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Dynamics of the logistic map under discrete parametric perturbation

Publication Type : Journal Article

Publisher : Springer

Source : Pramana, Springer, Volume 47, Number 5, p.339–345 (1996)

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Campus : Amritapuri

School : School of Arts and Sciences

Department : Physics

Year : 1996

Abstract : By introducing a periodic perturbation in the control parameter of the logistic map we have investigated the period locking properties of the map. The map then gets locked onto the periodicity of the perturbation for a wide range of values of the parameter and hence can lead to a control of the chaotic regime. This parametrically perturbed map exhibits many other interesting features like the presence of bubble structures, repeated reappearance of periodic cycles beyond the chaotic regime, dependence of the escape parameter on the seed value and also on the initial phase of the perturbation etc.

Cite this Research Publication : P. P. Saratchandran, Dr. V . M. Nandakumaran, and Ambika, G., “Dynamics of the logistic map under discrete parametric perturbation”, Pramana, vol. 47, pp. 339–345, 1996

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