Bifurcation Behaviors of Steady-State Solution to a Discrete General Brusselator Model
نویسندگان
چکیده
منابع مشابه
Bifurcation and Stability Analyses for a Coupled Brusselator Model
This paper addresses the dynamic behaviour of a chemical oscillator arising from the series coupling of two Brusselators. Of particular interest is the study of the associated Hopf bifurcation and double-Hopf bifurcations. The motion of the oscillator may either be periodic (bifurcating from a Hopf-type critical point), or quasi-periodic (bifurcating from a compound critical point). Furthermore...
متن کاملGeneric Bifurcation of Steady-State Solutions
Brunovsky and Chow [ 1 ] have recently proved that for a generic C2 function with the Whitney topology, the “time map” r(.,f) (see [4]) associated with the differential equation U” +f(u) = 0 with homogeneous Dirichlet or Neumann boundary conditions, is a Morse function. In this note we give a simpler proof of this result as well as some new applications. Our method of proof is quite elementary,...
متن کاملSteady-state Bifurcation with Euclidean Symmetry
We consider systems of partial differential equations equivariant under the Euclidean group E(n) and undergoing steady-state bifurcation (with nonzero critical wavenumber) from a fully symmetric equilibrium. A rigorous reduction procedure is presented that leads locally to an optimally small system of equations. In particular, when n = 1 and n = 2 and for reaction-diffusion equations with gener...
متن کاملA Steady State Solution to a Mortgage Pricing Problem
This paper considers a mortgage contract where the borrower pays a fixed mortgage rate and has the choice of making prepayment. Assume the market interest follows the CIR model, the problem is formulated as a free boundary problem where the free boundary denotes the level of market interest rate at which it is optimal for the borrower to make prepayment. Here we focus on the infinite horizon pr...
متن کاملFundamental Steady state Solution for the Transversely Isotropic Half Space
Response of a transversely isotropic 3-D half-space subjected to a surface time-harmonic excitation is presented in analytical form. The derivation of the fundamental solutions expressed in terms of displacements is based on the prefect series of displacement potential functions that have been obtained in the companion paper by the authors. First the governing equations are uncoupled in the cyl...
متن کاملذخیره 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: Discrete Dynamics in Nature and Society
سال: 2020
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2020/5417218