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This lecture discusses the stability and adaptation of a linear system in the context of the 1st harmonic. It covers topics such as forecasting the limit cycle, the adaptation of parameters between experiences, and the criteria for stability using the Nyquist criterion. The lecture also explores how the system can be adapted to maintain stability and the effects of perturbations on the system's behavior. Additionally, it delves into the concept of a limit cycle, methods for predicting its existence, and the implications of its presence on system behavior.