Uniqueness of connecting orbits in the equation Y(3) = Y2 − 1
نویسندگان
چکیده
منابع مشابه
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In this paper we propose a rigorous numerical technique for the computation of symmetric connecting orbits for ordinary differential equations. The idea is to solve a projected boundary value problem (BVP) in a function space via a fixed point argument. The formulation of the projected BVP involves a high-order parameterization of the invariant manifolds at the steady states. Using this paramet...
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We generalize to higher dimension results of Birkhoff and Mather on the existence of orbits wandering in regions of instability of twist maps. This generalization is strongly inspired by the one proposed by Mather in [7]. However, its advantage is that it contains most of the results of Birkhoff and Mather on twist maps. A very natural class of problems in dynamical systems is the existence of ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1986
ISSN: 0022-247X
DOI: 10.1016/0022-247x(86)90110-1