In this report we present a method of adding a feedback control mechanism to an echo state network (ESN) pattern generator in order to modulate its output patterns with the purpose of tracking slowly varying control targets, e.g. shift, amplitude, or frequency of an oscillatory pattern. A proofof-principle case study is presented where a basic ESN is trained to produce a stable sinewave oscilla...

A bstract We propose a formalism to extract the ?? ? ?? chiral anomaly F 3 ? from calculations in lattice QCD performed at larger-than-physical pion masses. To this end, we start dispersive representation of ? (*) amplitude, whose main quark-mass dependence arises scattering phase shift and can be derived perturbation theory via inverse-amplitude method. With parameters constrained by P -wave s...

The effective field theory (EFT) for a toy model of nucleons interacting via a short range and a long range Yukawa potential is presented. The scattering amplitude in the S0 channel is calculated up to next-to-next-to-leading order (NNLO) using the Kaplan-Savage-Wise (KSW) power counting scheme. A particular expansion of the amplitude about the pole at low (imaginary) momentum is used to derive...

We report the first detection of the Higgs-type amplitude mode using Bragg spectroscopy in a strongly interacting condensate of ultracold atoms in an optical lattice. By the comparison of our experimental data with a spatially resolved, time-dependent bosonic Gutzwiller calculation, we obtain good quantitative agreement. This allows for a clear identification of the amplitude mode, showing that...

Objective...........................................................................................................................1 Harmonic Oscillators........................................................................................................1 Tuned Circuit' Oscillator...................................................................................................2 Experiment ...

We evaluate analytically the elastic scattering amplitude to two loops in chiral perturbation theory and give numerical values for the two S{wave scattering lengths and for the phase shift diierence 0 0 ? 1 1 .

A dispersion framework, appropriate for discussing the low-energy pion-nucleon interaction , is reviewed. Sensitivity of the isoscalar D-amplitude at the unphysical Cheng-Dashen point to input from different phase shift analyses and low-energy experiments is discussed.

We derive large-amplitude collective equations of motion from the variational principle for the time-dependent Schrödinger equation. These equations reduce to the well-known diabatic formulas for vibrational frequencies in the small amplitude limit. The finite amplitude expression allows departures from harmonic behavior of giant resonances to be simply estimated. The relative shift of the seco...

In this work, the performance of two equalizers Least Mean Square (LMS) and Recursive Least Square (RLS) is observed by calculating the BER effect of Rician channels over low Doppler shift. AWGN is also added to the channel from -10 dB to 20 dB. The Bit Error Rate (BER) of 2, 4, 8-PSK (Phase Shift Keying) signals and 16, 64QAM (Quadrature Amplitude Modulation) over Rayleigh and Rician channel i...

We analyze the phase shift induced in an amplitude-modulated laser beam propagating through a water dispersion of graphene oxide sheets in a fiber-to-fiber U-bench. This phase shift arises from the thermally induced nonlinear refraction in the sample. The system exhibits strong optical limiting performance for weak continuous-wave signals. A theoretical model including beam propagation and ther...