This paper investigates the lock range of injection-locked non-harmonic oscillators using a frequency-domain approach. By representing a non-harmonic oscillator with a set of harmonic oscillators, the intrinsic relation between the lock range of the harmonic oscillators and that of the non-harmonic is obtained. We show that non-harmonic oscillators exhibit a larger lock range as compared with h...

We study the robustness of the selftrapping phenomenon exhibited by the Discrete Non-linear Schrödinger (DNLS) equation against the effects of nonadiabaticity and quantum fluctuations in a two–site system (dimer). To test for nonadiabatic effects (in a semiclassi-cal context), we consider the dynamics of an electron (or excitation) in a dimer system and coupled to the vibrational degrees of fre...

We consider the effects of bath size on the nature of the dynamics and transport properties for two simple models in which the bath is composed of a collinear chain of harmonic oscillators. The first model consists of an untwisted rotating chain (elastic rotor) for which we obtain a non-Markovian equation analogous to the generalized Langevin equation for the rotational degrees of freedom. We d...

We study the robustness of the selftrapping phenomenon exhibited by the Discrete Non-linear Schrödinger (DNLS) equation against the effects of nonadiabaticity and quantum fluctuations in a two–site system (dimer). To test for nonadiabatic effects (in a semiclassi-cal context), we consider the dynamics of an electron (or excitation) in a dimer system and coupled to the vibrational degrees of fre...

The problem of natural wave control involves steering a lattice of oscillators towards a desired natural (i.e. zero-input) assignment of energy and phase across the lattice. This problem is formulated and solved for lattices of linear oscillators via a passivity-based approach. Numerical simulations of 1D and 2D linear lattices and a 1D lattice of nonlinear oscillators confirm the effectiveness...

A new approach to high energy evolution based on a linear equation for QCD generating functional is developed. This approach opens a possibility for systematic study of correlations inside targets, and, in particular, inside realistic nuclei. Our results are presented as three new equations. The first one is a linear equation for QCD generating functional (and for scattering amplitude) that sum...

accurate and nondestructive methods to determine individual leaf areas of plants are useful tools in physiological and agronomic research. a determination of the individual leaf area (la) of such species in brassicaceae family as red cabbage (brassica oleracea var. cappitata l. f. rabra), cabbage (brassica oleracea var. cappitata l. f. alba) and broccoli (brassica oleracea var. italica l.) ...