scholarly journals Distribution of zeros in the rough geometry of fluctuating interfaces

2016 ◽  
Vol 93 (4) ◽  
Author(s):  
Arturo L. Zamorategui ◽  
Vivien Lecomte ◽  
Alejandro B. Kolton
Keyword(s):  
Distribution Of Zeros ◽  
Fluctuating Interfaces

On the distribution of zeros of functions from weighted Bergman spaces

2009 ◽  
Vol 86 (1-2) ◽  
pp. 93-106 ◽  
Author(s):  
E. A. Sevast’yanov ◽  
A. A. Dolgoborodov
Keyword(s):  
Bergman Spaces ◽  
Weighted Bergman Spaces ◽  
Distribution Of Zeros ◽  
Zeros Of Functions

Zeros of a Class of Transcendental Equation with Application to Bifurcation of DDE

2016 ◽  
Vol 26 (04) ◽  
pp. 1650062 ◽  
Author(s):  
Kit Ian Kou ◽  
Yijun Lou ◽  
Yong-Hui Xia
Keyword(s):  
Small Parameter ◽  
Climate Changes ◽  
Transcendental Equation ◽  
Bifurcation Parameter ◽  
Parameter Perturbation ◽  
Distribution Of Zeros ◽  
World Model ◽  
The Real ◽  
Stability And Bifurcations ◽  
The Stability

Zeros of a class of transcendental equation with small parameter [Formula: see text] are considered in this paper. There have been many works in the literature considering the distribution of zeros of the transcendental equation by choosing the delay [Formula: see text] as bifurcation parameter. Different from standard consideration, we choose [Formula: see text] as bifurcation parameter (not the delay [Formula: see text]) to discuss the distribution of zeros of such transcendental equation. After mathematical analysis, the obtained results are successfully applied to the bifurcation analysis in a biological model in the real word phenomenon. In the real world model, the effect of climate changes can be seen as the small parameter perturbation, which can induce bifurcations and instability. We present two methods to analyze the stability and bifurcations.

scholarly journals Differential Equations Arising from the Generating Function of the (r, β)-Bell Polynomials and Distribution of Zeros of Equations

Mathematics ◽  
2019 ◽  
Vol 7 (8) ◽  
pp. 736 ◽  
Author(s):  
Kyung-Won Hwang ◽  
Cheon Seoung Ryoo ◽  
Nam Soon Jung
Keyword(s):  
Differential Equations ◽  
Generating Function ◽  
Numerical Experiments ◽  
Bell Polynomials ◽  
Distribution Of Zeros

In this paper, we study differential equations arising from the generating function of the ( r , β ) -Bell polynomials. We give explicit identities for the ( r , β ) -Bell polynomials. Finally, we find the zeros of the ( r , β ) -Bell equations with numerical experiments.

Structure factor of fluctuating interfaces: From liquid surfaces to suspended graphene

2019 ◽  
Vol 100 (19) ◽  
Author(s):  
Jose Hernández-Muñoz ◽  
Pedro Tarazona ◽  
Rafael Ramírez ◽  
Carlos P. Herrero ◽  
Enrique Chacón
Keyword(s):  
Structure Factor ◽  
Suspended Graphene ◽  
Fluctuating Interfaces ◽  
Liquid Surfaces
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