A number of masking phenomena can be modeled in terms of a linear auditory filter bank followed by a temporal integrator and a simple decision device based on the signal-to-masker ratio. Other aspects require the inclusion of a nonlinearity following linear filtering. The present article concentrates on aspects of non-simultaneous, or “temporal”, masking that cannot be explained by either model...

We present two uniformly and optimally accurate numerical methods for discretizing the Zakharov system (ZS) with a dimensionless parameter 0 < ε ≤ 1, which is inversely proportional to the acoustic speed. In the subsonic limit regime, i.e. 0 < ε ≪ 1, the solution of ZS propagates waves with O(ε)and O(1)-wavelength in time and space, respectively, and/or rapid outgoing initial layers with speed ...

Directional selectivity, in which neurons respond preferentially to one "preferred" direction of movement over the opposite "null" direction, is a critical computation that is found in the central nervous systems of many animals. Such responses are generated using two mechanisms: spatiotemporal convergence via pathways that differ in the timing of information from different locations on the rec...

This paper investigates the adaptive finite-time stabilization of a class of switched nonlinear systems with unknown nonlinear terms using neural networks. Under the assumption that all the growth conditions for the unknown nonlinear perturbation functions are partially known, the common finitetime controller and adaptive law are constructed by extending the adding-a-power-integrator technique ...

This paper presents an analytical model and a geometric numerical integrator for a tethered spacecraft model that is composed of two rigid bodies connected by an elastic tether. This high-fidelity model includes important dynamic characteristics of tethered spacecraft in orbit, namely the nonlinear coupling between tether deformations, rigid body rotational dynamics, a reeling mechanism, and or...

We provide new existence and uniqueness results for the discrete-time Hamilton (DTH) equations of a symplectic-energy-momentum (SEM) integrator. In particular, we identify points in extended-phase space where the DTH equations of SEM integration have no solution for arbitrarily small time steps. We use the nonlinear pendulum to illustrate the main ideas. 1 Background Is symplectic-energy-moment...

We present Lie group integrators for nonlinear stochastic differential equations with non-commutative vector fields whose solution evolves on a smooth finite dimensional manifold. Given a Lie group action that generates transport along the manifold, we pull back the stochastic flow on the manifold to the Lie group via the action, and subsequently pull back the flow to the corresponding Lie alge...

We present Lie group integrators for nonlinear stochastic differential equations with non-commutative vector fields whose solution evolves on a smooth finite dimensional manifold. Given a Lie group action that generates transport along the manifold, we pull back the stochastic flow on the manifold to the Lie group via the action, and subsequently pull back the flow to the corresponding Lie alge...

A fully discrete and explicit low-regularity integrator is constructed for the one-dimensional periodic cubic nonlinear Schrödinger equation. The method can be implemented by using fast Fourier transform with \(O(N\ln N)\) operations at every time level, proved to have an \(L^2\)-norm error bound of \(O(\tau \sqrt{\ln (1/\tau )}+N^{-1})\) \(H^1\) initial data, without requiring any CFL conditio...

This paper presents a novel form of feedback linearization control (FBL) boost-type DC/DC converter: to reach highly accurate output voltage control. Integral action has been inserted into the block diagram scheme. The state-space model boost converter is nonlinear. Accordingly, design procedure controller more complex. modeling and details nonlinear FBL step by step. main goal this highlight i...