DIGITAL CONTROL AS SOURCE OF CHAOTIC BEHAVIOR
2010 ◽
Vol 20
(05)
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pp. 1365-1378
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Keyword(s):
In the present paper, we introduce and analyze a mechanical system, in which the digital implementation of a linear control loop may lead to chaotic behavior. The amplitude of such oscillations is usually very small, this is why these are called micro-chaotic vibrations. As a consequence of the digital effects, i.e. the sampling, the processing delay and the round-off error, the behavior of the system can be described by a piecewise linear map, the micro-chaos map. We examine a 2D version of the micro-chaos map and prove that the map is chaotic.
Keyword(s):
2015 ◽
Vol 25
(13)
◽
pp. 1550184
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Keyword(s):
1983 ◽
Vol 33
(1)
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pp. 195-221
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2012 ◽
Vol 241-244
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pp. 2728-2731
Keyword(s):
2015 ◽
Vol 25
(03)
◽
pp. 1530006
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2015 ◽
Vol 25
(13)
◽
pp. 1550177
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2011 ◽
Vol 16
(2)
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pp. 916-927
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