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Universal Behaviour in a “Modulated” Logistic Map

Publication Type : Journal Article

Publisher : Elsevier

Source : Physics Letters A, Elsevier, Volume 125, Number 9, p.465–468 (1987)

Url : http://www.sciencedirect.com/science/article/pii/0375960187901861

Campus : Amritapuri

School : School of Arts and Sciences

Department : Physics

Year : 1987

Abstract : We study the period-doubling bifurcations to chaos in a logistic map with a nonlinearly modulated parameter and show that the bifurcation structure is modified significantly. Using the renormalisation method due to Derrida et al. we establish the universal behaviour of the system at the onset of chaos.

Cite this Research Publication : K. P. Harikrishnan and Dr. V . M. Nandakumaran, “Universal behaviour in a “modulated” logistic map”, Physics Letters A, vol. 125, pp. 465–468, 1987

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