The gain properties of an oscillator strongly affect its behavior. When the gain is homogeneous, different modes compete for gain resources in a 'winner takes all' manner, whereas with inhomogeneous gain, modes can coexist if they utilize different gain resources. We demonstrate precise control over the mode competition in a mode locked Ti:sapphire oscillator by manipulation and spectral shapin...

Due to the fundamental solutions are employed as basis functions, localized method of solution can obtain more accurate numerical results than other methods in homogeneous problems. Since inverse Cauchy problem is ill posed, a small disturbance will lead great errors simulations. More needed problem. In this work, LMFS firstly proposed analyze inhomogeneous The recursive composite multiple reci...

The few-fermion atomic gas is an ideal setting to explore inhomogeneous superfluid pairing analogous to the Larkin-Ovchinnikov state. Two up and one down-spin atom is the minimal configuration that displays an inhomogeneous pairing density, whereas imbalanced systems containing more fermions present a more complex pairing topology. With more than eight atoms trapped the system approaches the ma...

background: to enhance the dose to tumor, the use of high atomic number elements has been proposed. objective: the aim of this study is to investigate the effect of gold nanoparticle distribution on dose enhancement in tumor when the tumor is irradiated by typical monoenergetic x-ray beams by considering homogeneous and inhomogeneous distributions of gold nanoparticles (gnps) in the tumor. meth...

Using the multi-parametric deformation of the algebra of functions on GL(n + 1) and the universal enveloping algebra U (igl(n+ 1)), we construct the multi-parametric quantum groups IGLq(n) and Uq (igl(n)). The quantization of inhomogeneous groups is not well stablished. These non-semisimple groups are important, both from a purely mathematical point of view , and also because one of the most im...

We investigate an experimentally feasible synthetic genetic network consisting of two phase repulsively coupled repressilators, which evokes multiple coexisting stable attractors with different features. We perform a bifurcation analysis to determine and classify the dynamical structure of the system. Moreover, some of the dynamical regimes found, such as inhomogeneous steady states and inhomog...