Inherent global stabilization of unstable local behavior in coupled map lattices

The behavior of two-dimensional coupled map lattices is studied with respect to the global stabilization of unstable local fixed points without external control. It is numerically shown under which circumstances such inherent global stabilization can be achieved for both synchronous and asynchronous updating. Two necessary conditions for inherent global stabilization are derived analytically.Comment: 17 pages, 10 figures, accepted for publication in Int.J.Bif.Chao

Investigating deviations from dynamical randomness with scaling indices

The information contained in any given experimental time series can be utilized more exhaustively when transition probabilities between states are studied rather than state probabilities alone. Using advanced techniques of time series analysis, it is shown that deviations from dynamical randomness indicate evidence for unexpected temporal correlation features in selected data sets taken from a mind-matter experiment conducted at Freiburg (Germany). The techniques of analysis and a proper error estimation are brie y described, and some preliminary rst results are presented. They encourage further inquiry into processual aspects of deviations from randomness in addition to more straightforward analyses of state probabilities. 1

From the dynamics of coupled map lattices to the psychological arrow of time

Abstract. Stable neuronal assemblies are generally regarded as neural correlates of mental representations. Their temporal sequence corresponds to the experience of a direction of time, sometimes called the psychological time arrow. We show that the stability of particular, biophysically motivated models of neuronal assemblies, called coupled map lattices, is supported by causal interactions among neurons and obstructed by non-causal or anti-causal interactions among neurons. This surprising relation between causality and stability suggests that those neuronal assemblies that are stable due to causal neuronal interactions, and thus correlated with mental representations, generate a psychological time arrow. Yet this impact of causal interactions among neurons on the directed sequence of mental representations does not rule out the possibility of mentally less efficacious non-causal or anti-causal interactions among neurons. 1

Nonlinear Analysis of Interior Diameter Turning Experiments

: This article provides a comprehensive account of the application of the main theorems from the theory of nonlinear dynamics to experimental data of chatter vibrations. The description of the complex oscillations are based on experimental investigations from interior diameter turning experiments. The theory of nonlinear dynamics and stochastic analysis have been considered to explain such phenomena as chatter, squeal and complex behavior. Two experimental time series are characterized using phase portraits and power spectra. Furthermore, the correlation integral and the maximal Lyapunov exponent have been determined. In addition, the scaling index method (SIM) is used to point out structural differences in force space. Keywords: Production process, nonlinear dynamics, interior diameter turning. Introduction Turning is a classic method for manufacturing surfaces using geometrically defined cutting inserts. Interior diameter turning is a special case, where a revolving workpiece with..