Recent exploration of collective phenomena in oscillator arrays has highlighted the potential to access a range physical phenomena, from fundamental quantum many-body dynamics solution practical optimization problems using photonic Ising machines. Spontaneous oscillations often arise these as an imbalance between gain and loss. Due coupling individual arrays, spontaneous oscillation is constrai...

Lateral quantized charge transfer was observed with gold nanoparticle monolayers at the air/water interface. The electronic conductivity was measured by using an interdigitated arrays (IDA) electrode perpendicularly aligned at the air/water interface where a particle ensemble was trapped between the IDA fingers. The overall voltammetric responses were analogous to that of the Coulomb blockade w...

the harmonic index h(g) , of a graph g is defined as the sum of weights 2/(deg(u)+deg(v)) of all edges in e(g), where deg (u) denotes the degree of a vertex u in v(g). in this paper we define the harmonic polynomial of g. we present explicit formula for the values of harmonic polynomial for several families of specific graphs and we find the lower and upper bound for harmonic index in caterpill...

We study the observation of stochastic gravitational-wave background (SGWB) made by pulsar-timing arrays in spherical harmonic space. Instead using Shapiro time delay, we keep Sachs-Wolfe line-of-sight integral for timing residual an observed pulsar. derive power spectrum residual, from which overlap reduction functions and bipolar harmonics coefficients are constructed SGWB intensity polarizat...

‎The controlled harmonic oscillator with retarded damping‎, ‎is an important class of optimal control problems which has an important role in oscillating phenomena in nonlinear engineering systems‎. ‎In this paper‎, ‎to solve this problem‎, ‎we presented an analytical method‎. ‎This approach is based on the homotopy perturbation method‎. ‎The solution procedure becomes easier‎, ‎simpler and mor...

We present the new and unexpected results concerning the Bose–Einstein Condensation for the Pure Hopping Model, describing the thermodynamic behaviour of Bardeen–Cooper pairs in arrays of Josephson junctions located on non homogeneous amenable networks. For this particular situation arising from physics, the results are obtained by a detailed analysis concerning harmonic analysis of the adjacen...

Covering arrays of strength two have been widely studied as combinatorial models of software interaction test suites for pairwise testing. While numerous algorithmic techniques have been developed for the generation of covering arrays with few columns (factors), the construction of covering arrays with many factors and few tests by these techniques is problematic. Random generation techniques c...