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The global financial crisis has brought the adverse impact for the normal development of the world trade, and new trade protectionism led by the United States is prevalent, the export trade of China has been seriously affected. The paper has made the research of the issue of Chinese net export trade with the application of the non-linear dynamics. By constructing the non-linear dynamics model of the...
Traditional algorithm in Community identification take full advantage of vertex. But in these algorithms, node's aggregation characteristics are not obvious and the quantity of communities is not reasonable. The edge of the spectral decomposition algorithm (ESDA) is different from traditional method for community partition. There are four steps in ESDA: first, we translate the origin graph into line...
In this paper, the dynamic complexity of a three-species ecological system with the Beddington-DeAngelis functional response is studied by using Lyapunov exponents, and bifurcation diagrams. Furthermore, the effects of intraspecies density dependence (IDD) on the dynamics of the model are investigated. It has been found that the addition of IDD to a three-species ecological model stabilizes the system,...
This paper proposes the chaos-genetic algorithm (CGA) based on the cat map in order to optimize a multidimensional and multimodal non-linear cost function for the seismic wavelet. The algorithm uses the initial sensitivity of the cat map to expand the scope of the search, and uses the ergodicity of the cat map to search the chaotic variables. Thus, reduces the data redundancy, maintains the diversity...
Anti-synchronization of two identical chaotic systems with unknown parameters and unknown parameters identification are discussed. A chaotic system with unknown parameters is considered as master system, and a slave system containing the estimated values of unknown parameters of the master system is constructed. We design some controllers consisting of adaptive controller and the update law of estimation...
In this paper we study a class of subsets of self-affine carpets which are indexed by fibre-coding, but their limiting frequencies have nonlinear relation. We obtain their Hausdorff dimension spectrum and give the necessary and sufficient conditions of these fractal sets to be s-set.
In this paper we present general Julia sets of non-analytic families z??n+ c (n 3 2), we also propose some properties of these general Julia sets. Moreover, by iterated function systems theory, we give out two estimations of Hausdorff dimension of these general Julia sets when |c| is sufficient large or sufficient small.
In this paper we establish a general swarm model with time delays under disturbances for the quadratic attractant/repellant profiles. It is proved that the swarm members will converge and form a cohesive cluster around the center in a finite time under certain conditions in the presence of communication delays and disturbances. For quadratic attractant/repellant profiles, all the swarm members will...
Fractal Pattern Art is the unification of the perfect science and art. The article mainly explores the specific application of the art which contains esthetic and useful value in the modern visual art-Fashion Design. Several aspects such as the fabric, the color, the structure and the pattern in Fashion Design are analyzed respectively in the attempt to mature supporting of theory and technology that...
This paper investigates the fractional order synchronization of a new hyperchaotic system. Based on the Lyapunov stability theorem, a new type of Lyapunov function is designed to assure the stability of the closed system, and a large number of synchronization methods can received through the different selected fractional order. The feasibility and effectiveness of the proposed hyperchaotic system's...
The thesis proposes and demonstrates that the general form of the fractal of enterprises is a double-module system which combines standard module and differentiated module; the self-similarity of such double-module structure is an example of institutional convergence, and its dual motivation consists of both factors of economic competition and non-economic social system; its forming mechanism is legitimacy,...
The clustered objects in nature are often fractal. Oil-gas reservoir's distribution in space is inhomogeneous, always occurs in groups. Therefore, in this paper, we use the theory of Fractal Geometry and Nonlinear Regression method to estimate the unproved oil and gas resources in the study area. As the steps of using Fractal Geometry to predict the oil and gas resources is complex and involve not...
Power quality disturbance (PQD) identification is an important technology in power system especially when power market is realized. The producers of PQD are different which result in the difference of abnormity and complexity. Fractal dimension is a mean to characterize the abnormity and complexity of PQD and it is potential for PQD identification. Traditional fractal box counting dimension is based...
The crack characteristics of polypropylene concrete and plain concrete are investigated in the SHPB test. The relation between the character on the Crack Surface of Concrete and material properties and the impact pressure is analyzed. Also the multifractal characteristics are given on the Crack Surface of Concrete. The crack distributions of steel fiber reinforced concrete and polypropylene concrete...
The general quaternion Mandelbrot sets (abbreviated as M sets) with the additive and multiplicative dynamic noise perturbations are constructed. The topology structures and the fission evolutions of the M sets are investigated, and the boundaries the stability regions are calculated. Plenty of experiments and analysis indicate that the additive dynamic noise makes M sets displace from the original...
Modeling Internet topology is necessary for analyzing of network characteristics for the large and even growing network size. For example, the evolution of network structure and node attributes in the network is a key issue for us to understand the network properties and to design appropriate internetworking technology. In this paper, we define ??favorability degree?? to quantity the attributes of...
This paper employs a novel hybrid numerical method combining the differential transformation method and the finite difference method to study the bifurcation and chaotic behavior of a flexible rotor supported by a relative short spherical air bearing (RSSAB) system. The analytical results reveal a complex dynamic behavior comprising periodic, sub-harmonic, quasi-periodic, and chaotic responses of...
In this paper, we investigate dynamical complexity of general planar piecewise isometries. We reveal the relations between the complexity and the admissible finite words generated by a planar piecewise isometry, and present the necessary and sufficient conditions for the complexity to be zero. Furthermore, we give equivalent statements for the complexity to be not less than 1, and also discuss some...
In order to accurately make out early fault diagnosis of rotor system with weak signal, a novel fault diagnosis method based on empirical mode decomposition(EMD) associated with chaos oscillator was presented. Weak periodic signals can be detected by identifying the transformation of the chaotic oscillator from the chaotic state to the large-scale periodic state when a weak external periodic signal...
Past rodent population dynamics studies by some ecologists are often limited to the analysis and prediction about linear system. In the process of long-term population dynamics study of the dominant rodent species in North China Plain, we found the density change is very complicated and often influenced by a series of ecological factors both intrinsic and extrinsic. In many cases the population dynamics...
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