منابع مشابه
Optimal Orbits of Hyperbolic Systems
Given a dynamical system and a function f from the state space to the real numbers, an optimal orbit for f is an orbit over which the time average of f is maximal. In this paper we consider some basic mathematical properties of optimal orbits: existence, sensitivity to perturbations of f , and approximability by periodic orbits with low period. For hyperbolic systems, we conjecture that for (to...
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Invariant sets embedded in a chaotic attractor can generate time averages that diier from the average generated by typical orbits on the attractor. Motivated by two diierent topics (namely, controlling chaos and riddled basins of attraction), we consider the question of which invariant set yields the largest (optimal) value of an average of a given smooth function of the system state. We presen...
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We consider inverse problems where one wishes to recover an unknown function from the observation of a transformation of it by a linear operator, corrupted by an additive Gaussian white noise perturbation. We assume that the operator admits a singular value decomposition where the eigenvalues decay in a polynomial way, and where Jacobi polynomials appear as eigenfunctions. This includes, as an ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1984
ISSN: 0377-0427
DOI: 10.1016/0377-0427(84)90034-7