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排序方式: 共有151条查询结果,搜索用时 31 毫秒
1.
Jürgen Kurths M. Carmen Romano Marco Thiel Grigory V. Osipov Mikhail V. Ivanchenko István Z. Kiss John L. Hudson 《Nonlinear dynamics》2006,44(1-4):135-149
We present two different approaches to detect and quantify phase synchronization in the case of coupled non-phase coherent
oscillators. The first one is based on the general idea of curvature of an arbitrary curve. The second one is based on recurrences
of the trajectory in phase space. We illustrate both methods in the paradigmatic example of the R?ssler system in the funnel
regime. We show that the second method is applicable even in the case of noisy data. Furthermore, we extend the second approach
to the application of chains of coupled systems, which allows us to detect easily clusters of synchronized oscillators. In
order to illustrate the applicability of this approach, we show the results of the algorithm applied to experimental data
from a population of 64 electrochemical oscillators. 相似文献
2.
Measures of complexity for 3D image analysis of trabecular
bone 总被引:1,自引:0,他引:1
Based on fractal properties and spatial auto-correlation, the
measures of complexity lacunarity, Moran's I and Geary's C index
are defined for 3D image analysis. Their abilities to investigate
translational invariance, characteristic length scales, spatial
correlation and shapes of 3D micro-structures are demonstrated on
proto-typical examples. Finally, using these measures of complexity,
3D images of trabecular bone are analysed. The main findings are
that the complexity of the trabecular structure decreases and the
plate-like shapes of the trabeculae change to mainly rod-like shapes
during bone loss. These results and the proposed measures could have
a great impact for medicine and for space exploration. 相似文献
3.
Phase synchronization of chaotic oscillators 总被引:3,自引:0,他引:3
4.
B. Schäfer C. Grabow S. Auer J. Kurths D. Witthaut M. Timme 《The European physical journal. Special topics》2016,225(3):569-582
Renewables will soon dominate energy production in our electric power system. And yet, how to integrate renewable energy into the grid and the market is still a subject of major debate. Decentral Smart Grid Control (DSGC) was recently proposed as a robust and decentralized approach to balance supply and demand and to guarantee a grid operation that is both economically and dynamically feasible. Here, we analyze the impact of network topology by assessing the stability of essential network motifs using both linear stability analysis and basin volume for delay systems. Our results indicate that if frequency measurements are averaged over sufficiently large time intervals, DSGC enhances the stability of extended power grid systems. We further investigate whether DSGC supports centralized and/or decentralized power production and find it to be applicable to both. However, our results on cycle-like systems suggest that DSGC favors systems with decentralized production. Here, lower line capacities and lower averaging times are required compared to those with centralized production. 相似文献
5.
A. Plietzsch P. Schultz J. Heitzig J. Kurths 《The European physical journal. Special topics》2016,225(3):551-568
When designing or extending electricity grids, both frequency stability and resilience against cascading failures have to be considered amongst other aspects of energy security and economics such as construction costs due to total line length. Here, we compare an improved simulation model for cascading failures with state-of-the-art simulation models for short-term grid dynamics. Random ensembles of realistic power grid topologies are generated using a recent model that allows for a tuning of global vs local redundancy. The former can be measured by the algebraic connectivity of the network, whereas the latter can be measured by the networks transitivity. We show that, while frequency stability of an electricity grid benefits from a global form of redundancy, resilience against cascading failures rather requires a more local form of redundancy and further analyse the corresponding trade-off. 相似文献
6.
S. Auer K. Kleis P. Schultz J. Kurths F. Hellmann 《The European physical journal. Special topics》2016,225(3):609-625
Extreme events are a challenge to natural as well as man-made systems. For critical infrastructure like power grids, we need to understand their resilience against large disturbances. Recently, new measures of the resilience of dynamical systems have been developed in the complex system literature. Basin stability and survivability respectively assess the asymptotic and transient behavior of a system when subjected to arbitrary, localized but large perturbations in frequency and phase. To employ these methods that assess power grid resilience, we need to choose a certain model detail of the power grid. For the grid topology we considered the Scandinavian grid and an ensemble of power grids generated with a random growth model. So far the most popular model that has been studied is the classical swing equation model for the frequency response of generators and motors. In this paper we study a more sophisticated model of synchronous machines that also takes voltage dynamics into account, and compare it to the previously studied model. This model has been found to give an accurate picture of the long term evolution of synchronous machines in the engineering literature for post fault studies. We find evidence that some stable fix points of the swing equation become unstable when we add voltage dynamics. If this occurs the asymptotic behavior of the system can be dramatically altered, and basin stability estimates obtained with the swing equation can be dramatically wrong. We also find that the survivability does not change significantly when taking the voltage dynamics into account. Further, the limit cycle type asymptotic behaviour is strongly correlated with transient voltages that violate typical operational voltage bounds. Thus, transient voltage bounds are dominated by transient frequency bounds and play no large role for realistic parameters. 相似文献
7.
J. Heitzig J. Graff Zivin H.D.I. Abarbanel L. Kocarev J. Kurths 《The European physical journal. Special topics》2016,225(3):423-427
This topical issue collects contributions to the interdisciplinary study of the interacting global systems of public health, energy production, and climate change, in order to provide physicists with an opportunity to explore these fields of application of great societal importance. 相似文献
8.
S. Moshel A. Z. Zivotofsky L. Jin-Rong R. Engbert J. Kurths R. Kliegl S. Havlin 《The European physical journal. Special topics》2008,161(1):207-223
When we fixate our gaze on a stable object, our eyes move continuously with extremely small involuntary and autonomic movements,
that even we are unaware of during their occurrence. One of the roles of these fixational eye movements is to prevent the
adaptation of the visual system to continuous illumination and inhibit fading of the image. These random, small movements
are restricted at long time scales so as to keep the target at the centre of the field of view. In addition, the synchronisation
properties between both eyes are related to binocular coordination in order to provide stereopsis. We investigated the roles
of different time scale behaviours, especially how they are expressed in the different spatial directions (vertical versus
horizontal). We also tested the synchronisation between both eyes.
Results show
different scaling behaviour between horizontal and vertical movements. When the small ballistic movements,
i.e., microsaccades, are removed, the scaling behaviour in both axes becomes similar. Our findings suggest
that microsaccades enhance the persistence at short time scales mostly in the horizontal component and much
less in the vertical component.
We also applied the phase synchronisation
decay method to study the synchronisation between six combinations of
binocular fixational eye movement components. We found that the vertical-vertical components of right and left eyes are significantly
more synchronised than the horizontal-horizontal components.
These differences may be due to the need for continuously moving the eyes in the
horizontal plane in order to match the stereoscopic image for different viewing distances. 相似文献
9.
The effects of noise on phase synchronization (PS) of coupled chaotic oscillators are explored. In contrast to coupled periodic oscillators, noise is found to enhance phase synchronization significantly below the threshold of PS. This constructive role of noise has been verified experimentally with chaotic electrochemical oscillators of the electrodissolution of Ni in sulfuric acid solution. 相似文献
10.
Correlation integral as a tool for distinguishing between dynamics and statistics in time series data 总被引:2,自引:0,他引:2
We propose a new test for time series data for proper choice of processing technique: dynamical or statistical. It is based upon the normalized slope of the correlation integral (, m) = m−1d(ln C()) /d ln , where m is the embedding dimension. It is shown that when does not tend to 0 on the resolved range of scales as m grows, then there will be serious limitations for dynamical methods even if the data are dynamical by nature. In the latter case it means that the length of time series does not allow to resolve small scales, and on large scales the delay reconstruction for any m mixes true and false neighbours of points and therefore restricts the application of dynamical techniques, such as estimating Lyapunov exponents or predicting time series. 相似文献