Math 614/700 Dynamical Systems

Distance Learning Section

The text is "Chaos: An Introduction to Dynamical Systems," Alligood, Sauer and Yorke, Springer Verlag, 1996.

MATLAB is required, student version can be obtained from The MathWorks

Problem list may change during semester, so re-check before starting each assignment.

Topics covered
Topics book HW assignment Computer Experiments due
One-Dimensional Maps Chapter 1 T1.3,T1.5,T1.6,T1.7,T1.9a,T1.10 // 1.1,1.2,1.3,1.4,1.5,1.10,1.11,1.14 1.1,1.2,1.3,1.4 Feb 6
Two-Dimensional Maps Chapter 2 T2.1,T2.2,T2.5,T2.7,T2.8 // 2.1,2.3,2.4b,2.5,2.6,2.7 2.1,2.2 Feb 27
Chaos Chapter 3 T3.1,T3.2,T3.3,T3.6,T3.7 // 3.1,3.3,3.4,3.11ab,3.12 3.1 March 13
Fractals Chapter 4 T4.2,T4.3a,T4.4a,T4.5,T4.7,T4.8 // 4.2,4.3,4.7 4.2 March 27
Differential Equations Chapter 7 T7.1,T7.2,T7.3,T7.5,T7.9 // 7.1,7.2,7.3,7.4abc,7.7 7.2,7.3 April 18
Periodic Orbits and Limit Sets Chapter 8 T8.2 // 8.1,8.2,8.3ab 8.1,8.2 April 24
Chaos in Differential Equations Chapter 9 T9.1,T9.2 // 9.1 May 1

Topics covered
Topics	book	HW assignment	Computer Experiments	due
One-Dimensional Maps	Chapter 1	T1.3,T1.5,T1.6,T1.7,T1.9a,T1.10 // 1.1,1.2,1.3,1.4,1.5,1.10,1.11,1.14	1.1,1.2,1.3,1.4	Feb 6
Two-Dimensional Maps	Chapter 2	T2.1,T2.2,T2.5,T2.7,T2.8 // 2.1,2.3,2.4b,2.5,2.6,2.7	2.1,2.2	Feb 27
Chaos	Chapter 3	T3.1,T3.2,T3.3,T3.6,T3.7 // 3.1,3.3,3.4,3.11ab,3.12	3.1	March 13
Fractals	Chapter 4	T4.2,T4.3a,T4.4a,T4.5,T4.7,T4.8 // 4.2,4.3,4.7	4.2	March 27
Differential Equations	Chapter 7	T7.1,T7.2,T7.3,T7.5,T7.9 // 7.1,7.2,7.3,7.4abc,7.7	7.2,7.3	April 18
Periodic Orbits and Limit Sets	Chapter 8	T8.2 // 8.1,8.2,8.3ab	8.1,8.2	April 24
Chaos in Differential Equations	Chapter 9	T9.1,T9.2 // 9.1		May 1