CHAOS: All Topics http://scitation.aip.org/ CHAOS: All Topics A method of estimating the noise level in a chaotic time series http://link.aip.org/link/?CHA/18/023115/1&agg=rss A. W. Jayawardena, Pengcheng Xu, and W. K. Li<br/> An attempt is made in this study to estimate the noise level present in a chaotic time series. This is achieved by employing a linear least-squares method that is based on the correlation integral form obtained by Diks in 1999. The effectiveness of the method is demonstrated using five artificial ch ... [Chaos 18, 023115 (2008)] published Tue May 13, 2008. Design of fast state observers using a backstepping-like approach with application to synchronization of chaotic systems http://link.aip.org/link/?CHA/18/023114/1&agg=rss Ashraf A. Zaher<br/> A simple technique is introduced to build fast state observers for chaotic systems when only a scalar time series of the output is available. This technique relies on using a backstepping-like approach via introducing new virtual states that can be observed using the drive-response synchronization m ... [Chaos 18, 023114 (2008)] published Wed May 7, 2008. Chaotic scattering in solitary wave interactions: A singular iterated-map description http://link.aip.org/link/?CHA/18/023113/1&agg=rss Roy H. Goodman<br/> We derive a family of singular iterated mapsclosely related to Poincare mapsthat describe chaotic interactions between colliding solitary waves. The chaotic behavior of such solitary-wave collisions depends on the transfer of energy to a secondary mode of oscillation, often an internal mode of the p ... [Chaos 18, 023113 (2008)] published Wed May 7, 2008. Data assimilation as a nonlinear dynamical systems problem: Stability and convergence of the prediction-assimilation system http://link.aip.org/link/?CHA/18/023112/1&agg=rss Alberto Carrassi, Michael Ghil, Anna Trevisan, and Francesco Uboldi<br/> We study prediction-assimilation systems, which have become routine in meteorology and oceanography and are rapidly spreading to other areas of the geosciences and of continuum physics. The long-term, nonlinear stability of such a system leads to the uniqueness of its sequentially estimated solution ... [Chaos 18, 023112 (2008)] published Wed May 7, 2008. Universal occurrence of the phase-flip bifurcation in time-delay coupled systems http://link.aip.org/link/?CHA/18/023111/1&agg=rss Awadhesh Prasad, Syamal Kumar Dana, Rajat Karnatak, Jurgen Kurths, Bernd Blasius et al.<br/> Recently, the phase-flip bifurcation has been described as a fundamental transition in time-delay coupled, phase-synchronized nonlinear dynamical systems. The bifurcation is characterized by a change of the synchronized dynamics from being in-phase to antiphase, or vice versa; the phase-difference b ... [Chaos 18, 023111 (2008)] published Fri May 2, 2008. High-performance multimedia encryption system based on chaos http://link.aip.org/link/?CHA/18/023110/1&agg=rss Rogelio Hasimoto-Beltran<br/> Current chaotic encryption systems in the literature do not fulfill security and performance demands for real-time multimedia communications. To satisfy these demands, we propose a generalized symmetric cryptosystem based on N independently iterated chaotic maps (N-map array) periodically perturbed ... [Chaos 18, 023110 (2008)] published Tue Apr 29, 2008. Topological invariants in the study of a chaotic food chain system http://link.aip.org/link/?CHA/18/023109/1&agg=rss Jorge Duarte, Cristina Januario, and Nuno Martins<br/> The study of ecological systems has generated deep interest in exploring the complexity of chaotic food chains. The role of chaos in ecosystems is not entirely understood. One approach to have a better comprehension of ecological chaos is by analyzing it in mathematical models of basic food chains. ... [Chaos 18, 023109 (2008)] published Wed Apr 23, 2008. Generalized synchronization via nonlinear control http://link.aip.org/link/?CHA/18/023108/1&agg=rss Meng Juan and Wang Xingyuan<br/> In this paper, the generalized synchronization problem of drive-response systems is investigated. Using the drive-response concept and the nonlinear control theory, a control law is designed to achieve the generalized synchronization of chaotic systems. Based on the Lyapunov stability theory, a gene ... [Chaos 18, 023108 (2008)] published Wed Apr 23, 2008. Experimental bifurcations and homoclinic chaos in a laser with a saturable absorber http://link.aip.org/link/?CHA/18/023107/1&agg=rss Hugo L. D. de S. Cavalcante and J. R. Rios Leite<br/> The shape and the peak values of the pulses from a passive Q-switching CO laser with SF as saturable absorber were detected while the laser was tuned in frequency across a longitudinal mode. A succession of stability windows, typical for bifurcation diagrams in the homoclinic scenario, was observed ... [Chaos 18, 023107 (2008)] published Tue Apr 22, 2008. Input reconstruction of chaos sensors http://link.aip.org/link/?CHA/18/023106/1&agg=rss Dongchuan Yu, Fang Liu, and Pik-Yin Lai<br/> Although the sensitivity of sensors can be significantly enhanced using chaotic dynamics due to its extremely sensitive dependence on initial conditions and parameters, how to reconstruct the measured signal from the distorted sensor response becomes challenging. In this paper we suggest an effectiv ... [Chaos 18, 023106 (2008)] published Tue Apr 22, 2008. Higher-codimension bifurcations in a discrete unidirectional neural network model with delayed feedback http://link.aip.org/link/?CHA/18/023105/1&agg=rss Mingshu Peng, Lihong Huang, and Guanghui Wang<br/> In this paper, we give a detailed study of the codimension-1/3/4 bifurcations, which there may occur in a unidirectional neural network model proposed by S. Guo, X. Tang, and L. Huang [Neurocomputing 71, 14221435 (2008)]. ... [Chaos 18, 023105 (2008)] published Mon Apr 21, 2008.