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Abstract
In this paper we will investigate symmetry-breaking bifurcation of equilibrium forms of biological cluster. A biological cluster is a two-dimensional analogue of a gas balloon. The cluster boundary is connected with its kernel by elastic links. The inside part is filled with compressed gas or fluid. Equilibrium forms of biological cluster can be found as solutions of a certain second order ordinary functional-differential equation with four physical parameters: an elasticity coefficient of boundary, an elasticity coefficient of links and two parameters describing compressed gas or fluid. For each multiparameter, this equation possesses a radially symmetric solution. Applying a finite-dimensional reduction and a key function method we will prove the subritical behaviour of biological cluster.
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Details
- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
no. 24,
pages 61 - 72,
ISSN: 1468-1218 - Language:
- English
- Publication year:
- 2015
- Bibliographic description:
- Guze H., Janczewska J.: Subcritical bifurcation of free elastic shell of biological cluster// NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. -Vol. 24, (2015), s.61-72
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.nonrwa.2015.01.003
- Verified by:
- Gdańsk University of Technology
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