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	Volume 14, Issue 2 Pg 89 - 182 (November 2010)
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Far East Journal of Dynamical Systems

given by

in which

is a suitable parameter. Firstly, we establish the Feigenbaum tree of bifurcation points leading to a chaotic region; secondly, the graphs of the time series analysis are demonstrated in order to support our periodic orbits of periods

and thirdly, we calculate Lyapunov exponents for confirmation of the existence of the chaotic region. These results have opened up further research work in other chaotic models of this kind.

Far East Journal of Dynamical Systems
Volume 14, Issue 2, Pages 125 - 140 (November 2010)

TIME SERIES ANALYSIS AND LYAPUNOV EXPONENTS FOR A FIFTH DEGREE CHAOTIC MAP
Nabajyoti Das and Nilima Dutta

Abstract:
In this paper, we highlight three objectives on a nonlinear fifth degree chaotic unimodal map

given by

in which

and thirdly, we calculate Lyapunov exponents for confirmation of the existence of the chaotic region. These results have opened up further research work in other chaotic models of this kind.

Keywords and phrases: Feigenbaum tree, bifurcation points, time series graphs, Lyapunov exponents.

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