In this paper, we numerically study the scattering of kinks in noncanonical sine-Gordon model using Fourier spectral methods. The depends on two free parameters, which control localized inner structure energy density and characteristics potential. It has been conjectured that kink solutions possess structures their density, presence these yields bound states resonance for some relative velociti...

Ocular following responses (OFRs) were elicited in monkeys at short latencies ( approximately 50ms) by applying motion in the form of successive 1/4-wavelength steps to each of two overlapping vertical sine-wave gratings that had different spatial frequencies. In the first experiment, the two sine waves had spatial frequencies in the ratio 3:5 and moved in opposite directions. The initial OFRs ...

The well-known phase structure of the two-dimensional sine-Gordon model is reconstructed by means of its renormalization group flow, the study of the sensitivity of the dynamics on microscopic parameters. Such an analysis resolves the apparent contradiction between the phase structure and the triviality of the effective potential in either phases, provides a case where usual classification of o...

SU(N) Yang-Mills theories, which are expected to describe the strong interaction in the case N = 3, are one of the most studied models in theoretical physics. While their asymptotic UV behavior is well under control thanks to asymptotic freedom, the need of non-perturbative techniques to describe the IR behavior has rapidly appeared to be mandatory. The reasons of this non-perturbativity of the...

We have numerically investigated the dynamics of a long linear Josephson tunnel junction with overlap geometry (Flux-Flow Oscillator, FFO). The study is performed in the frame of a modified sine-Gordon model, which includes surface losses, self-pumping effect, and in an empirical way the superconducting gap. The electromagnetic coupling to the environment is modeled by a simple resistor-capacit...

In this paper, we investigate the dynamics of a completely inelastic ball on a vertically vibrated plate. We construct a computational model using various forcing waveforms for the plate and generate associated bifurcation diagrams. The forcing functions used are a superposition of two sine waves with an integer ratio of frequencies. We then observe experimentally some of the predictions made b...