Results 191 to 200 of about 1,312 (219)

A Benchmark for Entropy Estimators. [PDF]

open access: yesEntropy (Basel)
Calcagnile LM, Di Garbo A, Galatolo S.
europepmc   +1 more source

AN EFFICIENT AND ACCURATE METHOD FOR THE ESTIMATION OF ENTROPY AND OTHER DYNAMICAL INVARIANTS FOR PIECEWISE AFFINE CHAOTIC MAPS

open access: yesInternational Journal of Bifurcation and Chaos, 2009
In this paper, we discuss an efficient iterative method for the estimation of the chief dynamical invariants of chaotic systems based on stochastically stable piecewise affine maps (e.g. the invariant measure, the Lyapunov exponent as well as the Kolmogorov–Sinai entropy).
ADDABBO T.   +4 more
openaire   +5 more sources
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Using Ulam's method to calculate entropy and other dynamical invariants

Nonlinearity, 1999
Summary: Using a special form of Ulam's method, we estimate the measure-theoretic entropy of a triple \((M,T,\mu)\), where \(M\) is a smooth manifold, \(T\) is a \(C^{1+y}\) uniformly hyperbolic map, and \(\mu\) is the unique physical measure of \(T\). With a few additional calculations, we also obtain numerical estimates of (i) the physical measure \(\
Gary Froyland
openaire   +3 more sources

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