Chaos

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Complex network analysis of water distribution systems
Chaos - Tập 21 Số 1 - 2011
Alireza Yazdani, Paul Jeffrey
This paper explores a variety of strategies for understanding the formation, structure, efficiency, and vulnerability of water distribution networks. Water supply systems are studied as spatially organized networks for which the practical applications of abstract evaluation methods are critically evaluated. Empirical data from benchmark networks are used to study the interplay between netw...... hiện toàn bộ
Nonlinearity in stock networks
Chaos - Tập 28 Số 8 - 2018
David Hartman, Jaroslav Hlinka
Stock networks, constructed from stock price time series, are a well-established tool for the characterization of complex behavior in stock markets. Following Mantegna’s seminal paper, the linear Pearson’s correlation coefficient between pairs of stocks has been the usual way to determine network edges. Recently, possible effects of nonlinearity on the graph-theoretical properties of such ...... hiện toàn bộ
A critical comparison of Lagrangian methods for coherent structure detection
Chaos - Tập 27 Số 5 - 2017
Alireza Hadjighasem, Mohammad Farazmand, Daniel Blazevski, Gary Froyland, George Haller
We review and test twelve different approaches to the detection of finite-time coherent material structures in two-dimensional, temporally aperiodic flows. We consider both mathematical methods and diagnostic scalar fields, comparing their performance on three benchmark examples: the quasiperiodically forced Bickley jet, a two-dimensional turbulence simulation, and an observational wind ve...... hiện toàn bộ
Fundamentals of synchronization in chaotic systems, concepts, and applications
Chaos - Tập 7 Số 4 - Trang 520-543 - 1997
Louis M. Pecora, Thomas L. Carroll, Gregg A. Johnson, D. J. Mar, James F. Heagy
The field of chaotic synchronization has grown considerably since its advent in 1990. Several subdisciplines and “cottage industries” have emerged that have taken on bona fide lives of their own. Our purpose in this paper is to collect results from these various areas in a review article format with a tutorial emphasis. Fundamentals of chaotic synchronization are reviewed first with emphas...... hiện toàn bộ
A matched filter for chaos
Chaos - Tập 20 Số 2 - 2010
Ned J. Corron, Jonathan N. Blakely, Mark T. Stahl
A novel chaotic oscillator is shown to admit an exact analytic solution and a simple matched filter. The oscillator is a hybrid dynamical system including both a differential equation and a discrete switching condition. The analytic solution is written as a linear convolution of a symbol sequence and a fixed basis function, similar to that of conventional communication waveforms. Waveform ...... hiện toàn bộ
n:m phase synchronization with mutual coupling phase signals
Chaos - Tập 12 Số 1 - Trang 100-106 - 2002
Jiale Chen, Ka Wai Wong, J. W. Shuai
We generalize the n:m phase synchronization between two chaotic oscillators by mutual coupling phase signals. To characterize this phenomenon, we use two coupled oscillators to demonstrate their phase synchronization with amplitudes practically noncorrelated. We take the 1:1 phase synchronization as an example to show the properties of mean frequencies, mean phase difference, and Lyapunov ...... hiện toàn bộ
Experimental study of imperfect phase synchronization in the forced Lorenz system
Chaos - Tập 13 Số 1 - Trang 319-326 - 2003
Antonio Pujol-Peré, O. Calvo, Manuel A. Matı́as, Jürgen Kurths
In this work we demonstrate for an experimental system, that exhibits the Lorenz butterfly attractor behavior, that perfect chaotic phase synchronization cannot be achieved in systems with an unbounded distribution of intrinsic time scales. Instead, imperfect phase synchronization is characterized by the occurrence of phase slips, associated to epochs of time during which the chaotic oscil...... hiện toàn bộ
Synchronization stability and pattern selection in a memristive neuronal network
Chaos - Tập 27 Số 11 - 2017
Chunni Wang, Mi Lv, Jinde Cao, Jun Ma
Spatial pattern formation and selection depend on the intrinsic self-organization and cooperation between nodes in spatiotemporal systems. Based on a memory neuron model, a regular network with electromagnetic induction is proposed to investigate the synchronization and pattern selection. In our model, the memristor is used to bridge the coupling between the magnetic flux and the membrane ...... hiện toàn bộ
Development of structural correlations and synchronization from adaptive rewiring in networks of Kuramoto oscillators
Chaos - Tập 27 Số 7 - 2017
Lia Papadopoulos, Jason Z. Kim, Jürgen Kurths, Danielle S. Bassett
Synchronization of non-identical oscillators coupled through complex networks is an important example of collective behavior, and it is interesting to ask how the structural organization of network interactions influences this process. Several studies have explored and uncovered optimal topologies for synchronization by making purposeful alterations to a network. On the other hand, the con...... hiện toàn bộ
Metastable chimera states in community-structured oscillator networks
Chaos - Tập 20 Số 1 - 2010
Murray Shanahan
A system of symmetrically coupled identical oscillators with phase lag is presented, which is capable of generating a large repertoire of transient (metastable) “chimera” states in which synchronization and desynchronization coexist. The oscillators are organized into communities, such that each oscillator is connected to all its peers in the same community and to a subset of the oscillato...... hiện toàn bộ
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