Sentence examples for by a correlation dimension from inspiring English sources
In contrast, the local bubble dynamics is characterized by a correlation dimension that ranges from 1.8 to 2.
The nonlinear dynamics of a gas solid circulating fluidized bed (CFB) was characterized by the correlation dimension and Kolmogorov entropy of time series of three different system variables with different spatio-temporal scales.
The transition between the homogeneous bubbly flow regime and the churn-turbulent flow regime was characterized quantitatively by the correlation dimension.
The data obtained can be analyzed by the correlation dimension obtained from the chaos analysis of pressure fluctuations in the bed.
Thus, it may be feasible to determine changing events such as gap clearance by monitoring the correlation dimension of the system.
The Grassberger Procaccia algorithm yields a non-zero but finite estimate of the K 2-entropy (K 2 = 5.2 10−3 ns−1) with a corresponding correlation dimension D 2 ≈ 2.04.
The bubble properties have been well correlated with the complex bubbling phenomena by means of the correlation dimension.
In the research about traffic characteristics of 3D video formats [4], where the same 3D videos are used, the order of the videos by CoV criteria is exactly the same as in our results for the order of the video by values of the correlation dimension D2.
This statement is supported by the observation that the correlation dimension of the EEG, a measure for consciousness, sharply rises when a painful stimulus is given to an animal in deep anesthesia [12].
In this paper the application of embedding space and fractal dimension estimation to monitor the condition of a system with clearance is considered by examining the effect on the correlation dimension of variations of the gap clearance in a bearing system.
By separating the time series into different regimes, lower dimensional attractors are isolated and quantified by dynamic invariants such as correlation dimension estimates or Lyapunov exponents.
