In this paper we develop new methods for computing k-dimensional invariant manifolds of delayed systems for k ≥ 2. Our current implementation is built for k = 2 only, but the numerical and algorithmic challenges encountered in this case will be also present for any k > 1. For small delays, we consider methods for approximating delay differential equations (DDEs) with ordinary differential equat...

| Conventional speech recognition systems based on Multi Layer Percep-trons often use Time Delay Neural Networks (TDNN). TDNNs were rst used for speech recognition by Waibel et al., but long training times and large numbers of parameters that need careful adjustment make it hard to achieve good performance. In contrast, networks using Radial Basis Functions (RBF) can be constructed systematical...

since 2005 a new powerful invariant of an algebra has emerged using the earlier work of horvath, hethelyi, kulshammer and murray. the authors studied morita invariance of a sequence of ideals of the center of a nite dimensional algebra over a eld of nite characteristic. it was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modied version o...

Abstract Delay embedding is a commonly employed technique in wide range of data-driven model reduction methods for dynamical systems, including the dynamic mode decomposition, Hankel alternative view Koopman decomposition (HAVOK), nearest-neighbor predictions and to spectral submanifolds (SSMs). In developing these applications, multiple authors have observed that delay appears separate data in...

We discover that the energy-integral of time-delay is an adiabatic invariant in quantum scattering theory and corresponds classically to the phase space volume. The integral thus found provides a quantization condition for resonances, explaining a series of results recently found in non-relativistic and relativistic regimes. Further, a connection between statistical quantities like quantal reso...

Several strategies are described that overcome limitations of basic network models as steps towards the design of large connectionist speech recognition systems. The two major areas of concern are the problem of time and the problem of scaling. Speech signals continuously vary over time and encode and transmit enormous amounts of human knowledge. To decode these signals, neural networks must be...

We study collective choice when individuals have heterogeneous discounted utilitarian preferences. Two attractive properties of intertemporal preferences are indistinguishable for individuals, but have dramatically different implications for collective choice. Time Consistency requires a plan that is optimal at one evaluation date to be optimal at all later evaluation dates, while Time Invarian...

The nonlinear time-delay systems are considered and the limiting Behavior of their solutions is investigated. case in which have a trivial equilibrium that may not be an invariant set system studied. junction Lyapunov - Krasovskii Razumikhin approaches applied to obtain sufficient conditions for existence asymptotic quiescent position large. In when general has solution, new its stability obtai...

The objective of this study is to obtain the stabilizability conditions and a stabilizing composite state feedback control for exponential stabilization three-time-scale singularly perturbed linear time-invariant systems with multiple commensurate delays in slow variables two small parameters perturbation (TSPLTISD). do not depend on are valid all their sufficiently values. approach used work n...