Large local optical activity in fractal aggregates of silver nanoparticles has been observed by means of photon scanning tunneling microscopy. The effect occurs because resonant plasmon modes in random fractals can have handedness in spatial distribution of their amplitudes. In agreement with experimental observations, numerical simulations show dramatic difference in dipole-moment distribution...

Wireless sensor networks (WSNs) have extensive applications in the smart grid in recently years. The time series in WSNs in smart grid should be discussed by analysis method which is non-linear. The method of monofractal is used here. Self-similar Hurst parameter calculated by the algorithm of Rescaled Range Analysis (R/S) and fractal dimension are obtained, which confirm that the time sequence...

Fractalization of torus and its transition to chaos in a quasi-periodically forced logistic map is re-investigated in relation with a strange nonchaotic attractor, with the aid of functional equation for the invariant curve. Existence of fractal torus in an interval in parameter space is confirmed by the length and the number of extrema of the torus attractor, as well as the Fourier mode analys...

Basins generated by a noninvertible mapping formed by two symmetrically coupled logistic maps are studied when the only parameter λ of the system is modified. Complex patterns on the plane are visualized as a consequence of the basins’ bifurcations. According to the already established nomenclature in the literature, we present the relevant phenomenology organized in different scenarios: fracta...

We consider recent experimental results [W. Pan et al, Phys. Rev. Lett. 90, 016801 (2003)] for occurrence of the fractional quantum Hall effect-FQHE under the perspective of our formulation in terms of fractons. These objects carry rational or irrational values of spin and satisfy a fractal distribution function associated with a fractal von Newmann entropy. According to our approach the FQHE o...

We analyzed the temporal evolution of the displacement of the center of pressure (COP) during prolonged unconstrained standing (30 min) in non-impaired human subjects. The COP represents the collective outcome of the postural control system and the force of gravity and is the main parameter used in studies on postural control. Our analysis showed that the COP displacement during human standing ...

Fractal compression is a technique for encoding images compactly. It is built on local self similarities within the images. Image blocks are seen as rescaled and intensity transformed approximate the copies of blocks found elsewhere in the image. In this paper the Fractal image compression technique using fixed level of scaling is proposed in which the time of encoding process is considerably r...

We present a novel method for determining multi-fractal properties from experimental data. It is based on maximising the likelihood that the given finite data set comes from a particular set of parameters in a multi-parameter family of well known multi-fractals. By comparing characteristic correlations obtained from the original data with those that occur in artificially generated multi-fractal...

Fractal analysis has been shown to be useful in image processing for characterizing shape and gray-scale complexity. The fractal feature is a compact descriptor used to give a numerical measure of the degree of irregularity of the medical images. This descriptor property does not give ownership of the local image structure. In this paper, we present a combination of this parameter based on Box ...

Self-similar process with long-range dependence (LRD), i.e., fractional Gaussian noise (fGn) with LRD is a widely used model of the Internet traffic. It is indexed by its Hurst parameter HfGn that linearly relates to its fractal dimension DfGn. Note that, on the one side, the fractal dimension D of traffic measures local self-similarity. On the other side, LRD is a global property of traffic, w...