This book provides a bridge between finite and infinite dimensional control systems,
showing how methods that are classical for the scientific community working in one of these
areas can be useful to the other community. The book focuses on the controllability and …

Combination tones (CT's) produced by two‐tone stimuli (f1 and f2) at relatively low sound
levels contradict the classical view that auditory mechanics is an essentially linear process
that suffers significant percentage distortion only at high sound levels. CT level and phase …

Current tests for nonlinearity compare a time series to the null hypothesis of a Gaussian
linear stochastic process. For this restricted null assumption, random surrogates can be
constructed which are constrained by the linear properties of the data. We propose a more …

Simple relative curvature measures of nonlinearity are developed to measure the extent of
the nonlinearity in a model‐experimental design‐parameterization combination. We review
the geometric aspects of linear and nonlinear least squares and, using the geometric …

This paper considers two nonlinearity tests for stationary time series. The idea of Tukey's
one degree of freedom for nonadditivity test is generalized to the time series setting. The
case of concurrent nonlinearity is discussed in detail. Simulation results show that the …

It has been more than 10 years since the first electric field poled second-order nonlinear
polymers were reported. 1'2 During this period a wide variety of polymeric systems have
been formulated and investi-gated. Several reviews have been written concentrating …

A large second-order nonlinearity [χ^(2)~ 1? pm/V~ 0.2? χ22 (2) for LiNbO_3] is induced in
the near-surface (~ 4 μm) region of commercial fused-silica optical flats by a temperature
(250–325° C) and electric-field (E~ 5× 10^ 4 V/cm) poling process. Once formed, the …

Nonlinearity criteria for Boolean functions are classified in view of their suitability for
cryptographic design. The classification is set up in terms of the largest transformation group
leaving a criterion invariant. In this respect two criteria turn out to be of special interest, the …

In this essay l outline a theory of nonlinear texts and investigate some of its possible
implications for the practice of literary theory and criticism. A nonlinear text is an object of
verbal communication that is not simply one fixed sequence of letters, words, and sentences …

Procedures are presented for estimating critical powers for nonlinear optical processes in
single-mode fiber transmission systems. Crosstalk due to Raman gain in multiplexed
systems can appear at powers of a few mW. The effects of self-phase modulation and …