Switching between Dissipative and Conservative Behaviors in a Modified Hyperchaotic System with the Variation of Its Parameter

Abstract

The paper reports a modified 4D autonomous hyperchaotic system with an unusual characteristic. The modified system exhibits dissipative behavior for some ranges of a parameter and conservative behavior for the other ranges of the same parameter. Thus, there is a switching between dissipative and conservative behaviors of the proposed system. In the conservative range, the system exhibits chaotic orbit. Again in the dissipative range, the system, with its considered sets of parameters, exhibits strange attractors. Thus, both the dissipative and conservative behaviors exist in the same system with the switching of its parameter. Such behavior of a system is rarely reported in the literature. Further, the equilibria of the system are located on the surface-shape. The proposed system is implemented and simulated using Field Programmable Gate Array (FPGA) and Multisim simulation softwares.