NTNUJAVA Virtual Physics Laboratory
Enjoy the fun of physics with simulations!
Backup site http://enjoy.phy.ntnu.edu.tw/ntnujava/
July 14, 2020, 08:01:31 pm *
Welcome, Guest. Please login or register.
Did you miss your activation email?

Login with username, password and session length
   Home   Help Search Login Register  
Simplicity is the ultimate sophistication. ..."da Vinci (1452-1519, Italian artist, sculptor, painter, architect, engineer and scientist) "
Google Bookmarks Yahoo My Web MSN Live Netscape Del.icio.us FURL Stumble Upon Delirious Ask FaceBook

Pages: [1]   Go Down
Author Topic: LogisticMap  (Read 3828 times)
0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
Fu-Kwun Hwang
Hero Member
Offline Offline

Posts: 3085

Embed this message
on: June 13, 2010, 02:13:14 pm » posted from:Taipei,T\'ai-pei,Taiwan

The logistic map
The logistic equation was first proposed by Robert May as a simple model of population dynamics. This equation can be written as a one-dimensional difference equation that transforms the population in one generation, xn, into a succeeding generation, xn+1.
xn+1 = 4 r xn (1-xn)
Because the population is scaled so that the maximum value is one, the domain of x falls on the interval [0; 1].
The behavior of the logistic equation depends on the value of the growth parameter, r. If the growth parameter is less than a critical value r<0.75.., then x approaches a stable fixed value. Above this value for r, the behavior of x begins to change. First the population begins to oscillate between two values. If r increases further, then x oscillates between four values. Then eight values. This doubling ends when r > 0.8924864... after which almost any x value is possible.
Author : Francisco Esquembre and Wolfgang Christian.
Text and original idea from the Open Source Physics project manual
Date : July 2003

Embed a running copy of this simulation

Embed a running copy link(show simulation in a popuped window)
Full screen applet or Problem viewing java?Add http://www.phy.ntnu.edu.tw/ to exception site list
Press the Alt key and the left mouse button to drag the applet off the browser and onto the desktop. This work is licensed under a Creative Commons Attribution 2.5 Taiwan License
  • Please feel free to post your ideas about how to use the simulation for better teaching and learning.
  • Post questions to be asked to help students to think, to explore.
  • Upload worksheets as attached files to share with more users.
Let's work together. We can help more users understand physics conceptually and enjoy the fun of learning physics!

* LogisticMap.gif (4.9 KB, 291x269 - viewed 351 times.)
Offline Offline

Posts: 2

Embed this message
Reply #1 on: December 11, 2019, 10:22:23 am » posted from:,,Satellite Provider

I know it's too hard to understand. But the knowledge in the body.
Pages: [1]   Go Up
Simplicity is the ultimate sophistication. ..."da Vinci (1452-1519, Italian artist, sculptor, painter, architect, engineer and scientist) "
Jump to:  

Powered by MySQL Powered by PHP Powered by SMF 1.1.13 | SMF © 2006-2011, Simple Machines LLC Valid XHTML 1.0! Valid CSS!
Page created in 0.04 seconds with 22 queries.since 2011/06/15