Researchers at the University of California, Los Angeles (UCLA) have developed an optical computing framework that performs ...

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 ...

Nonlinear waves; integrable systems; solitons; mathematical modeling in social and behavioral science. The study of wave phenomena by means of mathematical models often leads to a certain class of ...

Kalman filtering remains a cornerstone of state estimation in stochastic systems, enabling the real‐time integration of noisy measurements into dynamic system models. Originally developed for linear ...

In this paper, we state and prove a new discrete fractional version of the generalized Gronwall inequality. Based on this, a particular version expressed by means of discrete Mittag–Leer functions is ...

This paper is a continuation of our study on doubly nonlinear parabolic type equations that was initiated by a previous paper; it is however self-contained. We propose here to investigate a time ...

Nonlinear optical dynamics—intensity-dependent response of light upon interaction with materials under high-intensity light ...

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