A Direct Method for the Computation of Hopf Bifurcation Points
Copyright policy )A Direct Method for the Computation of Hopf Bifurcation Points
An algorithm for the computation of a Hopf bifurcation point of an evolution equation is given. A comparison with other direct methods and numerical results for a diffusion-reaction problem and a diffusion- convection-reaction problem are given.
Numerical solution of nonlinear eigenvalue and eigenvector problems, Numerical solution of boundary value problems involving ordinary differential equations, nonlinear dynamics, Newton's method, Method of lines for boundary value problems involving PDEs, isolated solution, Initial value problems for linear higher-order PDEs, diffusion-convection-reaction problem, Higher-order parabolic equations, Hopf bifurcation point, direct methods
Numerical solution of nonlinear eigenvalue and eigenvector problems, Numerical solution of boundary value problems involving ordinary differential equations, nonlinear dynamics, Newton's method, Method of lines for boundary value problems involving PDEs, isolated solution, Initial value problems for linear higher-order PDEs, diffusion-convection-reaction problem, Higher-order parabolic equations, Hopf bifurcation point, direct methods
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