Titlebook: Continuation and Bifurcations: Numerical Techniques and Applications; Dirk Roose,Bart De Dier,Alastair Spence Book 1990 Kluwer Academic Pu

有特色

Computation of Invariant Manifold Bifurcations, is considered when the trajectory is formed by an intersection of the stable and the unstable manifolds of a saddle equilibrium point with only one positive eigenvalue. Explicit formulae are derived for quadratic expansions of the manifolds. Methods for computation of bifurcation parameter values f

长矛

使乳化

Delectable

A Newton-Like Method for Simple Bifurcation Problems with Application to Large Sparse Systems,olutions with a simplified Newton-like method which is related to the modifications of Newton’s method for the singular problems. Rank-1 corrections are discussed for large sparse problems to reduce the computational cost.

密码

古老

Adrenaline

FLOAT

Mindfulness

Symbolic Computation and Bifurcation Methods,nerve equations, as studied by Golubitsky and Langford in a celebrated paper. A coefficient of its normal form never computed is explicitely shown, what implies an unfounded statement in the quoted work.

Pulmonary-Veins

The Global Attractor Under Discretisation,ons. Hence a method complementary to the bifurcation analysis is described, the aim being to construct methods for which spurious solutions do not exist .Δ.; for infinite dimensional dynamical systems the method relies on examining steady boundary value problems (which govern the existence of spurio