Geometry of Inertial Manifolds Probed via a Lyapunov Projection Method
نویسندگان
چکیده
منابع مشابه
Geometry of inertial manifolds probed via a Lyapunov projection method.
A method for determining the dimension and state space geometry of inertial manifolds of dissipative extended dynamical systems is presented. It works by projecting vector differences between reference states and recurrent states onto local linear subspaces spanned by the Lyapunov vectors. A sharp characteristic transition of the projection error occurs as soon as the number of basis vectors is...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2012
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.108.154101