5 edition of Dimensions and Entropies in Chaotic Systems found in the catalog.
|LC Classifications||March 22, 1989|
|The Physical Object|
|Pagination||xvi, 75 p. :|
|Number of Pages||84|
nodata File Size: 1MB.
When a system is far-from-equilibrium, the slightest flux can be amplified into structure-annihilating waves. Jones, "Transverse effects in nonlinear optical systems," Proceeding of the International Society of Optical Engineering, Nonlinear Optics and Materials, Eds.
By rejecting it, we run the danger of rejecting our selves. As one of the most basic applications of these methods, dimensions have been used to discriminate between chaos and noise.
Then, we will describe four different approaches from far-flung disciplines. Prigogine and Stengers comment further on the so-called consciousness of dynamic systems: Near bifurcation, systems present large fluctuations.
- Invisible Errors in Dimension Calculations: Geometric and Systematic Effects. Chaos theory does suggest that God, in the forefront of science as usual has outstripped us once again. Liu, Yuansheng; Tang, Jie; Xie, Tao 2014-08-01. This cosmic trinity of chaos, matter, and attraction lies at the heart of chaos theory. "A Banach space which admits no chaotic operator".
The states that a two-dimensional differential equation has very regular behavior. - Chaos in Open Flow Systems. Our procedure allows not just to look for hints of veiled dimensions in our microscopic or macroscopic Universe, but also to use abstract dimensions in order to evaluate natural paths. There it combines with a similarly generated output from the other sensory systems to form a GESTALT. This research appeared in SCIENTIFIC AMERICAN, February 1991.
In common usage, "chaos" means "a state of disorder".
The theory was summarized by as: Chaos: When the present determines the future, but the approximate present does not approximately determine the future.
The online content is identical to the hardcopy text.
"Chaotic dynamics in autonomic nervous system activity of a patient during a psychotherapy session".
This led to the development of notions of various dimensions and entropies, which can be associated to the attractor, dynamical system or invariant measure.