Controlling Chaos in Damped and Driven Morse Oscillator via Slave-Master Feedback |
| S. Behniaa, A. Akhshanib,c, M. Panahib and R. Asadid
aDepartment of Physics, Urmia University of Technology, Orumieh, Iran bDepartment of Physics, IAU, Orumieh Branch, Orumieh, Iran cSchool of Physics, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia dDepartment of Computer, IAU, Orumieh Branch, Orumieh, Iran |
| Received: May 6, 2012; In final form: May 17, 2012 |
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| The dynamical behavior of the Morse oscillator is investigated primarily by means of the Lyapunov exponent and bifurcation diagrams. Then, the problem of controlling chaos for this oscillator is studied using a new method introduced by Behnia and Akhshani, which is based on the construction of slave-master feedback. In the control model based on slave-master feedback, the oscillator as the slave system is coupled with a dynamical system as the master, so its implementation becomes quite simple and similar statements can be made for the high dimensional cases. The validity of this method is verified by numerical simulations. The obtained results show the effectiveness of the proposed control model. |
DOI: 10.12693/APhysPolA.123.7 PACS numbers: 05.45.-a, 05.45.Gg, 05.45.Pq |