Chaos Nameplat
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

You Tube Flickr Twitter iResearch App Facebook

Search Issue | RSS Feeds RSS
Previous Issue

Dec 2006

Volume 16, Issue 4, Articles (04xxxx)

Page 1 of 2 Pages Next Page | Jump to Page
back to top
RSS Feeds
FREE

Introduction: Third Annual Gallery of Nonlinear Images (Baltimore, Maryland, 2006)

Sidney Redner, Eli Ben-Naim, Charles R. Doering, and Daniel P. Lathrop

Chaos 16, 041101 (2006); http://dx.doi.org/10.1063/1.2390557 (1 page)

Online Publication Date: 15 December 2006

Full Text: Read Online (HTML) | Download PDF

Abstract Unavailable
Show PACS
42.30.-d Imaging and optical processing
42.65.Sf Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics
FREE

Splash and anti-splash: Observation and design

Laurent Courbin, James C. Bird, and Howard A. Stone

Chaos 16, 041102 (2006); http://dx.doi.org/10.1063/1.2390551 (1 page) | Cited 3 times

Online Publication Date: 15 December 2006

Full Text: Read Online (HTML) | Download PDF

Abstract Unavailable
Show PACS
01.50.-i Educational aids
FREE

Edge of chaos in pipe flow

Tobias M. Schneider and Bruno Eckhardt

Chaos 16, 041103 (2006); http://dx.doi.org/10.1063/1.2390553 (1 page) | Cited 7 times

Online Publication Date: 15 December 2006

Full Text: Read Online (HTML) | Download PDF

Abstract Unavailable
Show PACS
47.60.-i Flow phenomena in quasi-one-dimensional systems
47.15.-x Laminar flows
47.27.nf Flows in pipes and nozzles
47.52.+j Chaos in fluid dynamics
FREE

Crowd synchrony on the London Millennium Bridge

Bruno Eckhardt and Edward Ott

Chaos 16, 041104 (2006); http://dx.doi.org/10.1063/1.2390554 (1 page) | Cited 1 time

Online Publication Date: 15 December 2006

Full Text: Read Online (HTML) | Download PDF

Abstract Unavailable
Show PACS
89.20.Kk Engineering
89.20.Bb Industrial and technological research and development
46.40.Ff Resonance, damping, and dynamic stability
FREE

Driven inertial waves in spherical Couette flow

Douglas H. Kelley, Santiago Andrés Triana, Daniel S. Zimmerman, Barbara Brawn, Daniel P. Lathrop, and Donald H. Martin

Chaos 16, 041105 (2006); http://dx.doi.org/10.1063/1.2390555 (1 page) | Cited 1 time

Online Publication Date: 15 December 2006

Full Text: Read Online (HTML) | Download PDF

Abstract Unavailable
Show PACS
01.50.Pa Laboratory experiments and apparatus
47.65.-d Magnetohydrodynamics and electrohydrodynamics
91.25.-r Geomagnetism and paleomagnetism; geoelectricity
91.35.Gf Structure of the crust and upper mantle
FREE

Community structure in the U.S. House of Representatives

Mason A. Porter, A. J. Friend, Peter J. Mucha, and M. E. J. Newman

Chaos 16, 041106 (2006); http://dx.doi.org/10.1063/1.2390556 (1 page) | Cited 2 times

Online Publication Date: 15 December 2006

Full Text: Read Online (HTML) | Download PDF

Abstract Unavailable
Show PACS
89.65.Ef Social organizations; anthropology
89.75.Hc Networks and genealogical trees
back to top
RSS Feeds

Anomalous transport fluctuations in a model of irregular media

O. Ourrad, G. Erochenkova, R. Lima, and M. Vittot

Chaos 16, 043101 (2006); http://dx.doi.org/10.1063/1.2345027 (8 pages) | Cited 1 time

Online Publication Date: 11 October 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
We consider a diffusion model with stochastic porosity for which the average solution exhibits an abnormal transport. In this paper we investigate the relation of such an anomalous diffusive property of the mean value with the behavior of the solution corresponding to each realization of the stochastic porosity. Such a solution will correspond to the actual measurements in an experiment made on a particular tube. The most relevant result of our work is that, although the concentration corresponding to each realization diffuses normally for large times, it experiments on large deviations from the mean value during intermediate times.
Show PACS
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
05.60.-k Transport processes
02.50.Ey Stochastic processes
47.56.+r Flows through porous media
47.60.-i Flow phenomena in quasi-one-dimensional systems

Variance estimators for the Lempel-Ziv entropy rate estimator

José M. Amigó and Matthew B. Kennel

Chaos 16, 043102 (2006); http://dx.doi.org/10.1063/1.2347102 (5 pages) | Cited 4 times

Online Publication Date: 11 October 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
Lempel and Ziv’s 1976 algorithm provides an easy-to-compute way to automatically estimate the entropy rate for symbolic time series, requiring no free parameters. Here we derive an analytical variance estimate for the Lempel-Ziv entropy rate estimator that is easily computable from observations with negligible extra effort beyond the entropy rate itself, and compare to another procedure, a time-series-based bootstrap method. These provide a justified “error bar” quantifying the size of expected fluctuations on the estimate itself, given by the single time series of symbols.
Show PACS
05.45.Tp Time series analysis
05.70.Ce Thermodynamic functions and equations of state
02.50.-r Probability theory, stochastic processes, and statistics
89.70.-a Information and communication theory

Evolution of Benjamin-Ono solitons in the presence of weak Zakharov-Kutznetsov lateral dispersion

Juan Cristobal Latorre, A. A. Minzoni, C. A. Vargas, and Noel F. Smyth

Chaos 16, 043103 (2006); http://dx.doi.org/10.1063/1.2355555 (10 pages)

Online Publication Date: 11 October 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
The effect of weak lateral dispersion of Zakharov-Kutznetsov-type on a Benjamin-Ono solitary wave is studied both asymptotically and numerically. The asymptotic solution is based on an approximate variational solution for the solitary wave, which is then modulated in time through the use of conservation equations. The effect of the dispersive radiation shed as the solitary wave evolves is also included in the modulation equations. It is found that the weak lateral dispersion produces a strongly anisotropic, stable solitary wave which decays algebraically in the direction of propagation, as for the Benjamin-Ono solitary wave, and exponentially in the transverse direction. Moreover, it is found that initial conditions with amplitude above a threshold evolve into solitary waves, while those with amplitude below the threshold evolve as lumps for a short time, then merge into radiation. The modulation equations are found to give a quantitatively accurate description of the evolution of an initial condition into an anisotropic solitary wave. The existence of stable solitary waves is in contrast to previous studies of Benjamin-Ono-type equations subject to the stronger Kadomstev-Petviashvili or Benjamin-Ono-type lateral dispersion, for which the solitary waves either decay or collapse. The present study then completes the catalog of possible behaviors under lateral dispersion.
Show PACS
05.45.Yv Solitons
02.30.Xx Calculus of variations

Merger of coherent structures in time-periodic viscous flows

M. F. M. Speetjens, H. J. H. Clercx, and G. J. F. van Heijst

Chaos 16, 043104 (2006); http://dx.doi.org/10.1063/1.2355656 (8 pages) | Cited 2 times

Online Publication Date: 11 October 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
Inertia-induced changes in transport properties of an incompressible viscous time-periodic flow are studied in terms of the topological properties of volume-preserving maps. In the noninertial limit, the flow admits one constant of motion and thus relates to a so-called one-action map. However, the invariant surfaces corresponding to the constant of motion are topologically equivalent to spheres rather than the common case of tori. This has fundamental ramifications for the effect of inertia and leads to a new kind of response scenario: resonance-induced merger of coherent structures.
Show PACS
47.52.+j Chaos in fluid dynamics
47.11.-j Computational methods in fluid dynamics
02.40.Pc General topology

Long-term memory contribution as applied to the motion of discrete dynamical systems

A. A. Stanislavsky

Chaos 16, 043105 (2006); http://dx.doi.org/10.1063/1.2358632 (4 pages) | Cited 6 times

Online Publication Date: 11 October 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
We consider the evolution of logistic maps under long-term memory. The memory effects are characterized by one parameter, α. If it equals to zero, any memory is absent. This leads to the ordinary discrete dynamical systems. For α = 1 the memory becomes full, and each subsequent state of the corresponding discrete system accumulates all past states with the same weight just as the ordinary integral of first order does in the continuous space. The case with 0<α<1 has the long-term memory effects. The characteristic features are also observed for the fractional integral depending on time, and the parameter α is equivalent to the order index of the fractional integral. We study the evolution of the bifurcation diagram among α = 0 and α = 0.15. The main result of this work is that the long-term memory effects make difficulties for developing the chaos motion in such logistic maps. The parameter α resembles a governing parameter for the bifurcation diagram. For α>0.15 the memory effects win over chaos.
Show PACS
05.40.−a
05.45.−a
05.60.−k
82.40.Bj Oscillations, chaos, and bifurcations

Propagation velocities of chemical reaction fronts advected by Poiseuille flow

Boyd F. Edwards

Chaos 16, 043106 (2006); http://dx.doi.org/10.1063/1.2358954 (8 pages) | Cited 3 times

Online Publication Date: 12 October 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
Poiseuille flow between parallel plates advects chemical reaction fronts, distorting them and altering their propagation velocities. Analytical solutions of the cubic reaction-diffusion-advection equation resolve the chemical concentration for narrow gaps, wide gaps, and small-amplitude flow. Numerical solutions supply a general description for fluid flow in the direction of propagation of the chemical reaction front, and for flow in the opposite direction. Empirical relations for the velocity agree with numerical solutions to within a few percent, and agree exactly with the analytical limits. Applications to nonlinear fingering are discussed.
Show PACS
47.60.-i Flow phenomena in quasi-one-dimensional systems
47.70.Fw Chemically reactive flows
82.20.-w Chemical kinetics and dynamics

Frequency-selective response of FitzHugh-Nagumo neuron networks via changing random edges

Gang Zhao, Zhonghuai Hou, and Houwen Xin

Chaos 16, 043107 (2006); http://dx.doi.org/10.1063/1.2360503 (6 pages) | Cited 4 times

Online Publication Date: 12 October 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
We consider a network of FitzHugh-Nagumo neurons; each neuron is subjected to a subthreshold periodic signal and independent Gaussian white noise. The firing pattern of the mean field changes from an internal-scale dominant pattern to an external-scale dominant one when more and more edges are added into the network. We find numerically that (a) this transition is more sensitive to random edges than to regular edges, and (b) there is a saturation length for random edges beyond which the transition is no longer sharpened. The influence of network size is also investigated.
Show PACS
87.18.Sn Neural networks and synaptic communication
87.16.D- Membranes, bilayers, and vesicles
87.16.Uv Active transport processes

Nonergodicity of the motion in three-dimensional steep repelling dispersing potentials

Anna Rapoport and Vered Rom-Kedar

Chaos 16, 043108 (2006); http://dx.doi.org/10.1063/1.2357331 (6 pages) | Cited 4 times

Online Publication Date: 20 October 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
It is demonstrated numerically that smooth three degrees of freedom Hamiltonian systems that are arbitrarily close to three-dimensional strictly dispersing billiards (Sinai billiards) have islands of effective stability, and hence are nonergodic. The mechanism for creating the islands is corners of the billiards domain.
Show PACS
45.20.Jj Lagrangian and Hamiltonian mechanics
05.20.Dd Kinetic theory
05.45.Pq Numerical simulations of chaotic systems
05.45.−a

Modeling global vector fields of chaotic systems from noisy time series with the aid of structure-selection techniques

Daolin Xu and Fangfang Lu

Chaos 16, 043109 (2006); http://dx.doi.org/10.1063/1.2359230 (8 pages) | Cited 4 times

Online Publication Date: 20 October 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
We address the problem of reconstructing a set of nonlinear differential equations from chaotic time series. A method that combines the implicit Adams integration and the structure-selection technique of an error reduction ratio is proposed for system identification and corresponding parameter estimation of the model. The structure-selection technique identifies the significant terms from a pool of candidates of functional basis and determines the optimal model through orthogonal characteristics on data. The technique with the Adams integration algorithm makes the reconstruction available to data sampled with large time intervals. Numerical experiment on Lorenz and Rössler systems shows that the proposed strategy is effective in global vector field reconstruction from noisy time series.
Show PACS
05.45.Tp Time series analysis
02.10.Ud Linear algebra
02.30.Hq Ordinary differential equations

Coexistence of inertial competitors in chaotic flows

I. J. Benczik, G. Károlyi, I. Scheuring, and T. Tél

Chaos 16, 043110 (2006); http://dx.doi.org/10.1063/1.2359231 (8 pages) | Cited 2 times

Online Publication Date: 20 October 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
We investigate the dynamics of inertial particles immersed in open chaotic flows. We consider the generic problem of competition between different species, e.g., phytoplankton populations in oceans. The strong influence from inertial effects is shown to result in the persistence of different species even in cases when the passively advected species cannot coexist. Multispecies coexistence in the ocean can be explained by the fact that the unstable manifold is different for each advected competitor of different size.
Show PACS
05.45.Gg Control of chaos, applications of chaos
87.23.Cc Population dynamics and ecological pattern formation

On-off intermittency in time series of spontaneous paroxysmal activity in rats with genetic absence epilepsy

Alexander Hramov, Alexey A. Koronovskii, I. S. Midzyanovskaya, E. Sitnikova, and C. M. van Rijn

Chaos 16, 043111 (2006); http://dx.doi.org/10.1063/1.2360505 (7 pages) | Cited 10 times

Online Publication Date: 20 October 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
In the present paper we consider the on-off intermittency phenomena observed in time series of spontaneous paroxysmal activity in rats with genetic absence epilepsy. The method to register and analyze the electroencephalogram with the help of continuous wavelet transform is also suggested.
Show PACS
05.45.−a
05.45.Gg Control of chaos, applications of chaos
52.35.−g
52.35.Mw Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)

Synchronizabilities of networks: A new index

Huijie Yang, Fangcui Zhao, and Binghong Wang

Chaos 16, 043112 (2006); http://dx.doi.org/10.1063/1.2364178 (5 pages) | Cited 5 times

Online Publication Date: 20 October 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
The random matrix theory is used to bridge the network structures and the dynamical processes defined on them. We propose a possible dynamical mechanism for the enhancement effect of network structures on synchronization processes, based upon which a dynamic-based index of the synchronizability is introduced in the present paper.
Show PACS
05.45.Mt Quantum chaos; semiclassical methods
05.45.Xt Synchronization; coupled oscillators
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
02.50.-r Probability theory, stochastic processes, and statistics
02.10.Yn Matrix theory

Synchronization by dynamical relaying in electronic circuit arrays

Iacyel Gomes Da Silva, Javier M. Buldú, Claudio R. Mirasso, and Jordi García-Ojalvo

Chaos 16, 043113 (2006); http://dx.doi.org/10.1063/1.2374860 (7 pages) | Cited 3 times

Online Publication Date: 30 October 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
We experimentally study the synchronization of two chaotic electronic circuits whose dynamics is relayed by a third parameter-matched circuit, to which they are coupled bidirectionally in a linear chain configuration. In a wide range of operating parameters, this setup leads to synchronization between the outer circuits, while the relaying element remains unsynchronized. The specifics of the synchronization differ with the coupling level: for low couplings a state of intermittent synchronization between the outer circuits coexists with one of antiphase synchronization. Synchronization becomes in phase for moderate couplings, and for strong coupling identical synchronization is observed between the outer elements, which are themselves synchronized in a generalized way with the relaying element. In the latter situation, the middle element displays a triple-scroll attractor that is not possible to obtain when the chaotic oscillator is isolated.
Show PACS
05.45.Xt Synchronization; coupled oscillators

Entropy, thermostats, and chaotic hypothesis

Giovanni Gallavotti

Chaos 16, 043114 (2006); http://dx.doi.org/10.1063/1.2372713 (6 pages) | Cited 6 times

Online Publication Date: 8 November 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
The chaotic hypothesis is proposed as a basic for a general theory of nonequilibrium stationary states.
Show PACS
05.70.Ce Thermodynamic functions and equations of state
05.70.Ln Nonequilibrium and irreversible thermodynamics
05.45.Pq Numerical simulations of chaotic systems

On parameter estimation of chaotic systems via symbolic time-series analysis

Carlo Piccardi

Chaos 16, 043115 (2006); http://dx.doi.org/10.1063/1.2372714 (10 pages) | Cited 3 times

Online Publication Date: 8 November 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
Symbolic time-series analysis is used for estimating the parameters of chaotic systems. It is assumed that a “target model” (i.e., a discrete- or continuous-time description of the data-generating mechanism) is available, but with unknown parameters. A time series, i.e., a noisy, finite sequence of a measured (output) variable, is given. The proposed method first prescribes to symbolize the time series, i.e., to transform it into a sequence of symbols, from which the statistics of symbols are readily derived. Then, a symbolic model (in the form of a Markov chain) is derived from the data. It allows one to predict, in a probabilistic fashion, the time evolution of the symbol sequence. The unknown parameters are derived by matching either the statistics of symbols, or the symbolic prediction derived from data, with those generated by the (parametrized) target model. Three examples of application (the Henon map, a population model, and the Duffing system) prove that satisfactory results can be obtained even with short time series.
Show PACS
05.45.Tp Time series analysis
02.50.Ga Markov processes
05.40.Ca Noise

Delay-coordinates embeddings as a data mining tool for denoising speech signals

D. Napoletani, D. C. Struppa, T. Sauer, C. A. Berenstein, and D. Walnut

Chaos 16, 043116 (2006); http://dx.doi.org/10.1063/1.2384909 (10 pages) | Cited 1 time

Online Publication Date: 8 November 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
In this paper, we utilize techniques from the theory of nonlinear dynamical systems to define a notion of embedding estimators. More specifically, we use delay-coordinates embeddings of sets of coefficients of the measured signal (in some chosen frame) as a data mining tool to separate structures that are likely to be generated by signals belonging to some predetermined data set. We implement the embedding estimator in a windowed Fourier frame, and we apply it to speech signals heavily corrupted by white noise. Our experimental work suggests that, after training on the data sets of interest, these estimators perform well for a variety of white noise processes and noise intensity levels.
Show PACS
05.45.-a Nonlinear dynamics and chaos
05.40.Ca Noise
84.40.Ua Telecommunications: signal transmission and processing; communication satellites

The variant of post-Newtonian mechanics with generalized fractional derivatives

V. V. Kobelev

Chaos 16, 043117 (2006); http://dx.doi.org/10.1063/1.2384864 (12 pages)

Online Publication Date: 7 December 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
In this article, we investigate mathematically the variant of post-Newtonian mechanics using generalized fractional derivatives. The relativistic-covariant generalization of the classical equations for gravitational field is studied. The equations (i) match the weak Newtonian limit on the moderate scales and (ii) deliver a potential higher than Newtonian on certain large-distance characteristic scales. The perturbation of the gravitational field results in the tiny secular perihelion shift and exhibits some unusual effects on large scales. The general representation of the solution for the fractional wave equation is given in the form of retarded potentials. The solutions for the Riesz wave equation and classical wave equation are clearly distinctive in an important sense. The hypothetical gravitational Riesz wave demonstrates the space diffusion of the wave at the scales of metric constant. The diffusion leads to the blur of the peak and disruption of the sharp wave front. This contrasts with the solution of the D’Alembert classical wave equation, which obeys the Huygens principle and does not diffuse.
Show PACS
04.20.Jb Exact solutions
04.20.Fy Canonical formalism, Lagrangians, and variational principles
04.30.Nk Wave propagation and interactions
95.30.Sf Relativity and gravitation

A new chaotic communication scheme based on adaptive synchronization

Wu Xiang-Jun

Chaos 16, 043118 (2006); http://dx.doi.org/10.1063/1.2401058 (12 pages) | Cited 18 times

Online Publication Date: 7 December 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
A new chaotic communication scheme using adaptive synchronization technique of two unified chaotic systems is proposed. Different from the existing secure communication methods, the transmitted signal is modulated into the parameter of chaotic systems. The adaptive synchronization technique is used to synchronize two identical chaotic systems embedded in the transmitter and the receiver. It is assumed that the parameter of the receiver system is unknown. Based on the Lyapunov stability theory, an adaptive control law is derived to make the states of two identical unified chaotic systems with unknown system parameters asymptotically synchronized; thus the parameter of the receiver system is identified. Then the recovery of the original information signal in the receiver is successfully achieved on the basis of the estimated parameter. It is noticed that the time required for recovering the information signal and the accuracy of the recovered signal very sensitively depends on the frequency of the information signal. Numerical results have verified the effectiveness of the proposed scheme.
Show PACS
05.45.Vx Communication using chaos
05.45.Xt Synchronization; coupled oscillators

Shilnikov homoclinic orbit bifurcations in the Chua’s circuit

R. O. Medrano-T., M. S. Baptista, and I. L. Caldas

Chaos 16, 043119 (2006); http://dx.doi.org/10.1063/1.2401060 (9 pages) | Cited 4 times

Online Publication Date: 7 December 2006

Full Text: Read Online (HTML) | Download PDF

Show Abstract
We analytically describe the complex scenario of homoclinic bifurcations in the Chua’s circuit. We obtain a general scaling law that gives the ratio between bifurcation parameters of different nearby homoclinic orbits. As an application of this theoretical approach, we estimate the number of higher order subsidiary homoclinic orbits that appear between two consecutive lower order subsidiary orbits. Our analytical finds might be valid for a large class of dynamical systems and are numerically confirmed in the parameter space of the Chua’s circuit.
Show PACS
05.45.-a Nonlinear dynamics and chaos
Page 1 of 2 Pages Next Page | Jump to Page
Close

Google Calendar

ADVERTISEMENT

Go to AIP Home   © AIP Publishing LLC
close