Pseudo-random sequence generator based on the generalized Henon map

Author(s):  
Fan ZHENG ◽  
Xiao-jian TIAN ◽  
Jing-yi SONG ◽  
Xue-yan LI
2019 ◽  
Vol 33 (21) ◽  
pp. 1950237
Author(s):  
Wen-Jie Xie ◽  
Rui-Qi Han ◽  
Wei-Xing Zhou

It is of great significance to identify the characteristics of time series to quantify their similarity and classify different classes of time series. We define six types of triadic time-series motifs and investigate the motif occurrence profiles extracted from the time series. Based on triadic time series motif profiles, we further propose to estimate the similarity coefficients between different time series and classify these time series with high accuracy. We validate the method with time series generated from nonlinear dynamic systems (logistic map, chaotic logistic map, chaotic Henon map, chaotic Ikeda map, hyperchaotic generalized Henon map and hyperchaotic folded-tower map) and retrieved from the UCR Time Series Classification Archive. Our analysis shows that the proposed triadic time series motif analysis performs better than the classic dynamic time wrapping method in classifying time series for certain datasets investigated in this work.


2008 ◽  
Vol 17 (5) ◽  
pp. 1685-1690 ◽  
Author(s):  
Zheng Fan ◽  
Tian Xiao-Jian ◽  
Li Xue-Yan ◽  
Wu Bin

1988 ◽  
Vol 126 (7) ◽  
pp. 405-410 ◽  
Author(s):  
F.M. Izrailev ◽  
B. Timmermann ◽  
W. Timmermann

2005 ◽  
Vol 4 (2) ◽  
pp. 407-436 ◽  
Author(s):  
V. S. Gonchenko ◽  
Yu. A. Kuznetsov ◽  
H. G. E. Meijer

2019 ◽  
Vol 67 (1) ◽  
pp. 73-78
Author(s):  
Saiful Islam ◽  
Chandra Nath Podder

In this paper, the discrete time generalized Hénon map is considered and the existence of Hopf bifurcation via an explicit criterion for N≥3, in particular for N=4 and N=5 has given. The relation between the parameters a and b as well as the range of the values of the parameters for N=3,4,5 has driven and the existence of Hopf bifurcation is demonstrated for the values of the parameters calculated from their relations. The results of numerical simulations for different values of the parameters are also presented. Dhaka Univ. J. Sci. 67(1): 73-78, 2019 (January)


Author(s):  
Octaviana Datcu ◽  
Jean-Pierre Barbot ◽  
Adriana Vlad

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Jingjing Zheng ◽  
Ziwei Wang ◽  
You Li ◽  
Jinliang Wang

2005 ◽  
Vol 23 (2) ◽  
pp. 617-620 ◽  
Author(s):  
Lilian Huang ◽  
Mao Wang ◽  
Rupeng Feng

Sign in / Sign up

Export Citation Format

Share Document