In this paper we demonstrate the capability of method Lagrangian descriptors to unveil phase space structures that characterize transport in high-dimensional symplectic maps. order illustrate its use, apply it a four-dimensional map model is used chemistry explore nonlinear dynamics van der Waals complexes. The advantage technique allows us easily and effectively extract invariant manifolds det...

Sequential change point tests aim at giving an alarm as soon possible after a structural break has occurred while controlling the asymptotic false rate. For such it is of particular importance to understand how quickly detected. In this paper, we derive distribution delay times for sequential procedures based on U-statistics. This includes difference-of-means (DOM) test that been discussed prev...

The preparation of LiF targets on a self-supporting Ag backing (LiF/Ag) was discussed in detail using the vacuum evaporation process. fabricated were analyzed and efficiently characterized, with target thickness measured by energy loss alpha particles through target. estimated ∼0.63±0.09μm. non-uniformity thoroughly checked help collimator, within 6.50 %. surface morphology elemental compositio...

In this paper, we study a partial integral differential equation with p-Laplacian using mixed finite element method. Two stable and convergent fixed point schemes are proposed to solve the nonlinear algebraic system. Using implementation of method in Matlab environment, numerically analyse convergence an example. Some other examples, which illustrate several asymptotic behaviours some localizat...

We study the convergence properties of two-dimensional Rigorous Coupled Wave Approach (RCWA) for p-polarized monochromatic incident light. The RCWA is a semi-analytical numerical method that widely used to solve boundary-value problem scattering by grating. approach requires expansion all electromagnetic field phasors and relative permittivity as Fourier series in spatial variable along directi...

We prove that the trace of Hecke operator $T_2$ acting on vector space cusp forms level one takes no repeated values, except for 0, which only occurs when is trivial.

A new robust feedback controller for the safety factor profile and poloidal plasma pressure parameter has been developed using a two-time-scale data-driven model. The model describes linear responses of ι βp with respect to auxiliary heating & current drive (H&CD) powers, around typical equilibrium in an H-mode steady-state discharge on EAST. comprises carefully designed low-pass filter timesca...

We consider coupled weakly birefringent cavities filled-in with nonlinear Kerr material and subject to linearly polarized optical injection. Light propagation in such a system is described by of discrete Lugiato–Lefever-type equations for each linear polarization component the electric field into cavity, cross-phase modulation terms neighboring waveguides overlap integrals. demonstrate that thi...

The time integration of stiff systems Ordinary Differential Equations (ODEs), usually arising from the spatial discretization Partial (PDEs), constitutes a hot topic in numerical analysis. In particular, exponential-type integrators have attracted much attention for their capacity to effectively handle stiffness, allowing with large steps. efficiency strongly relies on fast computation action e...

The description of TiO2 synthesis in TiCl4-seeded flames is most often based on phenomenological models that qualitatively reproduce experimental trends terms final production but they do not provide chemical insights into the actual kinetic pathways. Alternatively, thermodynamically-consistent detailed TiCl4 oxidation kinetics are available. However, since have been developed under dry conditi...