Asymptotic Behavior in Grain Growth

Asymptotic Behavior of a Delay Differential Neoclassical Growth Model

A neoclassical growth model is examined with a special mound-shaped production function. Continuous time scales are assumed and a complete steady state and stability analysis is presented. Fixed delay is then assumed and it is shown how the asymptotic stability of the steady state is lost if the delay reaches a certain threshold, where Hopf bifurcation occurs. In the case of continuously distri...

Asymptotic behavior of growth functions of D0L-systems

A D0L-system is a triple (A,σ,w) where A is a finite alphabet, σ is an endomorphism of the free monoid over A, and w is a word over A. The D0L-sequence generated by (A,σ,w) is the sequence of words (w, σ(w), σ(σ(w)), σ(σ(σ(w))), . . . ). The corresponding sequence of lengths, i.e, the function mapping each integer n ≥ 0 to |σn(w)|, is called the growth function of (A,σ,w). In 1978, Salomaa and ...

Asymptotic behavior of ACMA

The algebraic constant modulus algorithm (ACMA) is a noniterative blind source separation algorithm. It computes jointly beamforming vectors for all constant modulus sources as the solution of a joint diagonalization problem. In this paper we analyze its asymptotic properties and show that (unlike the iterative CMA) it converges to the Wiener solution in samples or SNR. We also sketch its conne...

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

Asymptotic Behavior Results for Nonlinear

This paper is focused on the following nonlinear impulsive neutral differential equation k 0 t t , t t 0, (t))) f(x(γ t q(t) (t))) f(x(β t p(t) ] t))) c(t)g(x(α([x(t) ≠ ≥ = − + ′ + 1,2,3,... k , f(x(s))ds s (s)) q(γ f(x(s))ds s (s)) p(β) a (1) x(t a) x(t k k k k t) γ(t 1 t) β(t 1 k k k k Sufficient conditions are obtained for every solution of (*) to tends to a constant as t → ∞.