Chaos control: The problem of a bouncing ball revisited

Autor:	M. Cristina Vargas, D. A. Huerta, Victor Sosa
Rok vydání:	2009
Předmět:	Nonlinear Sciences::Chaotic Dynamics CHAOS (operating system) Physics Control of chaos Classical mechanics Computer simulation Synchronization of chaos Chaotic General Physics and Astronomy Bifurcation diagram Bouncing ball dynamics Bifurcation
Zdroj:	American Journal of Physics. 77:857-861
ISSN:	1943-2909 0002-9505
DOI:	10.1119/1.3148565
Popis:	The problem of a body bouncing on a periodically oscillating surface is revisited to demonstrate chaos control. When the bouncing body is magnetic, it is possible to modify its behavior by adding a magnetic driving force. The mechanism of chaos control may be understood by means of a mechanical analysis which shows that the main result of applying the driving force is to shift the bifurcation diagram in such a way that chaotic behavior is replaced by periodic behavior and vice versa. A simple experiment is presented, along with a numerical simulation, that provides insight into chaos control.
Databáze:	OpenAIRE
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