Abstract: In this article, we search for polynomial Lyapunov functions beyond the quadratic form to investigate the synchronization problems of nonlinearly coupled complex networks. First, with a ...

Abstract: Polynomial Lyapunov function $\mathcal{V}({\mathbf{x}})$ provides mathematically rigorous that converts stability analysis into efficiently solvable optimization problem. Traditional ...

In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...

Executive function describes a set of cognitive processes and mental skills that help an individual plan, monitor, and successfully execute their goals. The “executive functions,” as they’re known, ...

Dr. James McCaffrey presents a complete end-to-end demonstration of the kernel ridge regression technique to predict a single ...

This useful study shows that stimuli of a certain size elicit theta oscillations in V1 neurons both in spikes and local field potentials, and monkeys performing a dot detection task on these stimuli ...

Inspur Intelligent Supply Chain Technology Co., Ltd. recently applied for a patent titled "A Method for Robot Path Planning," which will be publicly disclosed in August 2025. This marks an important ...

Python support for Azure Functions is based on Python 3.8, 3.9, 3.10, 3.11, and 3.12 serverless hosting on Linux, and the Functions 2.x (EOL), 3.x (EOL) and 4.0 runtime. This project welcomes ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

Blockchain security relies heavily on cryptographic primitives like public-key encryption, digital signatures, and hash functions. In current systems, techniques such as RSA and elliptic curve ...

Daniele Struppa will be returning to the classroom and research, though he never really left it during his decade leading the ...

Proteins are the end products of the decoding process that starts with the information in cellular DNA. As workhorses of the cell, proteins compose structural and motor elements in the cell, and they ...