Degenerate bifurcation points of periodic solutions of autonomous Hamiltonian systems
نویسندگان
چکیده
منابع مشابه
Degenerate Bifurcation Points of Periodic Solutions of Autonomous Hamiltonian Systems
We study connected branches of non-constant 2π-periodic solutions of the Hamilton equation ẋ(t) = λJ∇H(x(t)), where λ ∈ (0,+∞), H ∈ C(R ×Rn,R) and ∇H(x0) = [ A 0 0 B ] for x0 ∈ ∇H−1(0). The Hessian ∇H(x0) can be singular. We formulate sufficient conditions for the existence of such branches bifurcating from given (x0, λ0). As a consequence we prove theorems concerning the existence of connected...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2004
ISSN: 0022-0396
DOI: 10.1016/j.jde.2004.03.037