Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
1. Each of the following functions undergoes a bifurcation of fixed points at the given parameter value. In each case, use algebraic or graphical methods to identify this bifurcation as either a saddle-node or period-doubling bifurcation, or neither of these. In each case, sketch the phase portrait for typical parameter values below, at, and above the bifurcation value. a. F,(x) =1+r²+ A, a = 0 b. Fx(x) =1+r²+ A, a = -1 c. G„(z) = µx+r', µ= -1 d. G„(z) = µx+r², µ = 1 e. Sp(x) = µ sin r, µ = 1 f. Sp(x) = µsin I, µ = -1 g. F.(z) = r³ + c, c = 2/3/3 h. Ex(r)= (e² – 1), A= -1 i. Ex(x) = (e² – 1), A=1 %3D

1. Each of the following functions undergoes a bifurcation of fixed points at the given parameter value. In each case, use algebraic or graphical methods to identify this bifurcation as either a saddle-node or period-doubling bifurcation, or neither of these. In each case, sketch the phase portrait for typical parameter values below, at, and above the bifurcation value. a. F,(x) =1+r²+ A, a = 0 b. Fx(x) =1+r²+ A, a = -1 c. G„(z) = µx+r', µ= -1 d. G„(z) = µx+r², µ = 1 e. Sp(x) = µ sin r, µ = 1 f. Sp(x) = µsin I, µ = -1 g. F.(z) = r³ + c, c = 2/3/3 h. Ex(r)= (e² – 1), A= -1 i. Ex(x) = (e² – 1), A=1 %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
please do part i thanks..hand written plz
1. Each of the following functions undergoes a bifurcation of fixed points at the given parameter value. In each case, use algebraic or graphical methods to identify this bifurcation as either a saddle-node or period-doubling bifurcation, or neither of these. In each case, sketch the phase portrait for typical parameter values below, at, and above the bifurcation value. a. Fx(x) = 1+r² + A, a = 0 b. Fx(x) = x + a² + A, a = -1 c. G„(x) = µr +r³, µ = -1 d. G, (1 ) = μπ + π', μ=1 e. S„(1) = µ sin r, µ= 1 f. S„(r) = u sin r, µ= -1 g. Fe(r) = r³ + c, c = 2/3/3 h. Ex(r) = Me* – 1), A= -1 i. Ex(r) = Me – 1), A= 1 j. He(r) = r + cr², c = 0 k. F.(r) = r+cz² + x³, c = 0
Transcribed Image Text:1. Each of the following functions undergoes a bifurcation of fixed points at the given parameter value. In each case, use algebraic or graphical methods to identify this bifurcation as either a saddle-node or period-doubling bifurcation, or neither of these. In each case, sketch the phase portrait for typical parameter values below, at, and above the bifurcation value. a. Fx(x) = 1+r² + A, a = 0 b. Fx(x) = x + a² + A, a = -1 c. G„(x) = µr +r³, µ = -1 d. G, (1 ) = μπ + π', μ=1 e. S„(1) = µ sin r, µ= 1 f. S„(r) = u sin r, µ= -1 g. Fe(r) = r³ + c, c = 2/3/3 h. Ex(r) = Me* – 1), A= -1 i. Ex(r) = Me – 1), A= 1 j. He(r) = r + cr², c = 0 k. F.(r) = r+cz² + x³, c = 0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS