Degree, instability and bifurcation of reaction-diffusion systems with obstacles near certain hyperbolas

0458505 - MÚ 2017 RIV GB eng J - Článek v odborném periodiku
Eisner, J. - Väth, Martin
Degree, instability and bifurcation of reaction-diffusion systems with obstacles near certain hyperbolas.
Nonlinear Analysis: Theory, Methods & Applications. Roč. 135, April (2016), s. 158-193. ISSN 0362-546X. E-ISSN 1873-5215
Institucionální podpora: RVO:67985840
Klíčová slova: reaction-diffusion system * turing instability * global bifurcation
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.192, rok: 2016
http://www.sciencedirect.com/science/article/pii/S0362546X16000146

For a reaction–diffusion system which is subject to Turing’s diffusion-driven instability and which is equipped with unilateral obstacles of various types, the nonexistence of bifurcation of stationary solutions near certain critical parameter values is proved. The result implies assertions about a related mapping degree which in turn implies for “small” obstacles the existence of a new branch of bifurcation points (spatial patterns) induced by the obstacle.
Trvalý link: http://hdl.handle.net/11104/0258773