Tentative Syllabus:
This course will be a potpourri of dynamical systems, focusing on examples and main concepts and notions rather
than technical proofs of general theorems. I plan to discuss or at least briefly touch upon some of the following topics and concepts:
- elements of ergodic theory,
- topological entropy,
- structural stability,
- maps of the circle and the Denjoy example,
- local analysis and local normal forms,
- hyperbolic dynamical systems.
This will not be a comprehensive course in dynamical systems, but rather a non-technical overview of central notions and ideas. Examples are particularly important in dynamics and I will devote a lot of attention to them.
COVID-19 Information:
Please take care to comply with all university guidelines about masking in indoor settings, performing daily symptom and badge checks, testing as required by the campus vaccine policy, self-isolating in the event of exposure, and respecting others’ comfort with distancing. Please do not come to class if your badge is not green. If you are ill or suspect you may have been exposed to someone who is ill, or if you have symptoms that are in any way similar to those of COVID-19, please err on the side of caution and stay home until you are well or have tested negative after an exposure.