We investigate collective motion in high dimensional chaos, where all elements in a population behaves chaotically and incoherently in appearance. Numerical experiments for globally coupled tent maps show the existence of a quasi-periodic collective motion even under slight interaction. It is found that the amplitude of the collective motion F is scaled as, KF ∝ exp(−K−1), by the coupling stren...

BACKGROUND A critical conceptual step in epilepsy surgery is to locate the causal region of seizures. In practice, the causal region may be inferred from the set of electrodes showing early ictal activity. There would be advantages in deriving information about causal regions from interictal data as well. We applied Granger's statistical approach to baseline interictal data to calculate causal ...

We consider causal time-invariant nonlinear inputoutput maps that take a set of bounded functions into a set of real-valued functions, and we give criteria under which these maps can be uniformly approximated arbitrarily well using a certain structure consisting of a notnecessarily linear dynamic part followed by a nonlinear memoryless section that may contain sigmoids or radial basis functions...

The purpose of this study was to investigate the effect of satellite networks (GEM TV and Farsi 1) on the religious beliefs of youth in the city of Farashband. The type of research in terms of purpose, applied and in terms of data collection, was causal-comparative. The statistical population of this study is all the youths of the Farashband city in 2015, which includes 7569 people. The sample ...

Fuzzy Cognitive Maps (FCMs) have been proposed to represent causal reasoning by using numeric processing. They graphically represent uncertain causal reasoning. In the resonant states, there emerges a limit cycle or a hidden pattern, which is a FCM inference. However, there are some shortcomings concerned with knowledge representation in the conventional FCMs. In this paper, we propose Extended...

The study of rare events in molecular and atomic systems such as conformal changes cluster rearrangements has been one the most important research themes chemical physics. Key challenges are associated with long waiting times rendering simulations inefficient, high dimensionality impeding use PDE-based approaches, complexity or breadth transition processes limiting predictive power asymptotic m...

IT projects are known for the high rate at which they fail. Past work by the authors has investigated the building of cognitive causal maps to find and represent what the participants in a project feel are factors that lead to project success or failure. It was found that while agreement can often be reached on the broad causes of failure, there tended to be differences about the precise nature...

We show, using generic globally coupled systems, that the collective dynamics of large chaotic systems is encoded in their Lyapunov spectra: most modes are typically localized on a few degrees of freedom, but some are delocalized, acting collectively on the trajectory. For globally coupled maps, we show, moreover, a quantitative correspondence between the collective modes and some of the so-cal...