منابع مشابه
Instant Chaos
One of the predominant themes of nonlinear dynamics during the past twenty years has been the characterization of the \routes to chaos". Within generic families of vector elds, there are ubiquitous patterns that describe how qualitative properties of vector elds can change with a varying parameter. Bifurcation theory classiies these patterns, and they form the substrate for determining the rout...
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In a recent Letter in Nature, Gaspard et al. 1] claimed to present empirical evidence for microscopic chaos on a molecular scale from an ingenious experiment using a time series of the positions of a Brownian particle in a liquid. The Letter was preceded by a lead article 2] emphasising the fundamental nature of the experiment. In this note we demonstrate that virtually identical results can be...
متن کاملSignatures of homoclinic motion in quantum chaos.
Homoclinic motion plays a key role in the organization of classical chaos in Hamiltonian systems. In this Letter, we show that it also imprints a clear signature in the corresponding quantum spectra. By numerically studying the fluctuations of the widths of wave functions localized along periodic orbits we reveal the existence of an oscillatory behavior that is explained solely in terms of the ...
متن کاملIs fibrillation chaos?
Ventricular fibrillation is examined to determine whether it is an instance of deterministic chaos. Surface ECGs from dogs in fibrillation were used to generate a state space representation of fibrillation. Our analysis failed to identify a low-dimensional attractor that could be associated with fibrillation. The results suggest that fibrillation is similar to a nonchaotic random signal. We not...
متن کاملInvestigating Chaos in Tehran Stock Exchange Index
Modeling and analysis of future prices has been hot topic for economic analysts in recent years. Traditionally, the complex movements in the prices are usually taken as random or stochastic process. However, they may be produced by a deterministic nonlinear process. Accuracy and efficiency of economic models in the short period forecasting is strategic and crucial for business world. Nonlinear ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1996
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0131