The transition to synchronization on branching hierarchical lattices

2022 ◽  
Vol 32 (1) ◽  
pp. 013120
Author(s):  
Anupama Roy ◽  
Neelima Gupte
2019 ◽  
Vol 146 (3) ◽  
pp. 1519-1527 ◽  
Author(s):  
ZhiWei Zhu ◽  
ZiChen Deng ◽  
ShuZhan Tong ◽  
BenJie Ding ◽  
JianKe Du

1998 ◽  
Vol 58 (4) ◽  
pp. 4246-4253 ◽  
Author(s):  
Eduardo G. Aponte ◽  
Ernesto Medina

1996 ◽  
Vol 463 ◽  
Author(s):  
A. A. Rodriguez ◽  
J. Valbuena

ABSTRACTThe ac and dc electrical properties of composite materials are studied using hierarchical lattices. First we show that the hierarchical model can correctly account for the main scaling properties of critical percolative structures. Then we study the effect of potential disorder by assuming that the microscopic conductances are distributed according to a power law distribution function. We find that in the limit of strong disorder, the predictions are in qualitative agreement with reported experimental measurements.


2002 ◽  
Vol 299 (1) ◽  
pp. 89-93 ◽  
Author(s):  
Ryuichi Ugajin

1984 ◽  
Vol 30 (1) ◽  
pp. 244-249 ◽  
Author(s):  
Miron Kaufman ◽  
Robert B. Griffiths

1988 ◽  
Vol 38 (1) ◽  
pp. 728-731 ◽  
Author(s):  
Z. R. Yang

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