*Correspondence: [email protected] 1College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai, 201620, P.R. China Full list of author information is available at the end of the article Abstract This paper investigates the lag projective synchronization and anti-synchronization problems for a general master-slave chaotic system with bounded nonlinearity. An adaptive cont...

where Ω is a smooth bounded domain in R, n 2, and gi(x, u, v) : Ω̄×R×R → R, i = 1, 2, are differentiable functions subject to further restrictions to be named below. We assume that gi(x, u, v), i = 1, 2, satisfy suitable conditions on a bounded rectangle so that a positive strict lower solution pair and a positive strict upper solution pair can be constructed. These assumptions suffice to prove ...

We consider the regularity of the extremal solution of the nonlinear eigenvalue problem (S)λ  −∆u + c(x) ·∇u = λ (1−u)2 in Ω, u = 0 on ∂Ω, where Ω is a smooth bounded domain in R and c(x) is a smooth bounded vector field on Ω̄. We show that, just like in the advection-free model (c ≡ 0), all semi-stable solutions are smooth if (and only if) the dimension N ≤ 7. The novelty here comes from the l...

A dynamics inversion compensation scheme is designed for control of nonlinear discretetime systems with input backlash. The compensator uses the dynamic inversion technique, with a neural network (NN) for inverting the backlash nonlinearity in the feedforward path. The technique provides a general procedure for using NN to determine the dynamics preinverse of an invertible discrete time dynamic...

Abstract We prove that the Dirichlet problem for Lane–Emden equation in a half-space has no positive solution is monotone normal direction. As consequence, this does not admit any classical bounded on finite strips. This question long history and our result solves long-standing open problem. Such nonexistence was previously available only solutions or under restriction power nonlinearity. The e...

We consider a jump-diffusion process describing a system of diffusing particles that upon contact with an obstacle (catalyst) die and are replaced by an independent offspring with position chosen according to a weighted average of the remaining particles. The obstacle is a bounded nonnegative function V (x) and the birth/death mechanism is similar to the Fleming-Viot critical branching. Since t...

A dynamics inversion compensation scheme is designed for control of nonlinear discrete-time systems with input backlash. This paper extends the dynamic inversion technique to discrete-time systems by using a filtered prediction, and shows how to use a neural network (NN) for inverting the backlash nonlinearity in the feedforward path. The technique provides a general procedure for using NN to d...

Measurement of integral non-linearity (INL) and differential non-linearity (DNL) of an A/D converter using the histogram method incurs large test time. This test time can be a significant percentage of the total test time, especially for high resolution and low sampling-speed A/D converters. This paper describes a test methodology for measuring the INL and DNL specifications of A/D converters b...

in this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. thena relation between totally fuzzy bounded sets and n-compactness is discussed.finally, a geometric characterization for fuzzy totally bounded sets in i- topologicalvector spaces is derived.

This paper presents a combined numerical-theoretical study of the macroscopic behavior and local field distributions in a special class of two-dimensional periodic composites with viscoplastic phases. The emphasis is on strongly nonlinear materials containing pores or rigid inclusions. Full-field numerical simulations are carried out using a Fast-Fourier Transform algorithm [H. Moulinec, P. Suq...