A pruning reservoir computing technique can mitigate noise and reconstruct nonlinear dynamics for potential engineering and ...

Nonlinear optics is an important research direction with various applications in laser manufacturing, nanostructures’ fabrication, sensor design, optoelectronics, biophotonics, and quantum ...

Mechanical engineers at the University of Wisconsin–Madison have developed a new framework that speeds up the design of shock ...

Nonlinear optical crystals are employed in optical signal processing and switching applications, leveraging their ability to modulate and control light. They enable all-optical switching, wavelength ...

As a follow-on course to "Linear Kalman Filter Deep Dive", this course derives the steps of the extended Kalman filter and the sigma-point Kalman filter for estimating the state of nonlinear dynamic ...

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 ...

Artz G. Luwanda, Henry G. Mwambi, A Nonlinear Mixed-Effects Model for Multivariate Longitudinal Data with Dropout with Application to HIV Disease Dynamics, Journal of Agricultural, Biological, and ...

Based on the work of paper [1], we propose a modified Levenberg-Marquardt algoithm for solving singular system of nonlinear equations F (x) = 0, where F (x) : Rn → Rn is continuously differentiate and ...

That is to say, after long periods of boring and predictable behaviour, these systems suddenly become wildly unpredictable, exhibiting extreme fluctuations. What is a nonlinear system?