On the Mountain Pass Solutions to Boundary Value Problems on the Sierpinski Gasket
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DOI: 10.1007/s00025-019-1092-x
Abstract: We investigate the continuous dependence on parameters for the mountain pass solutions of second order elliptic equations with Dirichlet type boundary conditions considered on the Sierpinski gasket. read more here.
Keywords: pass solutions; solutions boundary; boundary value; sierpinski gasket ... See more keywords
Average trapping time on a type of horizontally segmented three dimensional Sierpinski gasket network with two types of locally self-similar structures
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ac57c7
Abstract: As a classic self-similar network model, Sierpinski gasket network has been used many times to study the characteristics of self-similar structure and its influence on the dynamic properties of the network. However, the network models… read more here.
Keywords: self similar; gasket network; network; sierpinski gasket ... See more keywords
GEODESICS OF HIGHER-DIMENSIONAL SIERPINSKI GASKET
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DOI: 10.1142/s0218348x1950049x
Abstract: It is of great interest to analyze geodesics in fractals. We investigate the structure of geodesics in [Formula: see text]-dimensional Sierpinski gasket [Formula: see text] for [Formula: see text], and prove that there are at… read more here.
Keywords: dimensional sierpinski; see text; sierpinski gasket; formula see ... See more keywords
Dynamics of a Polymer Network Based on Dual Sierpinski Gasket and Dendrimer: A Theoretical Approach
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DOI: 10.3390/polym9070245
Abstract: In this paper we focus on the relaxation dynamics of a multihierarchical polymer network built through the replication of the dual Sierpinski gasket in the form of a regular dendrimer. The relaxation dynamics of this… read more here.
Keywords: relaxation; dual sierpinski; polymer network; sierpinski gasket ... See more keywords
A discrete chaotic dynamical system on the Sierpinski gasket
Sign Up to like & getrecommendations! Published in 2019 at "TURKISH JOURNAL OF MATHEMATICS"
DOI: 10.3906/mat-1803-77
Abstract: The Sierpinski gasket (also known as the Sierpinski triangle) is one of the fundamental models of self-similar sets. There have been many studies on different features of this set in the last decades. In this… read more here.
Keywords: dynamical system; system sierpinski; discrete chaotic; sierpinski gasket ... See more keywords