Ott, Edward Department of Electrical Engineering, Institute for Plasma Research, University of Maryland, College Park, Maryland.
- Exponential sensitivity
- Unstable periodic orbits
- Controlling chaos
- Example of chaos control
- Links to Primary Literature
- Additional Readings
The branch of science known as chaotic dynamics originated with work done around 1900 by the mathematician H. Poincaré. His work and that of others have led to a basic understanding that even very simple systems can evolve with time in a very complex manner. In viewing such time evolution, words such as wild, random, and turbulent come to mind. Furthermore, this basic type of motion is extremely common and occurs in a vast variety of fields. Examples are the motion of thermally convecting fluids, the fluctuations of light intensity in certain laser systems, the motion of celestial bodies (for example, two planets circling a star), and even the irregular beating of a diseased heart. Recently, researchers have realized that chaotic motions can be controlled by means of small perturbing forces. That is, the natural, free-running chaotic motion can be altered in a predetermined way so as to improve the performance of an otherwise chaotic system. This article describes the principles of chaos control and some recent developments in this area. The key defining attribute of chaos that allows the achievement of control with only small perturbations is exponential sensitivity.
The content above is only an excerpt.
for your institution. Subscribe
To learn more about subscribing to AccessScience, or to request a no-risk trial of this award-winning scientific reference for your institution, fill in your information and a member of our Sales Team will contact you as soon as possible.
to your librarian. Recommend
Let your librarian know about the award-winning gateway to the most trustworthy and accurate scientific information.
AccessScience provides the most accurate and trustworthy scientific information available.
Recognized as an award-winning gateway to scientific knowledge, AccessScience is an amazing online resource that contains high-quality reference material written specifically for students. Contributors include more than 9000 highly qualified scientists and 43 Nobel Prize winners.
MORE THAN 8700 articles covering all major scientific disciplines and encompassing the McGraw-Hill Encyclopedia of Science & Technology and McGraw-Hill Yearbook of Science & Technology
115,000-PLUS definitions from the McGraw-Hill Dictionary of Scientific and Technical Terms
3000 biographies of notable scientific figures
MORE THAN 19,000 downloadable images and animations illustrating key topics
ENGAGING VIDEOS highlighting the life and work of award-winning scientists
SUGGESTIONS FOR FURTHER STUDY and additional readings to guide students to deeper understanding and research
LINKS TO CITABLE LITERATURE help students expand their knowledge using primary sources of information