MATH 427 Introduction to Deterministic Dynamical Systems Units: 3.00
Topics include: global properties of flows and diffeomorphisms, Invariant sets and dynamics, Bifurcations of fixed and periodic points; stability and chaos. Examples will be selected by the instructor. Given jointly with MATH 827.
Learning Hours: 120 (36 Lecture, 84 Private Study)
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Explore a variety of different types of dynamical systems: flows and semiflows, differential and difference equations, vector fields, linear versions of the above.
- Investigate various classes of low-dimensional dynamical systems, and consider in detail what behaviours can be exhibited by these.
- Study recurrent behaviour, indecomposability, invariance and stability.
- Understand what a dynamical system is.