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Home  >  Transactions of NAMP VOL 7

4. DYNAMICAL BEHAVIOR OF THE CLASSICALLY DAMPED DRIVEN MORSE OSCILLATOR, WITH A VARYING FORCING AMPLITUDE AND A CONSTANT DRIVING FREQUENCY. by Usman A. Marte, Usman A. Umar and M. Hassan Transaction Volume 7, (March, 2018), pp23 – 26
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DYNAMICAL BEHAVIOR OF THE CLASSICALLY DAMPED DRIVEN MORSE OSCILLATOR, WITH A VARYING FORCING AMPLITUDE AND A CONSTANT DRIVING FREQUENCY.

Usman A. Marte, Usman A. Umar and M. Hassan

Department of Mathematical sciences, University of Maiduguri, Maiduguri, Nigeria.

Department of Physics, University of Maiduguri, Maiduguri, Nigeria

Abstract

The dynamical behavior of the damped driven Morse oscillator with a fixed forcing frequency is presented; the values of the damping, the natural and the forcing frequencies are kept at constant, while the forcing amplitude is varied. The trajectories, the phase portraits the Poincare sections of some specially selected points suggested from the bifurcation structure and the top Lyapunov exponents were presented. The results show that as the forcing amplitude is varied in some particular range the Morse oscillator under consideration show a very rich dynamical behavior, chaotic and periodic orbits of different periods are found in co-existence, implying that a proper selection of the forcing amplitude can be used in suppressing chaotic behavior and enhancing chaos where it is required.     

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