this paper presents a comparison between variational iteration method (vim) and modfied variational iteration method (mvim) for approximate solution a system of volterra integral equation of the first kind. we convert a system of volterra integral equations to a system of volterra integro-di®erential equations that use vim and mvim to approximate solution of this system and hence obtain an appr...

We present a class of time-delay anisotropic diffusion models for image restoration. These models lead to asymptotic states that are selected on the basis of a contrast parameter and bear some analogy with neural networks with Hebbian dynamical learning rules. Numerical examples show that these models are efficient in removing even high levels of noise, while allowing an accurate tracking of th...

A mathematically simple example of a high-dimensional (many-species) Lotka-Volterra model that exhibits spatiotemporal chaos in one spatial dimension is described. The model consists of a closed ring of identical agents, each competing for fixed finite resources with two of its four nearest neighbors. The model is prototypical of more complicated models in its quasiperiodic route to chaos (incl...

A directional sound beam can be generated by a parametric loudspeaker system through the nonlinear interaction between finite-amplitude ultrasonic waves in air. However, this nonlinear interaction also produces harmonic components in addition to the desired audible sound. In order to investigate this nonlinear phenomenon, a baseband distortion model is developed from nonlinear system identifica...

Natural phenomena that are imaged using remote sensing satellite data can be reconstructed in 3-D. This process can be accomplished either by active or passive methods. The active methods interfere with the reconstructed phenomena, either mechanically or radiometrically. The radiometric methods reconstruct the 3-D from the reflected or backscattered information about the specific objects or phe...

Nonlinear adaptive filtering techniques are widely used for the nonlinearities identification in manny applications. This paper investigates the performances of the Volterra estimator by considering a nonlinear system identification application. The Volterra estimator parameters are compared with those of a linear estimator. For the nonlinear estimator, based on a second order RLS Volterra filt...

Perspectiveness of the Volterra series is determined by an e±cient solution to the problem of the model "adjustment" to the concrete object, i.e. a typical inverse identi ̄cation problem of the Volterra kernels by system responses to some test input disturbances. The approach known in the identi ̄cation theory that is based on introduction of test pulse-type disturbances turns out to be inapplica...