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Home  >  Volume 28. No.1 (Nov. 2014)

8. Validation of Kaplan-Yorke Conjecture for some Attractors by Abayomi Samuel Oke - Volume28, No. 1, (November, 2014), pp47 – 50
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Chaos is a term common in nonlinear dynamics. In fact, most researches are done to investigate or exploit the concept of chaos in dynamical systems. Various tools for investigating the behaviours of dynamical systems, without solving analytically, have been developed over the  years. One of the common techniques is the computation of the Dimensions. Capacity Dimensions, Information Dimensions, Lyapunov Dimensions, etc. 

are different types of dimensions and they are named according to how they are computed. Kaplan and Yorke (1979) conjectured that the Lyapunov dimension and 

Information dimension are equal. This paper verified this conjecture for the Lorenz and the Duffing attractors. 

Keywords:Chaos, Variational Equations, Lyapunov Exponents, Dimensions