Abstract

Chaos is ubiquitous and extremely complicated phenomenon in the decision of nonlinear systems. Bifurcations of periodic, quasi-periodic and chaotic oscillations are frequently observed in forced nonlinear circuits described by no autonomous differential equations with a periodic external forcing term. Qualitative analysis using the Poincare mapping is commonly applied in the study of bifurcation phenomena as well as in numerical analysis of periodic and non-periodic solutions. In the measurement of electronics, electrical engineering, when the measurement object is nonlinear, the results of measurement may occur as chaotic state. The study used the nonlinear circuit as the measure model, studies probability density of "Pseudo-Temperature", which can be used to represent the degree of chaotic states and provides a new way of quantitative analysis to chaotic states of the nonlinear measure system. The experiment results show Pseudo-Temperature is new characteristic parameters, it can measure wide-area information from the normal to the randomness in the chaotic state.

Keywords:

Chaotic, nonlinear circuit, probability density, pseudo temperature,

References

Competing interests

The authors have no competing interests.

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Copyright

The authors have no competing interests.