During this last decade, nonlinear analyses have been used to characterize the irregularity that exists in the neuronal data stream of the basal ganglia. In comparison to linear parameters for disparity (i.e., rate, standard deviation, and oscillatory activities), nonlinear analyses focus on complex patterns that are composed of groups of interspike intervals with matching lengths but not neces...

In this paper, the influence of aggregate size and volume fraction on shrinkage induced micro-cracking and permeability of concrete and mortar was investigated. Nonlinear finite element analyses of model concrete and mortar specimens were performed. The aggregate diameter was varied between 2 and 16 mm. Furthermore, a range of volume fractions between 0.1 and 0.5 was studied. The nonlinear anal...

The behaviour of a scalar optical beam at the boundary between two dissimilar nonlinear media is of fundamental interest in nonlinear photonics. Here, we report the first systematic generalization of our Kerr analyses to a wider class of power-law materials. Universal refraction laws will be given, and theorysimulation agreement demonstrated.

In achieving accurate results, current nonlinear elastic recovery applications of finite element (FE) analysis have become more complicated for sheet metal springback prediction. In this paper, an artificial neural network (ANN) was used to mimic the nonlinear elastic recovery and provides a generalized solution in the FE analysis. The nonlinear elastic recovery was processed through back-propa...

Nonlinear dynamic tools have been statistically validated at the group level to identify subtle differences in system wide regulation of brain meso-circuits, often increasing clinical sensitivity over conventional analyses alone. We explored the feasibility of extracting information at the single-subject level, illustrating two pairs of healthy individuals with psychological differences in stre...

This paper presents a comparison of critical loads for trusses, calculated by linear and nonlinear stability analysis. Analyses are provided by using finite elements method. In linear case, critical load is extracted from derived algebraic eigenvalue problem. In case of nonlinear analysis, critical load is determined by construction of postbuckling equilibrium path. Numerical examples for chara...

High-fidelity modeling of nuclear reactors requires the solution of nonlinear coupled multi-physics stiff problems with widely varying time and length scales that need to be resolved correctly. A numerical method that converges the implicit nonlinear terms to a small tolerance is often referred to as nonlinearly consistent (or tightly coupled). This nonlinear consistency is still lacking in the...

The paper analyses the operation of PT Bragg gratings when the dielectric material is considered to be both dispersive and nonlinear and gain and loss are saturable. The paper demonstrates the application of the nonlinear PT Bragg Grating as an optical logic gate and an optical switch.

Most high-level sensory neurons have complex, nonlinear response properties; a comprehensive characterization of these properties remains a formidable challenge. Recent studies using complex sensory stimuli combined with linear and nonlinear analyses have provided new insights into the neuronal response properties in various sensory circuits.

The F/A-18 Hornet aircraft with the original flight control law exhibited an out-ofcontrol phenomenon known as the falling leaf mode. The falling leaf mode went undetected during the validation and verification stage of the flight control law. Several F/A-18 Hornet aircraft were lost due to the falling leaf mode which led to the redesign of the lateral-directional axis of the flight control law...