Time reversibility is ever-present in physical systems. Take for example a video of a pendulum swinging - can you tell if the video is being played forward or backward?
In this lecture we introduce time reversibility in dynamical systems and explore its consequences on the system dynamics. We motivate with second-order systems that are derived from physical laws such as Newton's Second law, but then turn to a general discussion of what reversibility means for a dynamical system. We work through three examples that involve sketching the phase plane and proving the existence of a homoclinic orbit. Frequent comparisons to conservative systems are made throughout.
Learn more about conservative systems: https://www.youtube.com/watch?v=gKYSxW_syt0
Lecture series on dynamical systems: https://www.youtube.com/watch?v=41P4vFP7RWo&list=PLXsDp0z6VWFQlsNP4tamU-QtSAG77u4T9
Lectures series on differential equations: https://www.youtube.com/watch?v=UDUH58w4-5w&list=PLXsDp0z6VWFTkAhFApYsNfqgRvZrPTeom
More information on the instructor: https://hybrid.concordia.ca/jbrambur/
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