A dynamical system is given by at+1 = 4 - at. Use the cobweb plot tool from the course website to sketch cobweb plots for the initial values a 1 and ao = 2. 3 1. The only equilibrium for this discrete dynamical system is a* = = 2. Based on your cobweb plots, the equilibrium for this system is Asymptotically Stable Stable Unstable Semistable A dynamical system is given by rt+1 = 1. Use the rt rt+1 cobweb plot tool on the course website to sketch cobweb plots for the initial values ro = 2 and ro = - 1/3 5 1. The only equilibrium for this discrete dynamical system is at r* -0 2. Based on your cobweb plots, the equilibrium for this system is Asymptotically Stable Stable Unstable Semistable

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A dynamical system is given by at+1 = 4 - at. Use the
cobweb plot tool from the course website to sketch
cobweb plots for the initial values a 1 and ao = 2.
3
1. The only equilibrium for this discrete dynamical
system is a*
=
=
2. Based on your cobweb plots, the equilibrium for
this system is
Asymptotically Stable
Stable
Unstable
Semistable
Transcribed Image Text:A dynamical system is given by at+1 = 4 - at. Use the cobweb plot tool from the course website to sketch cobweb plots for the initial values a 1 and ao = 2. 3 1. The only equilibrium for this discrete dynamical system is a* = = 2. Based on your cobweb plots, the equilibrium for this system is Asymptotically Stable Stable Unstable Semistable
A dynamical system is given by rt+1 =
1. Use the
rt
rt+1
cobweb plot tool on the course website to sketch
cobweb plots for the initial values ro = 2 and ro = - 1/3
5
1. The only equilibrium for this discrete dynamical
system is at r*
-0
2. Based on your cobweb plots, the equilibrium for
this system is
Asymptotically Stable
Stable
Unstable
Semistable
Transcribed Image Text:A dynamical system is given by rt+1 = 1. Use the rt rt+1 cobweb plot tool on the course website to sketch cobweb plots for the initial values ro = 2 and ro = - 1/3 5 1. The only equilibrium for this discrete dynamical system is at r* -0 2. Based on your cobweb plots, the equilibrium for this system is Asymptotically Stable Stable Unstable Semistable
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