Add to ORKGJournal PaperUsual fixed-size box-counting algorithms are inefficient for computing generalized fractal dimensions D(<i>q</i>) in the range of <i>q</i><0. In this Letter we describe a new numerical algorithm specifically devised to estimate generalized dimensions for large negative <i>q</i>, providing evidence of its better performance. We compute the complete spectrum of the Hénon attractor, and interpret our results in terms of a "phase transition" between different multiplicative laws
A method is suggested for the computation of the generalized dimensions of fractal attractors at the...
[[abstract]]The fractal dimension is a fascinating feature highly correlated with the human percepti...
This paper explores different analytical and computational methods of computing the box-counting dim...
Abstract. The usual fixed-size box-counting algorithms are inefficient for computing generalized fra...
It is often taken for granted that the analysis of multifractals with fixed-size algorithms leads to...
International audienceNumerical methods which utilize partitions of equal-size, including the box-co...
The dimension of fractal sets, such as strange attractors, can be derived from near-neighbor informa...
AbstractTo characterize the geometry of a measure, its generalized dimensions dq have been introduce...
The box counting dimension $\mathit{d_{C}}$ and the correlation dimension $\mathit{d_{G}}$ change wi...
Journal PaperTo characterize the geometry of a measure, its so-called generalized dimensions D(<i>q<...
We consider the problem of computing fractal dimensions by the box-counting method. First, we remark...
Generalized dimensions of multifractal measures are usually seen as static objects, related to the s...
A fractal is a property of self-similarity, each small part of the fractal object is similar to the ...
In this paper, we have developed a method to compute fractal dimension (FD) of discrete time signals...
Abstract: This paper is concerned with suitable formulation in order to estimate box-counting dimens...
A method is suggested for the computation of the generalized dimensions of fractal attractors at the...
[[abstract]]The fractal dimension is a fascinating feature highly correlated with the human percepti...
This paper explores different analytical and computational methods of computing the box-counting dim...
Abstract. The usual fixed-size box-counting algorithms are inefficient for computing generalized fra...
It is often taken for granted that the analysis of multifractals with fixed-size algorithms leads to...
International audienceNumerical methods which utilize partitions of equal-size, including the box-co...
The dimension of fractal sets, such as strange attractors, can be derived from near-neighbor informa...
AbstractTo characterize the geometry of a measure, its generalized dimensions dq have been introduce...
The box counting dimension $\mathit{d_{C}}$ and the correlation dimension $\mathit{d_{G}}$ change wi...
Journal PaperTo characterize the geometry of a measure, its so-called generalized dimensions D(<i>q<...
We consider the problem of computing fractal dimensions by the box-counting method. First, we remark...
Generalized dimensions of multifractal measures are usually seen as static objects, related to the s...
A fractal is a property of self-similarity, each small part of the fractal object is similar to the ...
In this paper, we have developed a method to compute fractal dimension (FD) of discrete time signals...
Abstract: This paper is concerned with suitable formulation in order to estimate box-counting dimens...
A method is suggested for the computation of the generalized dimensions of fractal attractors at the...
[[abstract]]The fractal dimension is a fascinating feature highly correlated with the human percepti...
This paper explores different analytical and computational methods of computing the box-counting dim...