scholarly journals Anharmonic classical time crystals: A coresonance pattern formation mechanism

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
Zachary G. Nicolaou ◽  
Adilson E. Motter
Keyword(s):  
Pattern Formation ◽  
Formation Mechanism ◽  
Time Crystals

Pattern formation mechanism of a periodically faceted interface during crystallization ofSi

2010 ◽  
Vol 312 (24) ◽  
pp. 3670-3674 ◽  
Author(s):  
M. Tokairin ◽  
K. Fujiwara ◽  
K. Kutsukake ◽  
H. Kodama ◽  
N. Usami ◽  
...  
Keyword(s):  
Pattern Formation ◽  
Formation Mechanism

Modelling of activator-inhibitor dynamics via nonlocal integral operators

2017 ◽  
Vol 1 ◽  
pp. 57 ◽  
Author(s):  
Roumen Anguelov ◽  
Stephanus Marnus Stoltz
Keyword(s):  
Pattern Formation ◽  
Green Algae ◽  
Formation Mechanism ◽  
Lateral Inhibition ◽  
Integral Operators ◽  
Nonlocal Operators ◽  
Blue Green Algae ◽  
Biological Pattern Formation ◽  
Activator Inhibitor

This paper proposes application of nonlocal operators to represent the biological pattern formation mechanism of self-activation and lateral inhibition. The blue-green algae Anabaena is discussed as a model example. The patterns are determined by the kernels of the integrals representing the nonlocal operators. The emergence of patters when varying the size of the support of the kernels is numerically investigated.

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