work, do you have any ones that you recommend?
$endgroup$
– ns510
Dec 4 '18 at 18:34
$begingroup$
Check this out. Predator-prey is amazing.
$endgroup$
– user58697
Dec 5 '18 at 0:17
add a comment |
$begingroup$
In my intro to differential equations class, we were assigned a project from the textbook in which we are to find out own harmonic oscillator. Here are some details:
" In the text, we claim that the harmonic oscillator can be used as a simple model for many different situations. The key ingredients are a restoring force, which pushes the system back toward a rest position, and (perhaps) a damping force.
For this lab, you are to find such a system. It may be mechanical, biological, psychological, political, financial, or whatever. You will have to do some analysis on your system, so you will need to be able to obtain some data on its “motion.” You can either record the data yourself or use published data (with proper references). "
The report should include a second-order differential equation and/or a system of differential equations, as well as a direction field and/or phase plane.
I need help finding good real life examples of systems with the properties mentioned above. But mainly, I need help finding actual data from online sources that I can use for this project. And it must be something other than your classic spring-mass system.
Thank you!
ordinary-differential-equations harmonic-functions
asked Dec 4 '18 at 18:00
ns510ns510
1
$endgroup$
In my intro to differential equations class, we were assigned a project from the textbook in which we are to find out own harmonic oscillator. Here are some details:
" In the text, we claim that the harmonic oscillator can be used as a simple model for many different situations. The key ingredients are a restoring force, which pushes the system back toward a rest position, and (perhaps) a damping force.
For this lab, you are to find such a system. It may be mechanical, biological, psychological, political, financial, or whatever. You will have to do some analysis on your system, so you will need to be able to obtain some data on its “motion.” You can either record the data yourself or use published data (with proper references). "
The report should include a second-order differential equation and/or a system of differential equations, as well as a direction field and/or phase plane.
I need help finding good real life examples of systems with the properties mentioned above. But mainly, I need help finding actual data from online sources that I can use for this project. And it must be something other than your classic spring-mass system.
Thank you!
ordinary-differential-equations harmonic-functions
ordinary-differential-equations harmonic-functions
asked Dec 4 '18 at 18:00
ns510ns510
1
asked Dec 4 '18 at 18:00
ns510ns510
1
asked Dec 4 '18 at 18:00
ns510ns510
1
asked Dec 4 '18 at 18:00
ns510ns510
1
asked Dec 4 '18 at 18:00
ns510ns510
1
1
$begingroup$
@Moo Thank you! And yeah using circuit emulator might work, do you have any ones that you recommend?
$endgroup$
– ns510
Dec 4 '18 at 18:34
$begingroup$
Check this out. Predator-prey is amazing.
$endgroup$
– user58697
Dec 5 '18 at 0:17
add a comment |
$begingroup$
@Moo Thank you! And yeah using circuit emulator might work, do you have any ones that you recommend?
$endgroup$
– ns510
Dec 4 '18 at 18:34
$begingroup$
Check this out. Predator-prey is amazing.
$endgroup$
– user58697
Dec 5 '18 at 0:17
$begingroup$
@Moo Thank you! And yeah using circuit emulator might work, do you have any ones that you recommend?
$endgroup$
– ns510
Dec 4 '18 at 18:34
$begingroup$
@Moo Thank you! And yeah using circuit emulator might work, do you have any ones that you recommend?
$endgroup$
– ns510
Dec 4 '18 at 18:34
$begingroup$
Check this out. Predator-prey is amazing.
$endgroup$
– user58697
Dec 5 '18 at 0:17
$begingroup$
Check this out. Predator-prey is amazing.
$endgroup$
– user58697
Dec 5 '18 at 0:17
add a comment |
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$begingroup$
@Moo Thank you! And yeah using circuit emulator might work, do you have any ones that you recommend?
$endgroup$
– ns510
Dec 4 '18 at 18:34
$begingroup$
Check this out. Predator-prey is amazing.
$endgroup$
– user58697
Dec 5 '18 at 0:17