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written by Michael C. Wittmann and Bradley S. Ambrose
supported by the National Science Foundation
This set of tutorial materials explores to use of phase-space diagrams to analyze oscillatory systems. Students develop qualitative and semi-quantitative phase-space diagrams for oscillators using energy considerations. Damped and non-linear oscillators are considered. This material includes tutorials, assessments, example homework, and instructor notes.

This is part of a large collection of similar tutorial materials in intermediate classical mechanics.
Subjects Levels Resource Types
Mathematical Tools
- Non-linear Equations
Oscillations & Waves
- Oscillations
= Damped Oscillators
= Non-Linear Systems
= Simple Harmonic Motion
- Upper Undergraduate
- Instructional Material
= Activity
= Lesson/Lesson Plan
= Tutorial
Intended Users Formats Ratings
- Educators
- Learners
- application/pdf
- application/ms-word
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Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 license. Additional information is available.
Rights Holder:
Bradley Ambrose and Michael Wittmann
NSF Numbers:
0441426
0442388
Keywords:
axis crossings, damped oscillators, phase space plots
Record Cloner:
Metadata instance created June 23, 2015 by Bruce Mason
Record Updated:
June 23, 2015 by Bruce Mason
Last Update
when Cataloged:
July 1, 2007
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
M. Wittmann and B. Ambrose, (2005), WWW Document, (http://faculty.gvsu.edu/ambroseb/research/IMT-Osc3PhsSpc.html).
AJP/PRST-PER
M. Wittmann and B. Ambrose, Intermediate Mechanics Tutorials: Phase Space Diagrams, (2005), <http://faculty.gvsu.edu/ambroseb/research/IMT-Osc3PhsSpc.html>.
APA Format
Wittmann, M., & Ambrose, B. (2007, July 1). Intermediate Mechanics Tutorials: Phase Space Diagrams. Retrieved July 23, 2019, from http://faculty.gvsu.edu/ambroseb/research/IMT-Osc3PhsSpc.html
Chicago Format
Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Phase Space Diagrams. July 1, 2007. http://faculty.gvsu.edu/ambroseb/research/IMT-Osc3PhsSpc.html (accessed 23 July 2019).
MLA Format
Wittmann, Michael, and Bradley S. Ambrose. Intermediate Mechanics Tutorials: Phase Space Diagrams. 2005. 1 July 2007. National Science Foundation. 23 July 2019 <http://faculty.gvsu.edu/ambroseb/research/IMT-Osc3PhsSpc.html>.
BibTeX Export Format
@misc{ Author = "Michael Wittmann and Bradley S. Ambrose", Title = {Intermediate Mechanics Tutorials: Phase Space Diagrams}, Volume = {2019}, Number = {23 July 2019}, Month = {July 1, 2007}, Year = {2005} }
Refer Export Format

%A Michael Wittmann
%A Bradley S. Ambrose
%T Intermediate Mechanics Tutorials: Phase Space Diagrams
%D July 1, 2007
%U http://faculty.gvsu.edu/ambroseb/research/IMT-Osc3PhsSpc.html
%O application/pdf

EndNote Export Format

%0 Electronic Source
%A Wittmann, Michael
%A Ambrose, Bradley S.
%D July 1, 2007
%T Intermediate Mechanics Tutorials: Phase Space Diagrams
%V 2019
%N 23 July 2019
%8 July 1, 2007
%9 application/pdf
%U http://faculty.gvsu.edu/ambroseb/research/IMT-Osc3PhsSpc.html


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