Free Newsletters - Space News - Defense Alert - Environment Report - Energy Monitor
. 24/7 Space News .




TIME AND SPACE
Probing the edge of chaos
by Staff Writers
Heidelberg, Germany (SPX) Mar 03, 2014


File image: central limit theorem.

The edge of chaos-right before chaos sets in-is a unique place. It is found in many dynamical systems that cross the boundary between a well-behaved dynamics and a chaotic one.

Now, physicists have shown that the distribution-or frequency of occurrence-of the variables constituting the physical characteristics of such systems at the edge of chaos has a very different shape than previously reported distributions.

The results, by Miguel Angel Fuentes from the Santa Fe Institute in New Mexico, USA, and Universidad del Desarrollo, Chile, and Alberto Robledo from the National Autonomous University of Mexico, Mexico City, are published in EPJ B. This could help us better understand natural phenomena with a chaotic nature.

In probability theory, the central limit theorem was first developed by an 18th century French mathematician named Abraham de Moivre.

It applies to independent random physical quantities or variables, each with a well-defined expected value and well-defined way of varying. This theorem states that once iterated a sufficiently large number of times, these variable physical quantities will be approximately distributed along a central limit-also referred to as the attractor. In chaotic and standard random systems, such distribution is in the shape of a bell curve.

Now, new central limit theorems are emerging for more complex physical processes, such as natural phenomena. In this study, the authors took existing knowledge of the specific position of the attractor at the edge of chaos.

To do so, they employed a mathematical formula called the logistic map as a particular example of the dynamic system under study. They found that the distribution of physical properties of such dynamic systems at this specific point at the edge of chaos has a fractal structure not previously known.

M. A. Fuentes and A. Robledo (2014), Sums of variables at the onset of chaos, European Physical Journal B, DOI 10.1140/epjb/e2014-40882-1

.


Related Links
Springer
Understanding Time and Space






Comment on this article via your Facebook, Yahoo, AOL, Hotmail login.

Share this article via these popular social media networks
del.icio.usdel.icio.us DiggDigg RedditReddit GoogleGoogle




Memory Foam Mattress Review
Newsletters :: SpaceDaily :: SpaceWar :: TerraDaily :: Energy Daily
XML Feeds :: Space News :: Earth News :: War News :: Solar Energy News





TIME AND SPACE
A forgotten model of the universe
Heidelberg, Germany (SPX) Feb 21, 2014
A paper published in EPJ H provides the first English translation and an analysis of one of Albert Einstein's little-known papers, "On the cosmological problem of the general theory of relativity." Published in 1931, it features a forgotten model of the universe, while refuting Einstein's own earlier static model of 1917. In this paper, Einstein introduces a cosmic model in which the unive ... read more


TIME AND SPACE
China Focus: Uneasy rest begins for China's troubled Yutu rover

China's Lunar Lander Still Operational

Is Yutu Stuck?

Japan's Pocari Sweat bound for the moon: maker

TIME AND SPACE
NASA's Curiosity Mars Rover Views Striated Ground

NASA Mars Orbiter Views Opportunity Rover on Ridge

Curiosity Adds Reverse Driving for Wheel Protection

Curiosity Drives On After Crossing Martian Dune

TIME AND SPACE
Last Shuttle Commander Virtually Flies Boeing CST-100 to ISS

DARPA Open Catalog Makes Agency-Sponsored Software and Publications Available to All

India unveils its own astronaut crew capsule, plans test launch

Orion Underway Recovery Testing Begins off the Coast of California

TIME AND SPACE
The Next Tiangong

No Call for Yutu

What's up, Yutu

China's Jade Rabbit rover comes 'back to life'

TIME AND SPACE
Cosmonauts on space station to turn teacher for Russian students

Space suit leak happened before, NASA admits

NASA Seeks US Industry Feedback on Options for Future ISS Cargo Services

NASA, International Space Station Partners Announce Future Crew Members

TIME AND SPACE
Russia to Start Building New Manned Rocket Launch Pad in 2015

New Vostochny space center a key priority for Russian Far East

First Copernicus satellite at launch site

'Mission of Firsts' Showcased New Range-Safety Technology at NASA Wallops

TIME AND SPACE
Kepler Mission Announces a Planet Bonanza, 715 New Worlds

Detection of Water Vapor in the Atmosphere of a Hot Jupiter

Water is Detected in a Planet Outside Our Solar System

NASA cries planetary 'bonanza' with 715 new worlds

TIME AND SPACE
Penn Researchers 'Design for Failure' With Model Material

In the eye of a chicken, a new state of matter comes into view

USAF reveals 'neighborhood watch' satellite program

Science publisher fooled by gibberish papers




The content herein, unless otherwise known to be public domain, are Copyright 1995-2014 - Space Media Network. All websites are published in Australia and are solely subject to Australian law and governed by Fair Use principals for news reporting and research purposes. AFP, UPI and IANS news wire stories are copyright Agence France-Presse, United Press International and Indo-Asia News Service. ESA news reports are copyright European Space Agency. All NASA sourced material is public domain. Additional copyrights may apply in whole or part to other bona fide parties. Advertising does not imply endorsement, agreement or approval of any opinions, statements or information provided by Space Media Network on any Web page published or hosted by Space Media Network. Privacy Statement All images and articles appearing on Space Media Network have been edited or digitally altered in some way. Any requests to remove copyright material will be acted upon in a timely and appropriate manner. Any attempt to extort money from Space Media Network will be ignored and reported to Australian Law Enforcement Agencies as a potential case of financial fraud involving the use of a telephonic carriage device or postal service.