TL;DR: This work considers nonlinear extensions of Granger's idea and proposes a conditional extended Granger causality measure that enables us to determine whether the causal relation between two signals is direct or mediated by another process.
TL;DR: A protocol of multiparty secret sharing of quantum information based on entanglement swapping is analyzed and it is convenient to realize the quantum secret sharing among the members of any subset of users.
TL;DR: In this article, the analytical series solutions of the Schrodinger equation with position-dependent mass for the Morse potential are obtained by the series expansion method, and the position dependent mass themselves are expanded in the series about the origin.
TL;DR: In this paper, thermal and electrical transport properties of multi-walled carbon nanotubes (MWNTs) were investigated using pulsed photothermal reflectance and the two-terminal I-V methods.
TL;DR: In this paper, the propagation of longitudinal and transverse elastic waves oblique or perpendicular to the laminations of infinite periodically layered fourfold system is studied for one-dimensional phononic crystals with locally resonant structures.
TL;DR: In this article, a general concept for subdiffraction imaging and writing with focused light and conventional optics is described, which is unique in the fact that the giant optical nonlinearities required for breaking the diffraction barrier are realized at low light intensities.
TL;DR: In this paper, a new formulation of eigenproblem for phononic crystals is developed and the convergence of the new formulation in the band-structure calculations is examined in detail and compared with that of the conventional plane wave expansion (CPWE) method.
TL;DR: In this paper, the global stability of delayed fuzzy cellular neural networks with either constant delays or time varying delays is investigated and a suitable Lyapunov functional is constructed to guarantee the global exponential stability.
TL;DR: In this article, the synchronization of different order systems or reduced-order synchronization is studied, and the proposed strategy is an input-output control scheme which comprises an uncertainty estimator and an exponential controller.
TL;DR: In this article, the probability of electron-positron pair creation by a focused laser pulse is calculated using a 3D model of the electromagnetic field based on an exact solution of Maxwell equations.
TL;DR: In this paper, an approach of adaptive synchronization and parameters identification of uncertain Rossler hyperchaotic system is proposed, which proves to be globally and asymptotically stable by means of Lyapunov method.
TL;DR: Based on a suitable separation of chaotic systems, Lyapunov stability theory and matrix measure, the complete synchronization and anti-synchronization for chaotic systems are investigated in this paper.
TL;DR: In this paper, the periodic wave solutions for a class of nonlinear partial differential equations, including the Davey-Stewartson equations and the generalized Zakharov equations, are obtained by using the Fexpansion method, which can be regarded as an overall generalization of the Jacobi elliptic function expansion method recently proposed.
TL;DR: In this article, a robust global exponential stability analysis for interval recurrent neural networks (RNNs) via the linear matrix inequality (LMI) approach is proposed. But the authors assume that the values of the time-invariant uncertain parameters are bounded within given compact sets.
TL;DR: In this article, it was shown that the nonperturbative vacuum structure associated with neutrino mixing leads to a non-zero contribution to the value of the cosmological constant.
TL;DR: In this paper, the existence and global exponential stability of periodic solution for Hopfield-type model of neural network with impulses was studied. And the continuation theorem of coincidence degree theory and Lyapunov functions were used to study the existence of periodic solutions.
TL;DR: In this paper, the authors investigated the optical bistability behavior of a nearly equispaced ladder-type three-level atomic system contained in a unidirectional ring cavity and found that the effect of spontaneously generated coherence (SGC) is important.
TL;DR: In this paper, the second-order differential equation about the one-dimensional Schrodinger equation with the Morse potential was reduced to the first order differential equation in terms of Laplace transforms and then obtained the exact bound state solutions.
TL;DR: The phononic band structures of two-dimensional solid phononic crystals consisting of lattices with different symmetry and scatterers of various shapes, orientations, and sizes are studied numerically in this paper.
TL;DR: In this paper, a higher order curvature gravity has recently received a lot of attention due to the fact that it gives rise to cosmological models which seem capable of solving dark energy and quintessence issues without using “ad hoc” scalar fields.
TL;DR: In this article, a general view of discontinuous structural phase transition of liquid metal and alloys induced by the temperature is presented based on the viscosity analyses for more than ten kinds of liquid metals.
TL;DR: In this article, the authors describe the nonlinear evolution and saturation of tearing modes in the small magnetic island width limit by a new approach which is rigorous, simple, and accurate within the usual asymptotic matching technique, a new scaling ansatz avoids the use of the traditional j=j(ψ) approach, and reduces the non-linear problem to an elementary linear one.
TL;DR: In this article, an optimal control strategy that directs the chaotic motion of the Rossler system to any desired fixed point is proposed, and the chaos control problem is then formulated as an infinite horizon optimal control nonlinear problem that was reduced to a solution of the associated Hamilton-Jacobi-Bellman equation.
TL;DR: Based on the Lyapunov-Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) technique, some delay-dependent criteria for interval neural networks (IDNN) with multiple time-varying delays are derived to guarantee global robust asymptotic stability.
TL;DR: In this paper, the exact energy equation for s-wave bound states was obtained by solving the Klein-Gordon equation with equal five-parameter exponential-type scalar and vector potentials by the method of supersymmetric quantum mechanics and shape invariance.
TL;DR: In this paper, the authors investigated the compositional dependence of magnetic entropy change in Ni2+xMn1−xGa Heusler alloys and revealed the largest entropy change ΔS=20.7±1.8 T was revealed in the Ni2.18Mn0.82Ga alloy at a magneto-structural phase transition temperature of Ts=333.2 K.
TL;DR: In this article, the scaling of the relaxation time to equipartition in the Fermi-Pasta-Ulam model was investigated with numerical methods and it was shown that the time increases exponentially with an inverse power of the specific energy.
TL;DR: In this article, the Cr7C3 phase was studied by means of ab initio calculations and found covalent-ionic Cr-C-Cr chains in a metallic matrix, and the structure of thin films, synthesized by RF magnetron sputtering, was shown to be in good agreement with the theoretical prediction.
TL;DR: In this article, an observer-based control approach is proposed for generating and manipulating projective synchronization of a general class of chaotic maps in any dimension, overcomes some limitations in extent work, capable to execute the control for chaotic systems without restriction of partial linearity, achieve a full-state synchronization and manipulate the outcome of the synchronization by directing the scaling factor.
TL;DR: In this paper, the eigenfunctions and eigenvalues of the Schrodinger equation with a ring-shaped non-spherical oscillator are obtained, and a realization of the ladder operators for the radial wave functions is studied.