Analysis of New Four-Dimensional Chaotic Circuits with Experimental and numerical Methods

Dynamically qualitative properties of individual orbits in a new four-dimensional nonlinear circuit are observed on an oscilloscope. Meanwhile, they are also traced numerically with the help of some methods for finding chaos. Comparisons show that the observed results are consistent with the computed ones to a great extent. In addition, the bifurcation, Lyapunvon spectra, fast Lyapunov indicators and small alignment indexes represent almost the same rules of transitivity to chaos on a control parameter. It is found when the parameter has a threshold value from order to chaos, and the chaos gets stronger and stronger, the parameter is smoothly varied from small to large. In particular, the entire set of Lyapunov exponents can lead to another threshold value of the parameter from chaotic to hyperchaotic behaviors.

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