Webb5 feb. 2024 · We study the Quasi-Periodic Pulsations (QPPs) of an M4.4 class solar flare, which occurred in active region NOAA 11165 on 8 March 2011. With the Fast Fourier Transform (FFT) method, we decompose the flare light curve into fast- and slowly-varying components. The 100 s (0.01 Hz) is selected as the cutoff threshold between the fast- … WebbIt is said to be uniformly ϕ -slowly varying (u. ϕ -s.v.) if lim x→∞ sup α ∈ I ϕ (x) f (x+α)−f (x) =0 for every bounded interval I. It is supposed throughout that ϕ is positive and increasing. It is proved that if ϕ increases rapidly enough, then every ϕ -s.v. function f must be u. ϕ -s.v. and must tend to a limit at ∞.

Slowly Varying Jump and Transition Phenomena Associated with …

WebbIn a first step, no torque is applied to the particle, so that its motion is described by a Hamiltonian with slowly varying parameters. We show that the torque applied to the satellite, as measured by ∈ s = j s / ( n s J s) induces an distortion of the phase space which is entirely described by an asymmetry coefficient α = ∈ s /μ, where ... Webb15 okt. 1999 · The slowly varying amplitude approximation that is widely adopted in nonlinear optics is appraised by the transfer-matrix method. Rigorous solution for second harmonic generation in nonlinear optical superlattices shows that this approximation is invalid when the reflection of the second harmonic (SII) wave from the crystal interface … can heart stents go bad

On the Characterization of Slowly Varying Sinusoids

Webb1 feb. 1974 · In this paper we introduce three new classes of functions under names translational slowly varying, translational regularly varying and translational O-regularly … WebbAbstract. We obtain existence and bifurcation theorems for homoclinic orbits in three-dimensional flows that are perturbations of families of planar Hamiltonian systems. The perturbations may or may not depend explicitly on time. We show how the results on periodic orbits of the preceding paper are related to the present homoclinic results, and ... WebbNumerical analysis of the self-focusing of femtosecond optical pulses reveals that the usually invoked slowly varying envelope approximation breaks down long before the temporal structure reaches the time scale of an optical cycle. fit fathers