Tracking particles in flows near invariant manifolds via balance functions
نویسندگان
چکیده
منابع مشابه
Invariant manifolds near hyperbolic fixed points
In these notes we discuss obstructions to the existence of local invariant manifolds in some smoothness class, near hyperbolic fixed points of diffeomorphisms. We present an elementary construction for continuously differentiable invariant manifolds, that are not necessarily normally hyperbolic, near attracting fixed points. The analogous theory for invariant manifolds near hyperbolic equilbria...
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Let M be a compact C1 manifold which is invariant and normally hyperbolic with respect to a C1 semiflow in a Banach space. Then in an -neighborhood of M there exist local C1 center-stable and center-unstable manifolds W cs( ) and W cu( ), respectively. Here we show that W cs( ) and W cu( ) may each be decomposed into the disjoint union of C1 submanifolds (leaves) in such a way that the semiflow...
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ژورنال
عنوان ژورنال: Nonlinear Dynamics
سال: 2018
ISSN: 0924-090X,1573-269X
DOI: 10.1007/s11071-018-4104-6