Showing papers by "Kishore Bingi published in 2014"
01 Jan 2014
TL;DR: In this article, a novel three-dimensional autonomous chaotic system is proposed, which contains four variational parameters, a cubic nonlinearity term (i.e., product of all the three states) and exhibits a chaotic attractor in numerical simulations.
Abstract: In this paper, a novel three-dimensional autonomous chaotic system is proposed. The proposed system contains four variational parameters, a cubic nonlinearity term (i.e. product of all the three states) and exhibits a chaotic attractor in numerical simulations. The basic dynamic properties of the system are analyzed by means of equilibrium points, Eigen values and Lyapunov exponents. Finally, the commensurate and non-commensurate fractional order form of the system which exhibits chaotic attractor is also analyzed.