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Chaos Collection (42 Books)


 
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Chaos : Announcement: Focus issue on Intracellular Ca2+ Dynamics- ...

By: Martin Falcke

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Chaos : Introduction: Fifth Annual Gallery of Nonlinear Images (Ne...

By: Predrag Cvitanovic, M. Cristina Marchetti, Sidney Redner, and Arshad A. Kudrolli

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Chaos : Detecting topological features of chaotic fluid flow

By: Nicholas T. Ouellette and J. P. Gollub

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Chaos : Enstrophy amplification events in three-dimensional turbulence

By: Jörg Schumacher, Maik Boltes, Herwig Zilken, Marc-André Hermanns, Bruno Eckhardt et al

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Chaos : From bouncing to boxing

By: D. Terwagne, T. Gilet, N. Vandewalle, and S. Dorbolo

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Chaos : Channel erosion due to subsurface flow

By: Braunen Smith, Arshad Kudrolli, Alexander E. Lobkovsky, and Daniel H. Rothman

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Chaos : Swimming C. elegans in a wet granular medium

By: Sunghwan Jung, Stella Lee, and Aravinthan Samuel

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Chaos : Force chains in a two dimensional granular pure shear expe...

By: Jie Zhang, Trush Majmudar, and Robert Behringer

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Chaos : Cracking sheets: Oscillatory fracture paths in thin elasti...

By: Pedro M. Reis, Basile Audoly, and Benoit Roman

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Chaos : A cascade of length scales in elastic rings under confinement

By: Kevin Spears and Silas Alben

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Chaos : Momentum distributions after double ionization

By: B. Eckhardt, J. Prauzner-Bechcicki, K. Sacha, and J. Zakrzewski

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Chaos : Inferring connectivity of interacting phase oscillators

By: Dongchuan Yu, Luigi Fortuna, and Fang Liu

Description: The question as to how network topology properties influence network dynamical behavior has been extensively investigated. Here we treat the inverse problem, i.e., how to infer network connection topology from the dynamic evolution, and suggest a control based topology identification method. This method includes two steps: (i) driving the network to a steady state and (ii) inferring all elements of the connectivity matrix by exploiting information obtained f...

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Chaos : Asymmetric spatiotemporal chaos induced by a polypoid mass...

By: Yu Zhang and Jack J. Jiang

Description: In this paper, asymmetric spatiotemporal chaos induced by a polypoid mass simulating the laryngeal pathology of a vocal polyp is experimentally observed using high-speed imaging in an excised larynx. Spatiotemporal analysis reveals that the normal vocal folds show spatiotemporal correlation and symmetry. Normal vocal fold vibrations are dominated mainly by the first vibratory eigenmode. However, pathological vocal folds with a polypoid mass show broken symme...

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Chaos : Winnerless competition principle and prediction of the tra...

By: Valentin Afraimovich, Irma Tristan, Ramon Huerta, and Mikhail I. Rabinovich

Description: Predicting the evolution of multispecies ecological systems is an intriguing problem. A sufficiently complex model with the necessary predicting power requires solutions that are structurally stable. Small variations of the system parameters should not qualitatively perturb its solutions. When one is interested in just asymptotic results of evolution (as time goes to infinity), then the problem has a straightforward mathematical image involving simple attrac...

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Chaos : Hopf bifurcation control in a congestion control model via...

By: Songtao Guo, Gang Feng, Xiaofeng Liao, and Qun Liu

Description: A typical objective of bifurcation control is to delay the onset of undesirable bifurcation. In this paper, the problem of Hopf bifurcation control in a second-order congestion control model is considered. In particular, a suitable Hopf bifurcation is created at a desired location with preferred properties and a dynamic delayed feedback controller is developed for the creation of the Hopf bifurcation. With this controller, one can increase the critical value...

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Chaos : Community structures and role detection in music networks

By: T. Teitelbaum, P. Balenzuela, P. Cano, and Javier M. Buldú

Description: We analyze the existence of community structures in two different social networks using data obtained from similarity and collaborative features between musical artists. Our analysis reveals some characteristic organizational patterns and provides information about the driving forces behind the growth of the networks. In the similarity network, we find a strong correlation between clusters of artists and musical genres. On the other hand, the collaboration n...

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Chaos : The organization of intrinsic computation: Complexity-entr...

By: David P. Feldman, Carl S. McTague, and James P. Crutchfield

Description: Intrinsic computation refers to how dynamical systems store, structure, and transform historical and spatial information. By graphing a measure of structural complexity against a measure of randomness, complexity-entropy diagrams display the different kinds of intrinsic computation across an entire class of systems. Here, we use complexity-entropy diagrams to analyze intrinsic computation in a broad array of deterministic nonlinear and linear stochastic proc...

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Chaos : Multistability and arithmetically period-adding bifurcatio...

By: Younghae Do and Ying-Cheng Lai

Description: Multistability has been a phenomenon of continuous interest in nonlinear dynamics. Most existing works so far have focused on smooth dynamical systems. Motivated by the fact that nonsmooth dynamical systems can arise commonly in realistic physical and engineering applications such as impact oscillators and switching electronic circuits, we investigate multistability in such systems. In particular, we consider a generic class of piecewise smooth dynamical sys...

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Chaos : Dynamical parameter identification from a scalar time series

By: Dongchuan Yu and Fang Liu

Description: If a drive system with unknown parameters represents “reality” and the response system a “computational model,” the unidirectional coupling can be used to change model parameters, as well as the model state, such that both systems synchronize with each other and model parameters coincide with their true values of “reality.” Such a parameter identification method is called adaptive synchronization (also autosynchronization) method and is widely used in the li...

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Chaos : Synchronization-based scalability of complex clustered net...

By: Xiaojuan Ma, Liang Huang, Ying-Cheng Lai, Yan Wang, and Zhigang Zheng

Description: Complex clustered networks arise in biological, social, physical, and technological systems, and the synchronous dynamics on such networks have attracted recent interests. Here we investigate system-size dependence of the synchronizability of these networks. Theoretical analysis and numerical computations reveal that, for a typical clustered network, as its size is increased, the synchronizability can be maintained or even enhanced but at the expense of dete...

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