Homework 6 solution; cfw_L
8.1.1) 'n SySHthS fixed Poif Cd
1r
Xizi/m ad y:o
The 30 Cobian matrix is:
A: "2X 0
O "i I
This has exgenwlues ,\=-Z>( -|. So,
Jche stable Fixed point ocwm a]: xtf/j'
3'1an )l: 9H we; see Hood AIAO as
Arr->0.
3.1.3) This SySJCE
Homework H Soluciong [L
W
6.2.1) No. SoluHoS QPPQDQCh QWXEClpofnt
arbiicmriy dosdy buc do not reach Nu cfw_m
FiicQ time. Thug the quedrories do not
Jmle intersect
92.7.) a) )tshould be dear that mm) W
and (wk 'X1 (l-X1*\/2)\/ are continuous
Omd Jchew Part
Ham
ewoc 13' :gWO'S
LL
i].b) \[J " ~
g a \I x CO e and v
Y ._. I C-OSG -Y 6 3m 9
:1:
r_\/6
: )(\*I1>-y
37.1.35) 0 r " g
) WJcG he syskemd
X=\ (~- cfw_5:
/ Y*"0\/(X1+y1\>*X Weonw xed pomk cfw_S (xix/1"): (010). L71
=5 Unstcde Spifcd W O4Q7)
Unstu
Homework 2 omtioS \L
51-30 We have:
F>O So HIQIQ IS CI HUIIISCFILICQI \>I$vrcq0n
CIJc r 1| The bI$UrCQEWO CIagmm
\OOLG \Ike Subshtung Mt?) E : VIP-5), we 9W,
E( 1-452)
. E(1+>) . A,
E;%(\+)\E7~t M4
my?!Z b) Solvmg E :0, We $00! the
Quad Points
HomewOrlL 3 SOWHWW L
For skqbiliby/we, have We): I+ZcoSQ
50 1F (9): *Zsin e.
\E 36 M50 accepible to do thIS mPhlCQHY
T745 93VQS the Phoe PorJUFCHht: I, '2
Mil) Ina/Namely the bells mu ring L
atthe next Eme/whmh B a common
multiPlQ. 0g 5 and L4. The IQQSJC