Multifractal dimension of chaotic attractors in a driven semiconductor superlattice

Abstract

The multifractal dimension of chaotic attractors has been studied in a weakly coupled superlattice driven by an incommensurate sinusoidal voltage as a function of the driving voltage amplitude. The derived multifractal dimension for the observed bifurcation sequence shows different characteristics for chaotic, quasiperiodic, and frequency-locked attractors. In the chaotic regime, strange attractors are observed. Even in the quasiperiodic regime, attractors with a certain degree of strangeness may exist. From the observed multifractal dimensions, the deterministic nature of the chaotic oscillations is clearly identified. ͓S0163-1829͑99͒03032-5͔

Photon-assisted transport in semiconductor nanostructures

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Investigation of the Surface Properties of Diamond-Like Carbon Films Using Multifractal Analysis

“…To date, it has been found that to describe the self-similarity of Corresponding author: Narek Margaryan, Ph.D., research fields: semiconductor phsics, nanotechnology, carbón films, quantum physics. natural materials is not enough just to use one of the fractal dimensions, and the works of different authors [1][2][3][4][5][6][7] show that the multifractal formalism provides such an opportunity. One of the important physical parameters of the nanostructured films is surface potential, which we can calculate using the results obtained by multifractal analysis.…”

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