A dynamical systems approach to the analyses of neural data shows that autism spectrum disorder (ASD) is characterized by specific temporal patterning of the neural activity that may affect the ...
ABSTRACT: This paper investigates a class of classical reaction-diffusion equations with a time-dependent memory kernel, where the nonlinear term satisfies a supercritical growth condition. Under a ...
Quantum mechanics and relativity are the two pillars of modern physics. However, for over a century, their treatment of space and time has remained fundamentally disconnected. Relativity unifies space ...
ABSTRACT: We propose a new section-averaged one-dimensional model for blood flows in deformable arteries. The model is derived from the three-dimensional Navier-Stokes equations, written in ...
Abstract: We study dynamical optimal transport of discrete time systems (dDOT) with Lagrangian cost. The problem is approached by combining optimal control and Kantorovich duality theory. Based on the ...
If you’ve ever tried to build a agentic RAG system that actually works well, you know the pain. You feed it some documents, cross your fingers, and hope it doesn’t hallucinate when someone asks it a ...
Some days, the classic turn-based game formulas just aren't cutting it. Time to consider strategic options is nice, but ample thinking time can miss out on the exciting tension of making split-second ...
A research team has developed a novel method for estimating the predictability of complex dynamical systems. Their work, "Time-lagged recurrence: A data-driven method to estimate the predictability of ...
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