The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
This paper addresses a problem of finding an optimal dynamic quantizer for nonlinear control subject to discrete-valued signal constraints. The quantizers to be studied are in the form of a nonlinear difference equation and are evaluated by the performance index expressing the difference between the resulting quantized system and the usual (unquantized) system. To solve the problem, we first derive...
This paper investigates the criteria for the existence of protein level oscillations in a class of gene regulatory networks, where a nonlinear differential equation model is considered to analyze its dynamical behavior. There are two steps to derive such criteria: We first employ a Poincare??-Bendixson type theorem to restrict the class of solution trajectories, and then carry out a local stability...
This paper presents feedback control laws for pursuing and catching a fly ball by taking Chapman's hypothesis into the closed-loop system connecting perceptions and actions. Through the analysis of the closed-loop system, we make it clear that the hypothetical trajectory Chapman showed is a special dynamic solution of the closed-loop system. Moreover, using a motion-analyzing technique over a finite...
In this paper, a uniform construction of exact travelling wave solution was obtained by taking advantage of the modified Riccati equation .And two models were presented to show a wide applicability for handling nonlinear wave equations In this paper, a uniform construction of exact travelling wave solution was obtained by taking advantage of the modified Riccati equation. And two models were presented...
PDE-based (partial differential equations) image inpainting is an important research topic in the area of image restoration. Its objective is restore the lost information according to around image information in a way that looks natural for the eye. In this paper, guided by the an isotropic diffusion principle and the connectivity principle of human visual perception, we put forward a novel nonlinear...
In this paper, an introduction of chaos is firstly present. The subject matter selected for this part of the paper is given with emphasis on analysis of chaotic characteristic of radar echoes from the one dimensional rough sea surface. Based on the time series of radar echoes, the problems which are involved in the reconstruction of chaotic dynamics, calculation of correlation dimension and the largest...
This paper aims at utilizing the dynamic behavior of artificial neural networks to solve nonlinear multilevel programming (MLP) problems. Across complementarily slackness conditions base on entropic regularization, the optimization problem is converted into a system of nonlinear differential equations through use of an energy function and Lagrange multipliers. To solve the resulting differential equations,...
A constrained-backpropagation (CPROP) training technique is presented to solve partial differential equations (PDEs). The technique is based on constrained optimization and minimizes an error function subject to a set of equality constraints, provided by the boundary conditions of the differential problem. As a result, sigmoidal neural networks can be trained to approximate the solution of PDEs avoiding...
We approach the problem of fiber tractography from the viewpoint that a computational theory should relate to the underlying quantity that is being measured - the diffusion of water molecules. We characterize the Brownian motion of water by a 3D random walk described by a stochastic non-linear differential equation. We show that the maximum-likelihood trajectories are 3D elastica, or curves of least...
In this paper,a generalized auxiliary equation method is used for constructing new periodic wave solutions for nonlinear Kundu equation with five order stronger nonlinear terms arising in mathematical physics. As a result, many exact traveling wave solutions are successfully obtained, including solitary solution, trigonometric function solutions, Weierstrass elliptic function solutions.ect. The method...
In this paper, a novel analytical method (DTM-Pade) is proposed for solving nonlinear differential equations, especially for boundary-layer and natural convection problems. This method is based on combination of the differential transform method and the Pade approximant that we use for solve the thermal boundary-layer over a flat plate with a convective surface boundary condition. This technique is...
In this paper, a new family of combined iterative methods for the solution of nonlinear equations is presented.The new family of methods is based on Newton's method and the family of sixth-order iterative methods developed by Chun. Per iteration the new methods require three evaluations of the function and two evaluations of its first derivative. Numerical tests show that it takes less number of iterations...
A new method for generating message authentication code with secret key HMAC is presented in this paper. 3-D chaotic Rossler System is used to generate the initial MASK, which is some kind of aliases used to achieve anonymity for the real sub-messages. Analysis study proved that HMAC is free of collision hash MAC, and has high sensitivity to key-ciphertext, plaintext-ciphertext, error propagation...
We present some modified Newton-type methods for solving nonlinear equations. These algorithms are free from second derivatives and permit f'(x) = 0 in some iteration points. The convergent analysis demonstrates that the order of convergence and the efficiency index of the present methods are better than that of the classical Newton's method. Some numerical examples are given to illustrate their efficiency...
In this paper, we derive an existence condition of periodic oscillations in cyclic gene regulatory networks, of which the dynamical behavior is described by nonlinear differential equations. For this purpose, we first point out that change of the equilibrium point with respect to biochemical parameters is important for comprehensive analysis, and show the properties which the equilibrium point should...
This paper derives a tip position controller for a two link planar flexible manipulator based on the dynamic extension technique and the potential energy shaping technique. Dynamics of the manipulator being described by a set of non-linear ordinary and partial differential equations is expanded by connecting an external system that has its own dynamics and generalized coordinates. Then the potential...
The studying models of complex diffusion PDEs have potential meaning in representing a sophisticated process of real world and have a lot of use in practice. In this paper we propose a two layer CNN - 2D structure for image edge enhancing and denoising by complex nonlinear diffusion. In the first part of this paper, complex PDEs and CNN's architectures are briefly presented. In the second part the...
In this paper we study the globally asymptotic stability of the equilibrium point for the nonlinear difference equation xn+1= (axn-lxn-k)/(bxn-s + cxn-t), n = 0, 1, hellip, where the initial conditions x-r, x-r+1, hellip , x1, x0 are arbitrary positive real numbers. l, k, s, t are nonnegative integers, r = max{l, k, s, t}, and a, b, c are positive constants. Finally, some numerical simulations are...
A fundamental problem in systems biology consists of determining the equilibrium points of genetic regulatory networks, since the knowledge of these points is often required in order to investigate important properties such as stability. Unfortunately, this problem amounts to computing the solutions of a system of nonlinear equations, and it is well known that this is a difficult problem as no existing...
This paper considers a dissipative system of nonlinear ordinary differential equations proposed by A. M. Rucklidge to describe a process of double convection. Unlike the work of G. Chen, in which he made an attempt to classify, grounding on known L. P. Sil'nikov's theorems, the whole variety of chaotic systems including the Rucklidge system, we demonstrate a new view on the process of transition to...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.