Divergence Measure on a Modified Sprott-C System

In this paper, a modified Sprott-C chaotic system is proposed based on Kolmogrov model, which shows rich dynamic behaviors, especially, the system divergence is related to the variables. To quantitatively evaluate the influence of variable divergence on phase space volume, the ultimate bound and equilibrium point of the system are analyzed and two indicators are proposed. The study shows that the volume of the phase space of the system contracts when the initial divergence is less than 0, while the volume expands first and then contracts when the initial divergence is greater than 0. The influence of the variable divergence on the system is revealed. Furthermore, it is shown that the stability of equilibrium point has no effect on the divergence on the phase space volume.

Abstract licence: CC BY-NC-ND

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