Sketching phase planes is often a hard task, but the existence of a conservation law can greatly ease the process. In this lecture we introduce conserved quantities in dynamical systems and demonstrate that trajectories must lie along their level sets. This makes understanding the dynamics of the system considerably easier. We illustrate with a double-well example, while motivating our study by appealing to classical physics.
This course is taught by Jason Bramburger for Concordia University.
More information on the instructor: https://hybrid.concordia.ca/jbrambur/
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