Control strategies for nonlinear systems address the challenge of guiding systems whose behaviour cannot be approximated by simple linear relationships. Classical linear control techniques often fail ...

Imagine standing on top of a mountain. From this vantage point, we can see picturesque valleys and majestic ridges below, and streams wind their way downhill. If a drop of rain falls somewhere on this ...

Many systems obey simple, linear rules: If you pull twice as hard on a spring, it stretches twice as far. However, when we introduce very large forces or complicated interactions, that linear rule ...

Frank Merle is used to confronting a messy world. He works on the mathematics of highly nonlinear systems—ones that respond in dramatic, unpredictable ways to even the smallest changes. It’s the same ...