Phase-space correlation functions and isolating integrals

1984 ◽  
Vol 281 ◽  
pp. 473 ◽  
Author(s):  
P. Carnevali ◽  
P. Santangelo
2010 ◽  
Vol 159 ◽  
pp. 138-143 ◽  
Author(s):  
Jian Xi Yang ◽  
Jian Ting Zhou

BHM is an important means to assess and predict the safety operation of large bridge in service around the world. Given the missing of real-time monitoring information for some time and the lack of effective theory and technique to capture the missing information and even to predict the evolution of structure, this paper made an attempt to predict the evolution of monitoring information using time series and chaotic theory. Firstly, maximum Lyapunov exponent of available monitoring information is calculated to assess the chaos of the bridge structure. The parameters of reconstructed phase space, correlation dimension and time delay, are calculated by C-C algorithm and G-P algorithm respectively. According to empirical formula, one 3-layer BP neural network is established Ten recursions are carried out. The results show that multi-layer recursive BP neural network is able to predict BHM information. Using chaotic time series to reconstruct phase space and applying multi-layer recursive BP neural network to predict BHM information facilitates further estimation and prediction of bridge safety condition by means of chaotic nonlinear characteristics.


1997 ◽  
Vol 479 (1) ◽  
pp. 82-89 ◽  
Author(s):  
C. W. Shepherd ◽  
R. G. Carlberg ◽  
H. K. C. Yee ◽  
E. Ellingson

2019 ◽  
Vol 886 (1) ◽  
pp. L7 ◽  
Author(s):  
Khyati Malhan ◽  
Rodrigo A. Ibata ◽  
Raymond G. Carlberg ◽  
Michele Bellazzini ◽  
Benoit Famaey ◽  
...  

2018 ◽  
Vol 14 (S344) ◽  
pp. 473-476
Author(s):  
Oliver Müller

AbstractThe phase-space correlation of dwarf galaxies around the Milky Way and the Andromeda galaxy pose a serious challenge to our understanding of structure formation. Recently, another planar structure was discovered around Cen A, the major galaxy of the Centaurus group. We have surveyed this galaxy group for new dwarf galaxies and presented the discovery of 57 new dwarf member candidates. Furthermore, we have studied the kinematics of previously known dwarfs and again found a kinematic coherence in their movement, similar to the Local Group satellites. In CDM simulations, such an alignment appears in less than 0.5 percent.


2015 ◽  
Vol 17 (9) ◽  
pp. 093027 ◽  
Author(s):  
Gabriele Gradoni ◽  
Stephen C Creagh ◽  
Gregor Tanner ◽  
Christopher Smartt ◽  
David W P Thomas

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