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# 2 (6 points). Consider the Hamiltonian system 2y, 162 4x3 _Find the equilibrium points and test their stability by Jacobian matrix approach: Find the Hamiltonian fu...

## Question

###### 2 (6 points). Consider the Hamiltonian system 2y, 162 4x3 _Find the equilibrium points and test their stability by Jacobian matrix approach: Find the Hamiltonian function and use it to sketch the phase portrait. Describe the curves that contain Homo-clinic orbits.

2 (6 points). Consider the Hamiltonian system 2y, 162 4x3 _ Find the equilibrium points and test their stability by Jacobian matrix approach: Find the Hamiltonian function and use it to sketch the phase portrait. Describe the curves that contain Homo-clinic orbits.  #### Similar Solved Questions

##### The Find the point) answer exact above ength of the NOT curve 1Arc length1336330.867262 3 1<*<3.
The Find the point) answer exact above ength of the NOT curve 1 Arc length 1336330.867 262 3 1<*<3....
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##### Math 3221 Name 1-001 Spring ~ 32018 Test " Point- Two values 1 . are  shown Use  in variation brackets of next given 'each , Student ED. that; parameters the problem . general solve - the number. solution Show - to nonhomogeneous = enough ) X' = work t0 E syslem X= justfy Youf â‚¬ X is unteni X=q COS X+ (sint) +62 Gf)e , Sint Cos
Math 3221 Name 1-001 Spring ~ 32018 Test " Point- Two values 1 . are  shown Use  in variation brackets of next given 'each , Student ED. that; parameters the problem . general solve - the number. solution Show - to nonhomogeneous = enough ) X' = work t0 E syslem X= justfy Youf...
##### The exercise involving data in this and subsequent sections were designed to be solved using Excel: The following estimated regression equation is based on 10 observations was presented_ 9 = 29.1270 + 0.590621 + 0.498022 Here SST = 6,855.250 , SSR = 6,073.625 8b1 0.0704, and 8b2 0.0578_ Compute MSR and MSE (to 3 decimals): MSRMSECompute the F test statistic (to decimals) Use F table_What is the p-value?Select your answerAt a = .05, what is your conclusion? Select your answer Compute the t test s
The exercise involving data in this and subsequent sections were designed to be solved using Excel: The following estimated regression equation is based on 10 observations was presented_ 9 = 29.1270 + 0.590621 + 0.498022 Here SST = 6,855.250 , SSR = 6,073.625 8b1 0.0704, and 8b2 0.0578_ Compute MSR ...
##### Application of Derivative Homework In order t0 receive full credit your answers must be written in pencil clearly and be legible with box Or circle around your answer: If cannot read your answer; it will be counted as incorrect. Problem Find the critical numbers and the open intervals on which the function is increasing or decreasing:ysx}f(x) =vx-Tg(x) = (x ~ 1);Problem 4: Find the critical numbers and the open inlervals on which the function increasing OI decreasing: (Hint: Check for discontinu
Application of Derivative Homework In order t0 receive full credit your answers must be written in pencil clearly and be legible with box Or circle around your answer: If cannot read your answer; it will be counted as incorrect. Problem Find the critical numbers and the open intervals on which the f...
##### Earthquakes generate sound waves inside the earth. Unlike a gas, the earth can experience both transverse (S) and longitudinal (P) sound waves. Typically the speed of $S$ wave is about $4.0 \mathrm{~km} \mathrm{~s}^{-1}$, and that of $P$ wave is $8.0 \mathrm{~km} \mathrm{~s}^{-1}$. A seismograph records Pand S waves from an earthquake. The first $P$ wave arrives $4 \mathrm{~min}$ before the first $S$ wave. Assuming the waves travel in straight line, at what distance does the earthquake occur?
Earthquakes generate sound waves inside the earth. Unlike a gas, the earth can experience both transverse (S) and longitudinal (P) sound waves. Typically the speed of $S$ wave is about $4.0 \mathrm{~km} \mathrm{~s}^{-1}$, and that of $P$ wave is $8.0 \mathrm{~km} \mathrm{~s}^{-1}$. A seismograph rec...
##### Question 16Let a = (1,3).b = (3,-2> What is |2a 3b1 113V221V73V68V1484193
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##### Which geometry do you predict will have lower energy: a square pyramid or a trigonal bipyramid? Why?
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##### Canict#general (Mtti vsq-vaku-bqqMicrosof Word - Math336Finallexlernalfile arc-contenl /content*25349252F8252Fcom microsoft office outlook fileprovider%252Foutlookfile%252Fdata%252Fdata*252Fcommicrosoft_office out Natolx Mail " Jullet Calder Power Book IL Gho _(20 points} Fiud the genera| enluon3 ' + 44t3(Sing the mcthod of undctermined cocfficicnts.(20 Qoines) Find the genera soltiousin? (2/)Ising thc mnethod of Iintion o paromettr
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##### SECTIONSUEJECTEQusllnMliLO_BMurkd4 per Ihc Fedkual Hud 'ct 20201-20121 presented by Gotattunet Palisuan (ollawing sLl Andl Ac Otk: Wt Mic IE "pplcable for *larietl pETus ft the yer 202(20zi:Tulc InceneTax KaleBckuru GAmIIbi (uM 126_Me(HaI,Idh>Lulm LAlu(m10"- u llieetreting L(AmAimi idu - 2fimam4ne #WmmiulI cXlccling | Rimi(atJollimmu UA(mJi WaI1757- u thc umttint cxte ding >e(lo4k>Julu - SaJ7ul DUt of tbe: Atilexitit â‚¬xcccuing ) SUI5O,um- Ruo67u, 15e uthc AETILAUIIL â‚
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##### Using the table of pKa values found here rank the following molecules in order of increasing base strength (4= least basic, 1 = most basic).ooccoo- Ca(OH)zCIOz
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##### Consider a beaker containing a saturated solution of nickel hydroxide in equilibrium with undissolved Ni(OH)z at the bottom of the beaker: Predict whether each of the following additions will increase; decrease, or have no effect on the amount of solid_ NOHlat the bottom of the_beakerI.Add Ni(NO3h2 [SelectII. Add NaOHSelect ]III: Add NH3 [Select ]IV. Add HNO: [Select ] Increase Decrease No effect
Consider a beaker containing a saturated solution of nickel hydroxide in equilibrium with undissolved Ni(OH)z at the bottom of the beaker: Predict whether each of the following additions will increase; decrease, or have no effect on the amount of solid_ NOHlat the bottom of the_beaker I.Add Ni(NO3h2...
##### Consider the following hypothetical data collected in two studies of the reaction $$2 \mathrm{A}+2 \mathrm{B} \longrightarrow \mathrm{C}+2 \mathrm{D}$$ In Experiment $1,[\mathrm{B}]_{0}=10.0 \mathrm{M}$ In Experiment $2,[\mathrm{B}]_{0}=20.0 \mathrm{M}$ $$\text {Rate} =\frac{-\Delta[\mathrm{A}]}{\Delta t}$$ a. Use the concentration versus time data to determine the rate law for the reaction. b. Solve for the value of the rate constant (k) for the reaction. Include units. c. Calcul
Consider the following hypothetical data collected in two studies of the reaction $$2 \mathrm{A}+2 \mathrm{B} \longrightarrow \mathrm{C}+2 \mathrm{D}$$ In Experiment $1,[\mathrm{B}]_{0}=10.0 \mathrm{M}$ In Experiment $2,[\mathrm{B}]_{0}=20.0 \mathrm{M}$  \text {Rate} =\frac{-\Delta[\mathr...
##### 4) The equilibrium constant Ka for dissociation of a weak acid HA can be determined from its titration curve with a strong base. See Equations 2 and 3KaEquation 2HA + Hz0 + A + H3O+[A-] [Hz0+] [HA]Equation 3KaAt the point when [A-] = [HAJ:[A-][Hz0+] Ka [Hz0+] [HA] Therefore, Ka = [HsO+] Ifyou take the negative log" ofboth sides of the equation, then we get: pKa ~log Ka = ~log [H3O+] =pH Therefore, pKa pHEquationEquation 5 Equation 6
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##### (30 pts) Consider the system in Figure below.CDM(ete DIC s[n] yn]T;where Xc(jn) and H(ejw) are;XuIIlke )~n*$* 10"20 *$ * i0"Determine the minimum sampling frequency for Xc(t). Sketch and label the Fourier transforms of xc(t),xIn], s[n],yln] & Yc(t) for;Ti = 100us and Tz 200us . Ti = Z00us and Tz 100us .(Carefully label the axis (W and 0) and don"t forget the label y-axis (Xc(jn),X(ejw etc:))
(30 pts) Consider the system in Figure below. CD M(ete DIC s[n] yn] T; where Xc(jn) and H(ejw) are; XuI Ilke ) ~n*$* 10" 20 *$ * i0" Determine the minimum sampling frequency for Xc(t). Sketch and label the Fourier transforms of xc(t),xIn], s[n],yln] & Yc(t) for; Ti = 100us and Tz 200...