2,312 publications from this institution
Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in connection strengths. In addition, the information spreading through a complex network is often associated with time delays due to the finite speed of signal transmission over a distance. Hence, the weighted complex network with coupling delays have meaningful implications in real world, and resultantly gains increasing attention in various fields of science and engineering. Based on the theory of asymptotic stability of linear time-delay systems, synchronization stability of the weighted complex dynamical network with coupling delays is investigated, and simple criteria are obtained for both delay-independent and delay-dependent stabilities of synchronization states. The obtained criteria in this paper encompass the established results in the literature as special cases. Some examples are given to illustrate the theoretical results.
This paper shows that (1) there exists a topologically transitive NADS having two disjoint invariant periodic orbits with dense periodic points, which is finitely generated but not periodic; (2) there exists a topologically transitive non-finitely generated NADS having two disjoint invariant periodic orbits with dense periodic point, which is not sensitive. This answers positively the Open Problems 4.1 and 4.2 posed in [8].
This paper uses the skew tent map as a basic endomorphism to generate pseudo-random numbers of several familiar statistical distributions. For a special value of the parameter a in the skew tent map, we obtain the F-distribution and the Z-distribution in [Golubentsev & Anikin, 1998].
We propose a decoupling process performed in scale-free networks to enhance the synchronizability of the network, together with preserving the scale-free structure. Simulation results show that the decoupling process can effectively promote the network synchronizability, which is measured in terms of eigenratio of the coupling matrix. Moreover, we investigate the correlation between some important structural properties and the collective synchronization, and find that the maximum vertex betweenness seems to be the most strongly correlated with the synchronizability among the major structural features considered. We explain the effect of the decoupling process from a viewpoint of coupling information transmission. Our work provides some evidence that the dynamics of synchronization is related to that of information or vehicle traffic. Because of the low cost in modifying the coupling network, the decoupling process may have potential applications.
No abstract is provided for this article.
This paper studies relationships between coupled-expanding maps and one-sided symbolic dynamical systems. The concept of coupled-expanding map is extended to a more general one: coupled-expansion for a transitive matrix. It is found that the subshift for a transitive matrix is strictly coupled-expanding for the matrix in certain disjoint compact subsets; the topological conjugacy of a continuous map in its compact invariant set of a metric space to a subshift for a transitive matrix has a close relationship with that the map is strictly coupled-expanding for the matrix in some disjoint compact subsets. A certain relationship between strictly coupled-expanding maps for a transitive matrix in disjoint bounded and closed subsets of a complete metric space and their topological conjugacy to the subshift for the matrix is also obtained. Dynamical behaviors of subshifts for irreducible matrices are then studied and several equivalent statements to chaos are obtained; especially, chaos in the sense of Li–Yorke is equivalent to chaos in the sense of Devaney for the subshift, and is also equivalent to that the domain of the subshift is infinite. Based on these results, several new criteria of chaos for maps are finally established via strict coupled-expansions for irreducible transitive matrices in compact subsets of metric spaces and in bounded and closed subsets of complete metric spaces, respectively, where their conditions are weaker than those existing in the literature.
No abstract is provided for this article.
No abstract is provided for this article.
No abstract is provided for this article.
A modified adaptive Kalman filtering algorithm is derived for the standard linear problem under an irregular environment where all variances of the zero-mean Gaussian white (system and observation) noises are unknown a priori. This algorithm has certain merits over various existing adaptive schemes in that it is simple, efficient, and suitable for real-time applications. An illustrative numerical example is presented.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
This paper describes an analytical model for a beam system, based on a modified Timoshenko theory, where the beam is pinned to a hub driven by an actuator at one end and is subject to a heavy load at the other end. A new efficient computational algorithm is then proposed for solving the higher-order non-canonical partial differential equation model, which is developed based on the generalized difference method. This allows a suitable selection of different trial and test spaces, so as to improve the computational efficiency while preserving the high convergence rate of the standard finite element method. With the trial space of cubic Hermite finite elements and the test space of piecewise linear functions, the computational scheme reduces to a semi-discretized or even fully discretized computational algorithm. A numerical simulation result is included to visualize the theoretical modelling and computational results.
This article shows how a simple system with only one stable equilibrium can generate very complex dynamic behaviors such as symmetrical multi-petal chaotic attractors. This new finding reveals some mysterious features of chaos, indicating that chaos may be a global phenomenon of nonlinear dynamical system, in the sense that a chaotic attractor may not be confined to a system equilibrium locally.
Chaos in non-linear circuits: design methodology for autonomous chaotic oscillators, A.S. Elwakil and M.P. Kennedy chaotic wandering in simple coupled chaotic circuits, Y. Nishio intermittent chaos in phase-locked loops, T. Endo et al stochastic analysis of electrical circuits, M.A. van Wyk and J. Ding. Chaos in non-linear systems: chaos in neural networks - chaotic neuro-computer, Y. Horio and K. Aihara complex dynamical behaviour in nearly symmetric standard cellular neural networks, M. Forti and A. Tesi chaos in power electronics - use of chaotic switching for harmonic power redistribution in power converters, H.S.H. Chung et al experimental techniques for investigating chaos in electronics, C.K. Tse chaos in control systems - controller synthesis for periodically forced chaotic systems, M. Basso et al mechanism for taming chaos by weak harmonic perturbations, N. Inaba chaos in communication systems - using non-linear dynamics and chaos to solve signal processing tasks, M.J. Ogorzalek identification of a parametrized family of chaotic dynamics from time series, I. Tokuda and R. Tokunaga image processing in tunnelling phase logic cellular non-linear networks, T. Yang et al chaos in numerical computations - numerical approaches to bifurcation analysis, T. Ueta and H. Kawakami chaos in one-dimensional maps, M.A. van Wyk and W.-H. Steeb. (Part contents.)
This article introduces the new notion of complex networks,especially the representative models of random-graph networks,small-world networks and scale-free networks as well as related basic concepts and modeling parameters.It also briefly summarizes their applications to biological systems and neural networks, epidemic spreading and immunization over networks,transportation systems,social and economic networks, wireless communication and sensor networks.And finally it reviews the problems of distributed control,stability and consensus analysis in their applications to swarming,flocking and synchronization.
