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Volumn 57, Issue 3, 1998, Pages R2507-R2510

Targeting chaos through adaptive control

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243593412 PISSN: 1063651X EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevE.57.R2507 Document Type: Article

Times cited : (30)

References (12)

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12
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- While the sign of the control dynamics given above holds in generic cases, there may be situations where the sign of the control dynamics is negative (for instance in the case of parameters σ and [formula presented] in the Lorenz system). This will happen if the value of the initial parameter is larger than the closest parameter which matches the target (not smaller, as is usual). In real implementations (where the dynamics is a black box) a gross scan of the parameter space will give a reasonable indication as to which sign to use
- While the sign of the control dynamics given above holds in generic cases, there may be situations where the sign of the control dynamics is negative (for instance in the case of parameters σ and b in the Lorenz system). This will happen if the value of the initial parameter is larger than the closest parameter which matches the target (not smaller, as is usual). In real implementations (where the dynamics is a black box) a gross scan of the parameter space will give a reasonable indication as to which sign to use.

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