Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Logistic map
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Robert May's research=== [[File:BobMayHarvard.jpg|thumb|Robert May (photographed in 2009)]] Later, in the early 1970s, mathematical biologist Robert May encountered the model of equation (1β2) while working on an ecological problem. <!--[ 354 ]--> May introduced equation (1β2), i.e., the logistic map, by discretizing the logistic equation in time. <!--[ 355 ]--> He mathematically analyzed the behavior of the logistic map, and published his results in 1973 and 1974. <!--[ 356 ]--> Numerical experiments were performed on the logistic map to investigate the change in its behavior depending on the parameter {{mvar|r}}. <!--[ 357 ]--> In 1976, he published a paper in ''Nature'' entitled "Simple mathematical models with very complicated dynamics". <!--[ 26 ]--> This paper was a review paper that focused on the logistic map and emphasized and drew attention to the fact that even simple nonlinear functions can produce extremely complex behaviors such as period-doubling bifurcation cascades and chaos. <!--[ 358 ]--> This paper in particular caused a great stir and was accepted by the scientific community due to May's status as a mathematical biologist, the clarity of his research results, and above all, the shocking content that a simple parabolic equation can produce surprisingly complex behavior. <!--[ 359 ]--> Through May's research, the logistic map attracted many researchers to chaos research and became such a famous mathematical model that it is said to have restarted the flow of chaos research. <!--[ 360 ]-->
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)