Using the concept of an isolated invariant set, some existence criteria of orbits connecting two critical points bifurcating from a single critical point for ordinary differential equations depending on a parameter ar...Using the concept of an isolated invariant set, some existence criteria of orbits connecting two critical points bifurcating from a single critical point for ordinary differential equations depending on a parameter are given.展开更多
Let E be a real Hilbert space, λ∈R, F∈C^2(E×R, R). Suppose that the gradientD_xF(x,λ) of F is A(λ)x+N(x, λ), where N(x, λ) =o(│x│) as x→θ uniformly for bounded λ.In this note we consider the solutions...Let E be a real Hilbert space, λ∈R, F∈C^2(E×R, R). Suppose that the gradientD_xF(x,λ) of F is A(λ)x+N(x, λ), where N(x, λ) =o(│x│) as x→θ uniformly for bounded λ.In this note we consider the solutions of the following展开更多
In this paper, a sufficient condition for the existence of bifurcation points for discrete dynamical systems is presented. The relation between two families of systems is further discussed, and a sufficient condition ...In this paper, a sufficient condition for the existence of bifurcation points for discrete dynamical systems is presented. The relation between two families of systems is further discussed, and a sufficient condition for determining whether they may have the similar bifurcation points is given.展开更多
基金Research supported by the National Science Foundation of China(No.10271115).
文摘Using the concept of an isolated invariant set, some existence criteria of orbits connecting two critical points bifurcating from a single critical point for ordinary differential equations depending on a parameter are given.
基金Project supported by the National Natural Science Foundation of China.
文摘Let E be a real Hilbert space, λ∈R, F∈C^2(E×R, R). Suppose that the gradientD_xF(x,λ) of F is A(λ)x+N(x, λ), where N(x, λ) =o(│x│) as x→θ uniformly for bounded λ.In this note we consider the solutions of the following
基金Project supported by the National Natural Science Foundation of China (Grant No.10672146)the Shanghai Leading Academic Discipline Project (Grant No.S30104)
文摘In this paper, a sufficient condition for the existence of bifurcation points for discrete dynamical systems is presented. The relation between two families of systems is further discussed, and a sufficient condition for determining whether they may have the similar bifurcation points is given.
