Bifurcation points of reaction-diffusion systems with unilateral conditions

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Bifurcation for a reaction-diffusion systemwith unilateral andNeumann boundary conditions

We consider a reaction-diffusion system of activator-inhibitor or substratedepletion type which is subject to diffusion-driven instability if supplemented by pure Neumann boundary conditions. We show by a degree-theoretic approach that an obstacle (e.g. a unilateral membrane) modeled in terms of inequalities, introduces new bifurcation of spatial patterns in a parameter domain where the trivial...

متن کامل

A variational approach to bifurcation points of a reaction-diffusion systems with obstacles andNeumann boundary conditions

Given a reaction-diffusion system which exhibits Turing’s diffusion-driven instability, we study the influence of unilateral obstacles of opposite sign on bifurcation and critical points. The approach is based on a variational approach to a non-variational problem which even after transformation to a variational problem has an unusual structure for which usual variational methods do not apply.

متن کامل

Bifurcation Pattern in Reaction-Diffusion Dissipative Systems

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

متن کامل

Bifurcation Analysis of Reaction Diffusion Systems on Arbitrary Surfaces

In this paper, we present computational techniques to investigate the effect of surface geometry on biological pattern formation. In particular, we study two-component, nonlinear reaction-diffusion (RD) systems on arbitrary surfaces. We build on standard techniques for linear and nonlinear analysis of RD systems and extend them to operate on large-scale meshes for arbitrary surfaces. In particu...

متن کامل

Invariant Manifolds and Bifurcation for Quasilinear Reaction-diffusion Systems

IN THIS PAPER we consider parameter-dependent quasilinear reaction-diffusion equations on a bounded domain of R”. It is our purpose to study the dynamical behavior of solutions to these equations. In particular, we are interested in the behavior of the solution set if the parameter is changed. To be more precise, let us assume that Sz C R” is a bounded domain having a smooth boundary. Then we c...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Czechoslovak Mathematical Journal

سال: 1985

ISSN: 0011-4642,1572-9141

DOI: 10.21136/cmj.1985.102055