HONOURS M. A. AND HONOURS B. Sc. EXAMINATION
MATHEMATICS AND STATISTICS
Paper MT4508 Dynamical Systems
May 2004
Time allowed : Two hours
Attempt ALL questions
Consider the map f : R2 R2 dened in polar
Example Solutions
Course
Lecturer
Academic Year
:
:
:
Dynamical Systems (MT4508)
T. Neukirch
2009/2010 (Semester 2)
Question 1
Solution :
(a)
We expect two equilibria (one at x = 0), because there are
MAY 2010 EXAMINATION DIET
SCHOOL OF MATHEMATICS & STATISTICS
MODULE CODE:
MT 4508
MODULE TITLE:
Dynamical Systems
EXAM DURATION:
2 hours
EXAM INSTRUCTIONS Attempt ALL questions.
The number in square b
Purpose
Course
Lecturer
Academic Year
:
:
:
:
Example Solutions of Exam Questions
Dynamical Systems (MT4508)
T. Neukirch
2003/2004 (Semester 2)
Question 1
Solution :
(i)
We have
r = r2
=
r = 0, 1 ,
an
Purpose
Course
Lecturer
Academic Year
:
:
:
:
Example Solutions of Exam Questions
Dynamical Systems (MT3808/4808)
T. Neukirch
2001/2002 (Semester 2)
Question 1
Solution :
(i)
Fixed points: We get
x =
Purpose
Course
Lecturer
Academic Year
:
:
:
:
Example Solutions of Exam Questions
Dynamical Systems (MT3808/4808)
T. Neukirch
1999/2000 (Semester 2)
Question 1
Solution :
(i)
Fixed points: For x 1/2 w
1
('1)
(ii)
(iii)
M zsog
U
HONOURS M. A. AND HONOURS B. So. EXAMINATION
MATHEMATICS AND STATISTICS
Paper MT3808 Dynamical Systems
May 2000
Time allowed : Two hours
Attempt not more than THR