A New Dynamic Phenomenon in Nonlinear Circuits: State-Space Analysis of Chaotic Beats
نویسندگان
چکیده
–In this paper a new dynamic phenomenon in nonlinear circuits driven by two sinusoidal signals is investigated. By exploiting state-space analysis, the paper shows that the application of signals with slightly different frequencies enables the phenomenon of chaotic beats to be obtained. Moreover, the power spectral density and the Lyapunov exponents are computed, with the aim of confirming the chaotic nature of the beats. Finally, in order to analyze in detail the beats phenomenon, the case of two sinusoidal signals with equal frequencies is discussed. Key-Words: Dynamic phenomenon, nonautonomous circuit, chaotic beats, state-space analysis.
منابع مشابه
Chaotic Analysis and Prediction of River Flows
Analyses and investigations on river flow behavior are major issues in design, operation and studies related to water engineering. Thus, recently the application of chaos theory and new techniques, such as chaos theory, has been considered in hydrology and water resources due to relevant innovations and ability. This paper compares the performance of chaos theory with Anfis model and discusses ...
متن کاملBifurcation and Chaos in Size-Dependent NEMS Considering Surface Energy Effect and Intermolecular Interactions
The impetus of this study is to investigate the chaotic behavior of a size-dependent nano-beam with double-sided electrostatic actuation, incorporating surface energy effect and intermolecular interactions. The geometrically nonlinear beam model is based on Euler-Bernoulli beam assumption. The influence of the small-scale and the surface energy effect are modeled by implementing the consistent ...
متن کاملAttractor Based Analysis of Centrally Cracked Plate Subjected to Chaotic Excitation
The presence of part-through cracks with limited length is one of the prevalent defects in the plate structures. Due to the slight effect of this type of damages on the frequency response of the plates, conventional vibration-based damage assessment could be a challenging task. In this study for the first time, a recently developed state-space method which is based on the chaotic excitation is ...
متن کاملA New Circuit for Generating Chaos and Complexity: Analysis of the Beats Phenomenon
– In this paper the attention is focused on the chaotic dynamics of a new circuit driven by two sinusoidal signals. In particular, it is illustrated that the application of signals with slightly different frequencies enables the novel phenomenon of chaotic beats to be generated. Moreover, the paper shows that the proposed circuit can be considered the simplest nonautonomous circuit able to gene...
متن کاملChaotic dynamic analysis and nonlinear control of blood glucose regulation system in type 1 diabetic patients
In this paper, chaotic dynamic and nonlinear control in a glucose-insulin system in types I diabetic patients and a healthy person have been investigated. Chaotic analysis methods of the blood glucose system include Lyapunov exponent and power spectral density based on the time series derived from the clinical data. Wolf's algorithm is used to calculate the Lyapunov exponent, which positive val...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003