Creation of a complex butterfly attractor using a novel Lorenz-type system
Elwakil, Ahmed S.
Kennedy, Michael Peter
A novel Lorenz-type system of nonlinear differential equations is proposed. Unlike the original Lorenz system, where the chaotic dynamics remain confined to the positive half-space with respect to the Z state variable due to a limiting threshold effect, the proposed system enables bipolar swing of this state variable. In addition, the classical set of parameters (a, b, c) controlling the behavior of the Lorenz system are reduced to a single parameter, namely a. Two possible modes of operation are admitted by the system; switching between these two modes results in the creation of a complex butterfly chaotic attractor. Numerical simulations and results from an experimental setup are presented
Chaos , Lorenz system , Chaotic oscillators
Elwakil, A.S., Ozoguz, S., Kennedy, M.P., 2002. Creation of a complex butterfly attractor using a novel Lorenz-Type system. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications , 49(4), pp.527-530. doi: 10.1109/81.995671
©2002 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.