MMN-1407
Analysis of chaotic and hyperchaotic conservative complex nonlinear systems
Abstract
The aim of this paper is to introduce and analyze chaotic and hyperchaotic conservative
complex nonlinear systems. These systems appear in several branches of
applied sciences. Lyapunov exponents are calculated to observe chaotic and hyperchaotic
behaviors. The wide range of systems parameters at which chaotic and
hyperchaotic solutions exist is calculated. The modules for complex variables are
computed and plotted. The projections of chaotic and hyperchaotic solutions are
shown in 3- spaces and 2-planes. The systems of this paper leave rooms for further
studies in the near future, e.g. control and several types of synchronization of the
solutions of these systems.
Vol. 18 (2017), No. 1, pp. 315-326