• We visualized the phase-amplitude coupling phenomenon related to seizures by showing rhythmic fluctuation of high-frequency activities. The low frequency band mainly coupled ictal-ripple activities was θ (4–8 Hz). seizure-related ripple power started increase, and then spread, with fluctuations, not linear increases. High-frequency (HFAs) (PAC) are key neurophysiological biomarkers for studyi...

We study the Josephson effect through a quantum dot magnet whose spin is isotropic and which is coupled to the dot electron spin via exchange coupling. We calculate the Andreev levels and the supercurrent and examine the intertwined effect of the exchange coupling, Kondo correlation, and superconductivity. The former suppresses Kondo correlations, which triggers phase transitions from the 0 to ...

We studied the dynamics of synchronization in asymmetrically coupled neural oscillators with time delay. Stability analysis revealed that symmetric excitatory coupling results in synchrony at multiple phase relations. Asymmetry yields two saddle-node bifurcations of the stable states when coupling is asymmetric. By contrast, with inhibitory coupling only in phase or antiphase is stable as long ...

This work investigates aperiodicities that occur in the sustained portion of a sound of musical instrument played by a human player, due to synchronous versus asynchronous deviations of the partial phases. By using an additive sinusoidal analysis, phases of individual partials are precisely extracted and their correlation statistics and coupling effects are analyzed. It is shown that various mu...

We theoretically study the synchronization between collective oscillations exhibited by two weakly interacting groups of nonidentical phase oscillators with internal and external global sinusoidal couplings of the groups. Coupled amplitude equations describing the collective oscillations of the oscillator groups are obtained by using the Ott-Antonsen ansatz, and then coupled phase equations for...

Coupled-mode equations for an asymmetric fibre-to-planar optical coupling system, incorporated a grating structure are presented. A grating-assisted coupling coefficient is described. When the parameters of the coupler are such that there is no phase synchronism between the fibre and the slab modes, the grating enhances the coupling in both the resultant amplitude and phase modulation. However,...

We propose an all-order perturbative expression for the dressing phase of the AdS5 × S string S-matrix at strong coupling. Moreover, we are able to sum up large parts of this expression. This allows us to start the investigation of the analytic structure of the phase at finite coupling revealing a few surprising features. The phase obeys all known constraints including the crossing relation and...

We present a detailed analysis of the phase transition in the standard model at finite temperature. Using an improved perturbation theory, where plasma masses are determined from a set of one-loop gap equations, we evaluate the effective potential V ef f (ϕ, T) in next-to-leading order, i.e., including terms cubic in the gauge coupling g, the scalar self-coupling λ 1/2 and the top-quark Yukawa ...