Extended States for the Schrodinger Operator with Quasi-Periodic
Potential in Dimension Two
The operator [H.sub.0] describes a well-understood system with [V.sub.n] being the background periodic or quasi-periodic
Qi, "Bilinear approach to quasi-periodic
wave solutions of the Kersten-Krasil'shchik coupled KdV-mKdV system," Boundary Value Problems, p.
The domains grew through the crystal and appeared at the opposite polar surface as quasi-periodic
chains of isolated hexagonal microdomains (Figure 1(f)), which merged to the "dashed" structure (Figure 1(g)) for middle D values.
The question about the reducibility of quasi-periodic
systems plays an important role in the theory of ordinary differential equations.
On Saturn, it's known as Quasi-Periodic
Oscillation (QPO) and Quasi-Quadrennial Oscillation (QQO) on Jupiter.
So, the heart sounds are quasi-periodic
. The degree of the periodic property can be reflected by the sharpness of the peak.
Finally, after 20-25 laser scans, a granular film is formed with an average height of the relief of 52nm (Figure 5(a)), which differs from the quasi-periodic
nanoparticle arrays obtained for smaller number of laser passages at smaller laser speed (Figure 5(b)).
Qin, "A kind of explicit quasi-periodic
solution and its limit for the Toda lattice equation," Modern Physics Letters B, vol.
We will focus in particular on predictability in the vicinity of bifurcations leading to intermittent and quasi-periodic
Although only four scattered and isolated points are observed in the Poincare maps shown in Figures 10(d), 11(d), 16(d), and 17(d), the enlarged graphic circulated by the red circle shows that the isolated "points" are actually closed loops which indicate quasi-periodic