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In this paper, a high efficient differential chaos shift keying (DCSK) based on frequency division multiplexing (FDM) communication system, namely FDM-HEDCSK is proposed. The scheme has two branches and a serial-parallel converter to achieve four attainable bit rates and improve communication security in comparison to DCSK. In this scheme, the combination of two chaos signals is used as the reference...
In this article, an effort has been made to investigate the nonlinear and chaotic nature of daily CME linear speed time series data collected from the Solar and Heliospheric Observatory for solar cycle 23 over the period of February 1999 to December 2007. To explore the nonlinear characteristic of the CME linear speed signal delay vector variance algorithm is used whereas 0–1 test, information entropy...
Based on the analysis of the spectrum and phase plane trajectory of abnormal vibration signals of the CSP rolling mill, this paper studies the phase space reconstruction of the time series signals of abnormal vibration of the rolling mill and relevant technologies, and calculates the maximal Lyapunov exponent of abnormal vibration signals under various sheet rolling conditions. Results show that the...
Human locomotion is a complex nonlinear process, which researchers have started to analyze using nonlinear dynamics analysis. This study investigates and quantifies the chaotic dynamics of walking gaits using different tools of nonlinear time-series analysis. The application of nonlinear dynamics techniques to gait cycle sequences may unveil the complexity of the human walking. For the walking gaits,...
Chaotic analysis of hydrological series revealed the presence of chaotic structures. As such, a Chaotic Neural Network model was proposed for daily rainfall-runoff. The approach is based on the combination of the series generated by the reconstruction of the phase space according to the method of Takens, in an artificial neural network. The results are very encouraging and open the prospects for other...
In this paper, we employed both traditional and chaotic approaches for time series forecasting. It concerns the forecasting of cash withdrawal amounts at automated teller machines (ATMs) for which the NN5 forecasting competitions data was used. The data consists of 111 time series representing daily withdrawal amounts. In the first method (traditional, non-chaotic) missing values of the time series...
In this study, a chaotic analysis approach was applied to a time series composed of seismic moment of events occurred in mine of Dong Gaussian copper mine subordinate to Tong Ling Nonferrous Metals Group Co. In Anhui province, China. The chaotic attractor dimension and the largest lyapunov index were put forward to determine whether the seismic flow of rock is chaotic and the degree of chaos. The...
Traditionally embedding parameters: embedding dimension m and delay time τ are determined separately in state space reconstruction of chaotic dynamical systems. While recently some researchers argued that delay time window τw = (m-1)τ should be determined first. In this paper we carry out a contrast test and come to a conclusion that m rather than τw is more crucial for the quality of reconstruction...
This paper describes a new forecasting technique based on multi-model ensemble in high-dimensional chaotic system. A chaotic model is built from the time series reconstruction in the time-delayed high-dimensional phase space. The chaotic model forecasts are made by the adaptive multi-local models constructed based on the dynamical neighbors found in this space. We utilize several different predictive...
This paper presents a new approach to short-term wind speed prediction. The chaotic time series analysis method is used to capture the characteristic of complex wind behavior in which a correlation dimension method is employed to calculate embedding dimension of the time series, then a mutual information method is used to determine the time delay. Based on the embedding dimension and time delay, support...
A modified Cao method has been proposed in this paper, which is a new phase space reconstruction algorithm using multiple delay embedded. Through the proposed method, the minimum embedding dimension and the best time delay could be determined under a unified criterion, so that the applications of Cao method can be expanded. The numeral simulation demonstrates that, compared with the single-delay embedded...
Takens's Delay Embedding Theorem is used in the paper to reconstruct the phase space of Lorenz chaotic signal, the intercepted length of which is researched with the ensurance of the Lyapunov exponents characteristic of Lorenz chaotic signal. And the method of intercepted length is proposed when reconstructing Lorenz chaotic signal without destroying Lyapunov exponents characteristic. Simulation results...
Forecasting of power load demand is the precondition to guarantee power system security and its safe supply. According to the complexity and non-linearity of power load demand, this paper proposed a new short term power load forecasting model based on chaos theory. The proposed method makes use of chaos time series analysis to capture characteristics of complicated load behavior. First the chaotic...
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