Semi-stochastic generation of rock discontinuity networks based on traces exposed on cavern roof

Author(s):  
Qi-Hua Zhang ◽  
Qing-Bing Liu
Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1329
Author(s):  
Lev Ryashko ◽  
Dmitri V. Alexandrov ◽  
Irina Bashkirtseva

A problem of the noise-induced generation and shifts of phantom attractors in nonlinear dynamical systems is considered. On the basis of the model describing interaction of the climate and vegetation we study the probabilistic mechanisms of noise-induced systematic shifts in global temperature both upward (“warming”) and downward (“freezing”). These shifts are associated with changes in the area of Earth covered by vegetation. The mathematical study of these noise-induced phenomena is performed within the framework of the stochastic theory of phantom attractors in slow-fast systems. We give a theoretical description of stochastic generation and shifts of phantom attractors based on the method of freezing a slow variable and averaging a fast one. The probabilistic mechanisms of oppositely directed shifts caused by additive and multiplicative noise are discussed.


2021 ◽  
Vol 28 (6) ◽  
pp. 1875-1887
Author(s):  
Lin-lin Gu ◽  
Zhen Wang ◽  
Feng Zhang ◽  
Fei Gao ◽  
Xiao Wang

2016 ◽  
Vol 162 ◽  
pp. 162-171 ◽  
Author(s):  
Thomas Papalaskaris ◽  
Theologos Panagiotidis ◽  
Sotirios Papadopoulos ◽  
Athanasios Pantrakis

2010 ◽  
Vol 7 (4) ◽  
pp. 447-463 ◽  
Author(s):  
Germán Arroyo ◽  
Domingo Martín ◽  
M. Victoria Luzón

2004 ◽  
Vol 29 (14) ◽  
pp. 2111-2131 ◽  
Author(s):  
Hafzullah Aksoy ◽  
Z Fuat Toprak ◽  
Ali Aytek ◽  
N Erdem Ünal

2004 ◽  
Vol 48 ◽  
pp. 451-456 ◽  
Author(s):  
Alcigeimes B. CELESTE ◽  
Koichi SUZUKI ◽  
Akihiro KADOTA ◽  
Camilo A. S. de FARIAS

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