The Control of Dynamical Systems - Recovering Order from Chaos -

Details The Control of Dynamical Systems - Recovering Order from Chaos - The Control of Dynamical Systems - Recovering Order from Chaos -

2000-08-04

arxiv.org/abs/nlin/0008006v1

AIP Conf. Proc. 500, 551-570 (2000)

Nonlinear Sciences

Chaotic Dynamics

18 pages, 9 figures. Invited Talk at the XXIth International Conference on the Physics of Electronic and Atomic Collisions (IC

Scientific paper

10.1063/1.1302686

Following a brief historical introduction of the notions of chaos in dynamical systems, we will present recent developments that attempt to profit from the rich structure and complexity of the chaotic dynamics. In particular, we will demonstrate the ability to control chaos in realistic complex environments. Several applications will serve to illustrate the theory and to highlight its advantages and weaknesses. The presentation will end with a survey of possible generalizations and extensions of the basic formalism as well as a discussion of applications outside the field of the physical sciences. Future research avenues in this rapidly growing field will also be addressed.

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