Chaos via MedWorm.com

Symmetry chaotic attractors and bursting dynamics of semiconductor lasers subjected to optical injection

Chaos — Sat, 04 Feb 2012 01:22:33 +0100

A. D. Mengue and B. Z. Essimbi This paper presents the nonlinear dynamics and bifurcations of optically injected semiconductor lasers in the frame of relative high injection strength. The behavior of the system is explored by means of bifurcation diagrams; however, the exact nature of the involved dynamics is well described by a ... [Chaos 22, 013113 (2012)] published Wed Feb 1, 2012. (Source: Chaos)

Multistability of twisted states in non-locally coupled Kuramoto-type models

Chaos — Sat, 04 Feb 2012 01:22:33 +0100

Taras Girnyk, Martin Hasler, and Yuriy Maistrenko A ring of N identical phase oscillators with interactions between L-nearest neighbors is considered, where L ranges from 1 (local coupling) to N/2 (global coupling). The coupling function is a simple sinusoid, as in the Kuramoto model, but with a minus sign which has a profound influence on its beha ... [Chaos 22, 013114 (2012)] published Thu Feb 2, 2012. (Source: Chaos)

Geometric and dynamic perspectives on phase-coherent and noncoherent chaos

Chaos — Sat, 04 Feb 2012 01:22:33 +0100

Yong Zou, Reik V. Donner, and Jurgen Kurths Statistically distinguishing between phase-coherent and noncoherent chaotic dynamics from time series is a contemporary problem in nonlinear sciences. In this work, we propose different measures based on recurrence properties of recorded trajectories, which characterize the underlying systems from b ... [Chaos 22, 013115 (2012)] published Thu Feb 2, 2012. (Source: Chaos)

Vibrational resonance in Duffing systems with fractional-order damping

Chaos — Sat, 28 Jan 2012 01:37:36 +0100

J. H. Yang and H. Zhu The phenomenon of vibrational resonance (VR) is investigated in over- and under-damped Duffing systems with fractional-order damping. It is found that the factional-order damping can induce change in the number of the steady stable states and then lead to single- or double-resonance behavior. Compar ... [Chaos 22, 013112 (2012)] published Fri Jan 27, 2012. (Source: Chaos)

Using time-delayed mutual information to discover and interpret temporal correlation structure in complex populations

Chaos — Wed, 25 Jan 2012 02:29:05 +0100

D. J. Albers and George Hripcsak This paper addresses how to calculate and interpret the time-delayed mutual information (TDMI) for a complex, diversely and sparsely measured, possibly non-stationary population of time-series of unknown composition and origin. The primary vehicle used for this analysis is a comparison between the t ... [Chaos 22, 013111 (2012)] published Tue Jan 24, 2012. (Source: Chaos)

Analytical properties of horizontal visibility graphs in the Feigenbaum scenario

Chaos — Wed, 25 Jan 2012 02:29:05 +0100

Bartolo Luque, Lucas Lacasa, Fernando J. Ballesteros, and Alberto Robledo Time series are proficiently converted into graphs via the horizontal visibility (HV) algorithm, which prompts interest in its capability for capturing the nature of different classes of series in a network context. We have recently shown [B. Luque et al., PLoS ONE 6, 9 (2011)] that dynamical system ... [Chaos 22, 013109 (2012)] published Tue Jan 24, 2012. (Source: Chaos)

Theoretical analysis of multiplicative-noise-induced complete synchronization in global coupled dynamical network

Chaos — Wed, 25 Jan 2012 02:29:05 +0100

Yuzhu Xiao, Sufang Tang, and Yong Xu In this paper, based on the theory of stochastic differential equation, we study the effect of noise on the synchronization of global coupled dynamical network, when noise presents in coupling term. The theoretical result shows that noise can really induce synchronization. To verify the theoretical ... [Chaos 22, 013110 (2012)] published Tue Jan 24, 2012. (Source: Chaos)

Fractal variability: An emergent property of complex dissipative systems

Chaos — Sun, 22 Jan 2012 01:22:13 +0100

Andrew J. E. Seely and Peter Macklem The patterns of variation of physiologic parameters, such as heart and respiratory rate, and their alteration with age and illness have long been under investigation; however, the origin and significance of scale-invariant fractal temporal structures that characterize healthy biologic variability re ... [Chaos 22, 013108 (2012)] published Thu Jan 19, 2012. (Source: Chaos)

Multiscale characterization of recurrence-based phase space networks constructed from time series

Chaos — Thu, 19 Jan 2012 02:04:36 +0100

Ruoxi Xiang, Jie Zhang, Xiao-Ke Xu, and Michael Small Recently, a framework for analyzing time series by constructing an associated complex network has attracted significant research interest. One of the advantages of the complex network method for studying time series is that complex network theory provides a tool to describe either important nodes, o ... [Chaos 22, 013107 (2012)] published Tue Jan 17, 2012. (Source: Chaos)

Propagation of spiking regularity and double coherence resonance in feedforward networks

Chaos — Mon, 16 Jan 2012 03:36:12 +0100

Cong Men, Jiang Wang, Ying-Mei Qin, Bin Deng, Kai-Ming Tsang et al. We investigate the propagation of spiking regularity in noisy feedforward networks (FFNs) based on FitzHugh-Nagumo neuron model systematically. It is found that noise could modulate the transmission of firing rate and spiking regularity. Noise-induced synchronization and synfire-enhanced coherence r ... [Chaos 22, 013104 (2012)] published Tue Jan 10, 2012. (Source: Chaos)

Transcripts: An algebraic approach to coupled time series

Chaos — Mon, 16 Jan 2012 03:36:12 +0100

Jose M. Amigo, Roberto Monetti, Thomas Aschenbrenner, and Wolfram Bunk Ordinal symbolic dynamics is based on ordinal patterns. Its tools include permutation entropy (in metric and topological versions), forbidden patterns, and a number of mathematical results that make this sort of symbolic dynamics appealing both for theoreticians and practitioners. In particular, ord ... [Chaos 22, 013105 (2012)] published Fri Jan 13, 2012. (Source: Chaos)

Saddle-point solutions and grazing bifurcations in an impacting system

Chaos — Mon, 16 Jan 2012 03:36:12 +0100

Joanna F. Mason and Petri T. Piiroinen This paper focuses on the intricate relationship between smooth and nonsmooth phenomena in an impacting system. In particular a boundary saddle-point solution, that is born in a nonsmooth fold, is analysed. Accessible boundary saddle-point solutions play a key role in determining the global dynamics ... [Chaos 22, 013106 (2012)] published Fri Jan 13, 2012. (Source: Chaos)

Multiscale dynamics in communities of phase oscillators

Chaos — Sat, 07 Jan 2012 07:48:35 +0100

Dustin Anderson, Ari Tenzer, Gilad Barlev, Michelle Girvan, Thomas M. Antonsen et al. We investigate the dynamics of systems of many coupled phase oscillators with heterogeneous frequencies. We suppose that the oscillators occur in M groups. Each oscillator is connected to other oscillators in its group with attractive coupling, such that the coupling promotes synchronization within ... [Chaos 22, 013102 (2012)] published Tue Jan 3, 2012. (Source: Chaos)

Resonance phenomena and long-term chaotic advection in volume-preserving systems

Chaos — Sat, 07 Jan 2012 07:48:35 +0100

Dmitri L. Vainchtein and Alimu Abudu Creating chaotic advection is the most efficient strategy to achieve mixing on microscale or in very viscous fluids. In this paper, we present a quantitative theory of the long-time resonant mixing in 3D near-integrable flows. We use the flow between two coaxial elliptic counter-rotating cylinders a ... [Chaos 22, 013103 (2012)] published Tue Jan 3, 2012. (Source: Chaos)

Energetics of stochastic resonance