Reconstructing the states of a nonlinear dynamical system

We often encounter nonlinear dynamical systems that behave unpredictably, such as the Earth's climate and the stock market. To analyze them, measurements taken over time are used to reconstruct the state of the system. However, ...

When is a 'basin of attraction' like an octopus?

Mathematicians who study dynamical systems often focus on the rules of attraction. Namely, how does the choice of the starting point affect where a system ends up? Some systems are easier to describe than others. A swinging ...

Modern simulations could improve MRIs

Gadolinium-based contrast agents, the gold standard in magnetic resonance imaging (MRI) to determine the health of a patient, can be improved, according to Rice University engineers who are refining models they first used ...

Quantum tunneling pushes the limits of self-powered sensors

Shantanu Chakrabartty's laboratory has been working to create sensors that can run on the least amount of energy. His lab has been so successful at building smaller and more efficient sensors, that they've run into a roadblock ...

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