When you throw a ball in the air, the equations of classical physics will tell you exactly what path the ball will take as it ...
A team of researchers at Kyoto University have demonstrated that the chaotic component of heartbeat variability is uniquely ...
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French mathematician Frank Merle wins $3M prize dubbed 'Oscars of science'
By proving that systems long believed to be stable can still "blow up" to infinity, Professor Frank Merle has been awarded ...
It’s the same math that explains how, under the right conditions, the atmosphere above a barren plain can produce a roiling ...
Frank Merle is used to confronting a messy world. A linear equation is something like y = 2x, which states that the value of ...
In his doctoral thesis, Michael Roop develops numerical methods that allow finding physically reliable approximate solutions ...
Applying a few simplifying assumptions and constructing a set of ordinary differential equations leads to a model that ...
Novel nonlinear functions are introduced to construct first-order nonlinear filters to address the following critical issues encountered in widely used dynamic surface control (DSC) methods. Firstly, ...
Abstract: This article considers the robust safety-critical control problem of an uncertain second-order nonlinear system subject to denial-of-service (DoS) attacks on the sensor–controller and ...
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