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On Discrete Chaotic Systems that Preserve Absolutely Continuous Invariant Measures
by
Huang Weihong
Division of Economics, Nanyang Technological University
The solutions to a special class of inverse Frobenius-Perron problem are studied. Several general formulations for discrete chaotic systems that preserve absolutely continuous invariant measures are provided. An implication relationship among this class of system is revealt, which helps to derive a whole family of chaotic systems that do not only preserve the same invariant measure but also share some identical branches.
Date received: October 10, 2006
Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # catb-16.