Local estimates for entropy densities in coupled map lattices

We present a method to derive an upper bound for the entropy density of coupled map lattices with local interactions from local observations. To do this, we use an embedding technique being a combination of time delay and spatial embedding. This embedding allows us to identify the local character of the equations of motion. Based on this method we present an approximate estimate of the entropy density by the correlation integral.Comment: 4 pages, 5 figures include

Iterated maps for clarinet-like systems

The dynamical equations of clarinet-like systems are known to be reducible to a non-linear iterated map within reasonable approximations. This leads to time oscillations that are represented by square signals, analogous to the Raman regime for string instruments. In this article, we study in more detail the properties of the corresponding non-linear iterations, with emphasis on the geometrical constructions that can be used to classify the various solutions (for instance with or without reed beating) as well as on the periodicity windows that occur within the chaotic region. In particular, we find a regime where period tripling occurs and examine the conditions for intermittency. We also show that, while the direct observation of the iteration function does not reveal much on the oscillation regime of the instrument, the graph of the high order iterates directly gives visible information on the oscillation regime (characterization of the number of period doubligs, chaotic behaviour, etc.)

Scale Invariance in the Nonstationarity of Physiological Signals

We introduce a segmentation algorithm to probe temporal organization of heterogeneities in human heartbeat interval time series. We find that the lengths of segments with different local values of heart rates follow a power-law distribution. This scale-invariant structure is not a simple consequence of the long-range correlations present in the data. We also find that the differences in mean heart rates between consecutive segments display a common functional form, but with different parameters for healthy individuals and for patients with heart failure. This finding may provide information into the way heart rate variability is reduced in cardiac disease.Comment: 13 pages, 5 figures, corrected typo

The Role of the Environment in Chaotic Quantum Dynamics

We study how the interaction with an external incoherent environment induces a crossover from quantum to classical behavior for a particle whose classical motion is chaotic. Posing the problem in the semiclassical regime, we find that noise produced by the bath coupling rather than dissipation is primarily responsible for the dephasing that results in the ``classicalization'' of the particle. We find that the bath directly alters the phase space structures that signal the onset of classical chaos. This dephasing is shown to have a semiclassical interpretation: the noise renders the interfering paths indistinguishable and therefore incoherent. The noise is also shown to contribute to the quantum inhibition of mixing by creating new paths that interfere coherently.Comment: 10 pages RevTex. Three figures in Postscript as a uuencoded compressed tar file have been submitted as wel

Dimension of interaction dynamics

A method allowing to distinguish interacting from non-interacting systems based on available time series is proposed and investigated. Some facts concerning generalized Renyi dimensions that form the basis of our method are proved. We show that one can find the dimension of the part of the attractor of the system connected with interaction between its parts. We use our method to distinguish interacting from non-interacting systems on the examples of logistic and H\'enon maps. A classification of all possible interaction schemes is given.Comment: 15 pages, 14 (36) figures, submitted to PR

A stochastic model for heart rate fluctuations

Normal human heart rate shows complex fluctuations in time, which is natural, since heart rate is controlled by a large number of different feedback control loops. These unpredictable fluctuations have been shown to display fractal dynamics, long-term correlations, and 1/f noise. These characterizations are statistical and they have been widely studied and used, but much less is known about the detailed time evolution (dynamics) of the heart rate control mechanism. Here we show that a simple one-dimensional Langevin-type stochastic difference equation can accurately model the heart rate fluctuations in a time scale from minutes to hours. The model consists of a deterministic nonlinear part and a stochastic part typical to Gaussian noise, and both parts can be directly determined from the measured heart rate data. Studies of 27 healthy subjects reveal that in most cases the deterministic part has a form typically seen in bistable systems: there are two stable fixed points and one unstable one.Comment: 8 pages in PDF, Revtex style. Added more dat

Up, close and personal: the new Front National visual strategy under Marine Le Pen

Extensive analyses of Marine Le Pen’s media interventions as leader of the French Front National have revealed mostly rhetorical differences from her father’s discourse. In particular, despite Marine Le Pen’s professed openness toward women and their policy concerns, and despite her professed intention to transform the FN into party suitable for government, there has been little progress in these directions. However, the FN’s visual discourse has been all but ignored by the scholarly analysis, despite the fact that campaign visuals encode significant social and political information. This paper finds that the FN candidates’ visual presentation has undergone major transformations from the 2007 to the 2012 legislative elections. Specifically FN candidates in 2012 are more likely to visually portray themselves like mainstream party candidates. Compared to the 2007 elections, women candidates, in particular, were more likely to visually promote their personal qualities in 2012, in some respects more than 2012 men candidates

'OH MY GOD! BUY IT!' A multimodal discourse analysis of the discursive strategies used by Chinese ecommerce live-streamer Austin Li

Ecommerce livestreaming, also known as live commerce or social commerce, has taken off over the past two years in East Asia and is showing the tendency of going global. Intrigued by the phenomenal success of ecommerce livestream, we concentrate on analyzing the most prominent and illustrative ex- ample of Chinese ecommerce live-streamer Austin Li. Through this individual case study, we aim to investigate discursive strategies employed in ecommerce livestreaming and reveal resources specific to this new media genre. Guided by multimodal discourse analysis, our research first accommodates the socio-eco- nomic context of Li’s success to warrant social situatedness in interpreting data. After that we move into analyzing his discourse employed in livestreaming. Re- search findings suggest that in attention economy, Li strategically utilizes his male gender as a resource in trying on lipsticks for female customers. His dis- course in multiple modes serves to build consumer trust and propagate products. An in-depth analysis of his discursive strategies indicates that, ecommerce livestreaming as a new form of advertising not only shares commonalities with traditional advertisement discourse but also embodies affordances that are spe- cific to livestreaming platforms. To be more specific, livestreaming is featured with delimitation of time, real-time interactivity, and video-aided communica- tion. These affordances enable Li to adopt more interactive and personalized per- suasive discourse than conventional advertisement