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.
The 5th International Workshop on Chaos-Fractals Theories and Applications (IWCFTA 2012) will be held on 18th - 21st October 2012. In the past, four workshops were successfully held in Zhangjiajie, Shenyang, Kunming and Hangzhou, China, respectively. Now, we organize the fifth one to bring together leading researchers and experts worldwide to Dalian, China. As in previous workshops, the main purpose...
Summary form only given, as follows. In this keynote speech, the contents will contain three mutually joined parts, namely introducing a novel approach joining evolutionary dynamics, complex networks and CML systems exhibiting chaotic behavior. The first part will discuss a novel method on how dynamics of evolutionary algorithms can be visualized in the form of complex networks. An analogy between...
Summary form only given. This talk will review our recent study on mathematical theory of complex systems modelling and its wide-ranging transdisciplinary applications in science and technology from the viewpoint of mathematical engineering and chaos engineering. We aim not only to systematize methodology for mathematically modelling complex systems on the basis of complex networks theory, control...
Summary form only given. In this survey an attempt is made to reflect the current trends in the synthesis of analytical and numerical methods to develop efficient analytical-numerical methods, based on harmonic linearization, applied bifurcation theory and numerical methods, for searching hidden oscillations.
Summary form only given, as follows. Over the past half century, the world has witnessed the rapid development of Chaos theory. Chaos has penetrated into almost every science and engineering field, and its application has shown the tremendous vitality in many aspects. Recently, researchers have turned their close attention from the simple chaos to the chaos that have more complicated nonlinear dynamics,...
Summary form only given, as follows. In recent more than 30 years, to illustrate the complex degree of a discrete system, some authors have defined chaos from various angles. In order reveal the essences of chaos, it is necessary to clear the relations between district notions of chaos. In this brief survey, we relate to topological chaos, Li-Yorke chaos, Devaney chaos, distributional chaos and (topological)...
Summary form only given, as follows. The casino game of roulette consists of a large spinning disk with many numbered pockets situated in a static frame. A small ball is sent spinning around the rim of the circular static frame and will eventually come to rest in one of the numbered pockets. Wagers are made on which. Essentially, this game is deterministic and bets can (usually) be made after the...
In this paper, the authors get a common fixed point theorem for a sequence of mappings admitting intuitionistic fuzzy contractive conditions defined on intuitionistic fuzzy metric spaces.
In this paper, a Cauchy problem for two-dimensional Lap lace equation in the strip is considered. This is a classical severely ill-posed problem. Connecting Shannon wavelet bases with a spectral integral of the Hermitian operator, we can obtain a regularized solution. Moreover, some sharp stable estimates between the exact solution and it's approximation is also provided.
We consider the nonhomogeneous problem $u_{xx}(x, t)=u_{t}(x, t)+ f(x, t), 0 \leq x 0, where the Cauchy dta g(t) is given at x = 1. This is an ill-posed problem in the sense that a small disturbance on the boundary g(t) can produce a big alteration on its solution (if it exists). In this paper, we shall define a Meyer wavelet solution to obtain well-posed solution in the scaling space Vj. We shall...
In this paper, we introduce the delayed shift on a one-sided symbolic space (with two symbols) and prove that the delayed shift has some complex dynamical properties. In addition, through the method of construction, we prove that there exists an uncountable subset of the one-sided symbolic space such that the restriction of the delayed shift on the subset is distributively chaotic.
To estimate the ultimate bound and positively invariant set of a dynamic system is an important but quite challenging task. This paper is concerned with the ultimate bounds and positively invariant sets for a system describing the laser-plasma interaction. Based on generalized positive definite and radially unbound Lyapunov functions with respect to the parameters of the system, we derive some new...
In this paper an operable, universal and simple theory on the attractiveness of the invariant manifolds of the two-dimensional dynamical systems is first obtained. It is motivated by the Lyapunovdirect method. It means that for any point in the invariant manifold $M$, $n(\overrightarrow{x})$ is the normal passing by $\overrightarrow{x}$, and $\for all \overrightarrow{x^{'}}\in n(\overrightarrow{x})$,...
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.