ALERT: This system is being upgraded on Tuesday December 12. It will not be available
for use for several hours that day while the upgrade is in progress. Deposits to DukeSpace
will be disabled on Monday December 11, so no new items are to be added to the repository
while the upgrade is in progress. Everything should be back to normal by the end of
day, December 12.
Dynamic Properties of Coupled Maps
Abstract
Dynamic properties are investigated in the coupled system of three maps with symmetric
nearest neighbor coupling and periodic boundary conditions. The dynamics of the system
is controlled by certain coupling parameters. We show that, for some values of the
parameters, the system exhibits nontrivial collective behavior, such as multiple bifurcations,
and chaos. We give computer simulations to support the theoretical predictions.
Type
Other articleSubject
logistic mapsbifurcation
symmetry
system
mathematics, interdisciplinary applications
multidisciplinary sciences
Permalink
https://hdl.handle.net/10161/4321Published Version (Please cite this version)
10.1155/2010/905102Citation
Zhang,Chunrui;Zheng,Huifeng. 2010. Dynamic Properties of Coupled Maps. Discrete Dynamics
in Nature and Society ( ): 905102-905102.
Collections
More Info
Show full item record
Articles written by Duke faculty are made available through the campus open access policy. For more information see: Duke Open Access Policy
Rights for Collection: Scholarly Articles
Works are deposited here by their authors, and represent their research and opinions, not that of Duke University. Some materials and descriptions may include offensive content. More info