Chaos

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Towards a whole-cell modeling approach for synthetic biology
Chaos - Tập 23 Số 2 - 2013
Oliver Purcell, Bonny Jain, Jonathan R. Karr, Markus W. Covert, Timothy K. Lu
Despite rapid advances over the last decade, synthetic biology lacks the predictive tools needed to enable rational design. Unlike established engineering disciplines, the engineering of synthetic gene circuits still relies heavily on experimental trial-and-error, a time-consuming and inefficient process that slows down the biological design cycle. This reliance on experimental tuning is because c... hiện toàn bộ
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 network stru... 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 networks... hiện toàn bộ
Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation
Chaos - Tập 25 Số 12 - 2015
Xiao‐Yong Wen, Zhenya Yan
We study higher-order rogue wave (RW) solutions of the coupled integrable dispersive AB system (also called Pedlosky system), which describes the evolution of wave-packets in a marginally stable or unstable baroclinic shear flow in geophysical fluids. We propose its continuous-wave (CW) solutions and existent conditions for their modulation instability to form the rogue waves. A new generalized N-... hiện toàn bộ
Semi-rational solutions of the third-type Davey-Stewartson equation
Chaos - Tập 27 Số 8 - 2017
Jiguang Rao, K. Porsezian, Jingsong He
General dark solitons and mixed solutions consisting of dark solitons and breathers for the third-type Davey-Stewartson (DS-III) equation are derived by employing the bilinear method. By introducing the two differential operators, semi-rational solutions consisting of rogue waves, breathers, and solitons are generated. These semi-rational solutions are given in terms of determinants whose matrix e... hiện toàn bộ
A unifying definition of synchronization for dynamical systems
Chaos - Tập 10 Số 2 - Trang 344-349 - 2000
Reggie Brown, Ljupčo Kocarev
We propose a unifying definition for synchronization between stationary finite dimensional deterministic dynamical systems. By example, we show that the synchronization phenomena discussed in the dynamical systems literature fits within the framework of this definition, and discuss problems with previous definitions of synchronization. We conclude with a discussion of possible extensions of the de... hiện toàn bộ
How well-connected is the surface of the global ocean?
Chaos - Tập 24 Số 3 - 2014
Gary Froyland, Robyn M. Stuart, Erik van Sebille
The Ekman dynamics of the ocean surface circulation is known to contain attracting regions such as the great oceanic gyres and the associated garbage patches. Less well-known are the extents of the basins of attractions of these regions and how strongly attracting they are. Understanding the shape and extent of the basins of attraction sheds light on the question of the strength of connectivity of... hiện toàn bộ
Computing Lagrangian coherent structures from their variational theory
Chaos - Tập 22 Số 1 - Trang 013128 - 2012
Mohammad Farazmand, George Haller
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 velocity f... 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 emphases on th... hiện toàn bộ
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