On bifurcations arising from unstable equilibria and invariant sets

[摘要] It is proved that whenever an isolated compact invariant set (or equilibrium point) M is unstable for a certain value lambda(o) of a parameter lambda and stable for values of lambda close to lambda(o), M undergoes a bifurcation at lambda(o). The setting is a locally asymptotically compact family of semidynamical systems on a metric space. (C) 1998 Academic Press.

[发布日期] 1998-12-10