Abstract
A novel approach based on cubic B-spline functions has been developed to find solutions of three-dimensional chaotic dynamical systems. Interesting dynamical behavior has been illustrated in figures. We observed that dynamical systems depend very sensitively on the initial condition and corresponding behavior has been captured in numerical simulations. The Butterfly effect is used in the development of weather prediction models and has been depicted graphically. This paper deals with the numerical solutions of Lorenz attractor, Chen, Genesio and a combination of Lorenz and Rossler attractors. The computed solutions are quite accurate, consistent and confirm that the cubic B-spline differential quadrature is a very efficient method to portray complex dynamical behaviors of dynamical systems.
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