Add to ORKGOn the assumption of separated boundary conditions autonomous scalar reaction-diffusion equations do not admit periodic orbits. The relevance of the assumption of separatedness is shown by giving an example of non separated boundary conditions for which Hopf bifurcation occurs. The example is a model of a simple thermostat. 1997 Academic Press 1
We study an one-dimensional nonlinear reaction-diffusion system coupled on the boundary. Such system...
Dynamical systems that are reversible in the sense of Moser are investigated and bifurcation of traj...
We deal with a free boundary problem for a nonlinear parabolic equation, which includes a parameter ...
AbstractOn the assumption of separated boundary conditions autonomous scalar reaction-diffusion equa...
We analyze Hopf bifurcation and its properties of a class of system of reaction-diffusion equations ...
We present an algorithm for determining the existence of a Hopf bifurcation of a system of delayed r...
AbstractThe Lengyel–Epstein model with diffusion and homogeneous Neumann boundary condition is consi...
We revisit a homogeneous reaction-diffusion Turing model subject to the Neumann boundary conditions ...
Fujii, Mimura, and Nishiura [1985] and Armbruster and Dangelmayr [1986, 1987] have observed that rea...
AbstractThe occurrence of a Hopf bifurcation in a free boundary problem for a parabolic partial diff...
AbstractThe problem of bifurcation of periodic orbits from equilibrium when several parameters are p...
AbstractFor a system of reaction-diffusion equations with a small parameter ϵ > 0, modelling spatio-...
In this paper, we consider the Turing-Hopf bifurcation arising from the reaction-diffusion equations...
AbstractA reaction-diffusion equation related to some mathematical models of gasless combustion of s...
AbstractThis paper is concerned with an autocatalysis model subject to no-flux boundary conditions. ...
We study an one-dimensional nonlinear reaction-diffusion system coupled on the boundary. Such system...
Dynamical systems that are reversible in the sense of Moser are investigated and bifurcation of traj...
We deal with a free boundary problem for a nonlinear parabolic equation, which includes a parameter ...
AbstractOn the assumption of separated boundary conditions autonomous scalar reaction-diffusion equa...
We analyze Hopf bifurcation and its properties of a class of system of reaction-diffusion equations ...
We present an algorithm for determining the existence of a Hopf bifurcation of a system of delayed r...
AbstractThe Lengyel–Epstein model with diffusion and homogeneous Neumann boundary condition is consi...
We revisit a homogeneous reaction-diffusion Turing model subject to the Neumann boundary conditions ...
Fujii, Mimura, and Nishiura [1985] and Armbruster and Dangelmayr [1986, 1987] have observed that rea...
AbstractThe occurrence of a Hopf bifurcation in a free boundary problem for a parabolic partial diff...
AbstractThe problem of bifurcation of periodic orbits from equilibrium when several parameters are p...
AbstractFor a system of reaction-diffusion equations with a small parameter ϵ > 0, modelling spatio-...
In this paper, we consider the Turing-Hopf bifurcation arising from the reaction-diffusion equations...
AbstractA reaction-diffusion equation related to some mathematical models of gasless combustion of s...
AbstractThis paper is concerned with an autocatalysis model subject to no-flux boundary conditions. ...
We study an one-dimensional nonlinear reaction-diffusion system coupled on the boundary. Such system...
Dynamical systems that are reversible in the sense of Moser are investigated and bifurcation of traj...
We deal with a free boundary problem for a nonlinear parabolic equation, which includes a parameter ...