Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1038/510036a | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
On exact statistics and classification of ergodic systems of integer dimension.
Chaos
June 2014
Department of Physics, Brown University, Providence, Rhode Island 02912, USA.
We describe classes of ergodic dynamical systems for which some statistical properties are known exactly. These systems have integer dimension, are not globally dissipative, and are defined by a probability density and a two-form. This definition generalizes the construction of Hamiltonian systems by a Hamiltonian and a symplectic form.
View Article and Find Full Text PDFOn the asymptotics of the Hopf characteristic function.
Chaos
September 2012
Department of Physics, Brown University, Providence, Rhode Island 02912, USA.
We study the asymptotic behavior of the Hopf characteristic function of fractals and chaotic dynamical systems in the limit of large argument. The small argument behavior is determined by the moments, since the characteristic function is defined as their generating function. Less well known is that the large argument behavior is related to the fractal dimension.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!