After a brief comprehensive review of old and new results on the well known Fermi-Pasta-Ulam (FPU) conservative system of N nonlinearly coupled oscillators, we present a compact linear mode representation of the Hamiltonian of the FPU system with quartic nonlinearity and periodic boundary conditions, with explicitly computed mode coupling coefficients. The core of the paper is the proof of the ...

We study, numerically, the influence of third-order dispersion (TOD) on modulation instability (MI) in optical fibers described by the extended nonlinear Schrödinger equation. We consider two MI scenarios. One starts with a continuous wave (CW) with a small amount of white noise, while the second one starts with CW with a small harmonic perturbation at the highest value of the growth rate. In e...

We report on the formal verification of the floating point unit used in the VAMP processor. The FPU is fully IEEE compliant, and supports denormals and exceptions in hardware. The supported operations are addition, subtraction, multiplication, division, comparison, and conversions. The hardware is verified on the gate level against a formal description of the IEEE standard by means of the theor...

This study was carried out within the framework of National Programme for University Teacher Training (FPU) Spanish Universities Ministry and funded by a grant awarded to second author paper.

ABSTRACT Chitin and its derivatives have valuable potential applications in various fields that include medicine, agriculture, food industries. Paenibacillus sp. str. FPU-7 is one of the most potent chitin-degrading bacteria identified. This review introduces chitin degradation system P. FPU-7. In addition to extracellular chitinases, uses a unique multimodular chitinase (ChiW) hydrolyze oligos...

Dynamics of the Fermi-Pasta-Ulam (FPU) system on a two-dimensional square lattice is considered in limit small-amplitude long-scale waves with slow transverse modulations. In absence modulations, dynamics such waves, even at an oblique angle respect to lattice, known be described by Korteweg-de Vries (KdV) equation. For three basic directions (horizontal, vertical, and diagonal), we prove that ...

Hierarchical grid control strategies are an appropriate design concept for the coordination of future transmission system operator (TSO) and distribution (DSO) interactions. approaches based on aggregation decentralized ancillary service potentials, represented by converter-coupled, communicable active reactive power flexibility providing units (FPU, e.g. wind turbines) at vertical TSO/DSO inte...