Properties of delayed feedback and the problem of control in nonlinear difference systems
The goal of this paper is to study the stabilization of chaos in dynamical systems by adding nonlinear feedback. We analyze what happens when two control parameters, the gain and the parameter memory, are considered. It is shown that the introduction of the additional control of the memory parameter...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2016
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| Sorozat: | Acta scientiarum mathematicarum
82 No. 3-4 |
| Kulcsszavak: | Trigonometrikus polinomok, dinamikus rendszerek, káosz optimális kontrollálása, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-014-522-z |
| Online Access: | http://acta.bibl.u-szeged.hu/46321 |
| Tartalmi kivonat: | The goal of this paper is to study the stabilization of chaos in dynamical systems by adding nonlinear feedback. We analyze what happens when two control parameters, the gain and the parameter memory, are considered. It is shown that the introduction of the additional control of the memory parameter does not extend the class of admissible maps. It appears, however, that a stabilizing control may use a variety of time shifts. In this case, one can change the nature of the decay of a chaotic regime, making it smoother, which may be of significance in the management of biological, economical and medical systems. |
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| Terjedelem/Fizikai jellemzők: | 467-480 |
| ISBN: | 0001-6969 |