TMWYF: Finding Resonance with Delays (Lauren Lazarus Melfi) скачать в хорошем качестве

TMWYF: Finding Resonance with Delays (Lauren Lazarus Melfi)

In many physical systems, a delay occurs between events and their effects: information takes time to travel, or a system needs time to process information and react accordingly. These delays can destabilize plans or the intended behaviors of systems. To complicate matters, when we model this with differential equations, the delay creates an infinite-dimensional solution space with an expanded set of possible behaviors. In this session, we will introduce delay into a simple differential equation and explore the resulting solution space. Then, we’ll use intuitive reasoning about slopes to tame instability and develop the system into a self-sustaining oscillator. How will this system react to external influences? We might catch a couple life lessons along the way.