1 Properties of solitons. a. Linear energy bands (grey) for the model described in the main text at Ωz/2π=0.3 together with the nonlinear eigenvalue of a soliton (red) for increasing nonlinearity. Dashed line marks a nonlinear bifurcation point, with a corresponding slope change. b. ...
With respect to Regiomontanus's perception of the value of the base circle radius, just prior to the two Sine tables in the Compositio tabularum he states: Thus you have found the sine, with the [sinus] totus [R, radius of base circle] 6000000; and if you wish to have the same [si...
By choosing a fractional value of l, the beam source, whose electric field is given by Eq. (1), is termed a fractional vortex beam. Various fractional vortex beams have been proposed by varying the amplitude and phase term, including fractional Gaussian vortex beams, fractional BG beams, ...
In this context, curves defined according to the Cα−frame take on a different variation of the curve for each α value. In addition, general helices and slant helices are introduced according to the Cα−frame and their necessary characterizations are given. As seen in Fig. 6, for ...
The value of μ-sensitivity with respect to a particular system parameter, is an indication of how critical is that parameter from stability point of view. The method of μ-sensitivity is applied to a PI controlled dc/dc buck converter system with input LC filter in [33], wherein μ-...
2.1.532 Part 1 Section 17.18.10, ST_DecimalNumber (Decimal Number Value) 2.1.533 Part 1 Section 17.18.13, ST_DisplacedByCustomXml (Location of Custom XML Markup Displacing an Annotation) 2.1.534 Part 1 Section 17.18.14, ST_DocGrid (Document Grid Types) 2.1.535 Part 1 Section 17.18...
56. A DM interaction larger than the critical value of (D/J)c ~ 0.08 induces a chiral 120° AFM order from the QSL state57,58,59. By the first-principle calculations (Supplementary Note1), Zn-Barlowite and EuCu3(OH)6Cl3haveD/Jvalues of 0.05 and 0.3, resulting in QSL and ...
N = 0.7 0 20 .log Hem 50 20 40 10 .log( m ) Minimum value for this function is for x = 0.5, there BL = wn/2. Fractional/Integer-N PLL Basics 19 Technical Brief SWRA029 Figure 12. BL Function of N (j = 100N) 3 2 BL j 00 1 200 j 400 500 Figure 13. Active 2nd ...
There exists a unique solution for the initial value problem (2.4) such that H≤min{(Γ(q+1)MLM)1/q,(Γ(q+1)2L)1/q}. 2.2. Stability analysis and hopf bifurcation This section deals with issues of basic reproduction quantity of the integer scheme (2.1) that functions like a decision...
We introduce the investigation of approximate controllability for a new class of nonlocal and noninstantaneous impulsive Hilfer fractional neutral stochastic integrodifferential equations with fractional Brownian motion. An appropriate set of sufficient