INVARIANT-MANIFOLDS AND BIFURCATION OF SMOOTHNESS

[摘要] There exists a unique local manifold invariant with respect to the dynamical system z = F(z)(F is-an-element-of C(r)) which is quadratically tangent to {(x, y): y = 0} if mu/lambda < r (DF(0, 0) = diag{-lambda, -mu}) and the nonresonance conditions mu/lambda not-equal 2, ..., r-1 hold. This manifold undergoes a bifurcation if mu/lambda or r is considered to be a parameter. (C) 1994 Academic Press, Inc.

[发布日期] 1994-08-01