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Technique Narrative
543
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312
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1-010-AtmosphericCO2Bifurcation-TechniqueNarrative
Students are introduced to the concept of a bifurcation in a first-order ordinary differential equation (ODE) through a modeling scenario involving atmospheric carbon dioxide whish is taken as a parameter and temperature is a function of time.
carbon dioxide
Surface Atmosphere Exchange
bifurcation
fold bifurcation
saddle node
Modeling Scenario
217
views
303
downloads
0
comments
5-015-RunnersSynchronize-ModelingScenario
In this modeling scenario we practice finding and classifying equilibria of a one-variable differential equation. We do this in the context of a phase model which is often a simpler way of studying oscillatory phenomena.
predator
Autonomous equations
oscillation
coupled oscillator
synchrony
runner
prey
Kuramato model
Modeling Scenario
268
views
554
downloads
0
comments
6-065-InternetPlatformUsers-ModelingScenario
A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical system.
dynamics
flow
conserved
fixed points
cyclet
internet platform
diverghence
Jacobian
attracting
repelling
nodes
stable
saddle
spiral
Potential Scenario
148
views
54
downloads
0
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2009-James_May-Nonlinear vibration control of long flexible structures
An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order modes where vibration impedance was shown to be...
vibration
damping
tuned mass damper
viscous
nodal
model damping
flexible structure
energy transfer
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