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1. On multifractality and synchronization of nonlinear stellar pulsators

   Simple models of nonlinear stellar pulsation, whose temporal behavior may reproduce some of the observed features of different classes of variable...

   Naveen K. Bhatraju, M. K. Das in Astrophysics and Space Science

   Article 05 April 2014
   

2. Investigating the nanostructured gold thin films using the multifractal analysis

   The atomic force microscopy images representing the surface morphology of the nanostructured gold thin films of thickness of 20, 50 and 200 nm,...

   R. P. Yadav, U. B. Singh, ... S. Dwivedi in Applied Physics A

   Article 31 July 2014
   

3. Fractal and Multifractal Properties of Active Regions as Flare Precursors: A Case Study Based on SOHO/MDI and SDO/HMI Observations

   Several studies indicate that fractal and multifractal parameters inferred from solar photospheric magnetic field measurements may help assessing the...

   I. Ermolli, F. Giorgi, ... M. Stangalini in Solar Physics

   Article 27 February 2014
   

4. Ring-Like and Jet-Like Events in Ultra High-Energy Interactions—an Analysis in Terms of Multifractal Parameters

   Ring-like and jet-like events produced in ¹⁶ O-AgBr interactions at 60 AGeV are analyzed in terms of multifractal G-moment method and factorial moment...

   Dipak Ghosh, Argha Deb, ... Soma Biswas (Ghosh) in Brazilian Journal of Physics

   Article 04 June 2014
   

5. Multifractal measures of ions absorbed on a charged lipid membrane

   We investigate the multifractals of ions absorbed on a charged lipid membrane. As we consider the charged ion to be a random walker in a...

   Myunggi Yi, Kyungsik Kim, Ki-Ho Chang in Journal of the Korean Physical Society

   Article 14 March 2013

6. Hausdorff and Packing Spectra, Large Deviations, and Free Energy for Branching Random Walks in \({\mathbb{R}^d}\)

   Najmeddine Attia, Julien Barral in Communications in Mathematical Physics

   Article 07 June 2014

7. Hyperbranched polymer stars with Gaussian chain statistics revisited

   Abstract

   Conformational properties of regular dendrimers and more general hyperbranched polymer stars with Gaussian statistics for the spacer chains...

   P. Polińska, C. Gillig, ... J. Baschnagel in The European Physical Journal E

   Article 27 February 2014
   

8. Multidimensional Wavelets and Generalizations

   The continuous wavelet transform can be extended to arbitrary dimensions and this is the topic of this chapter. We begin with the general...

   Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau in Coherent States, Wavelets, and Their Generalizations

   Chapter 2014
   

9. Construction of fractal nanostructures based on Kepler-Shubnikov nets

   A system of information codes for deterministic fractal lattices and sets of multifractal curves is proposed. An iterative modular design was used to...

   V. V. Ivanov, V. M. Talanov in Crystallography Reports

   Article 15 May 2013

10. Multifractality due to long-range correlation in the L-band ionospheric scintillation S ₄ index time series

    The earth’s ionosphere is well recognized as a dynamical system and non-linearly coupled with the magnetosphere above and natural atmosphere below....

    H. J. Tanna, K. N. Pathak in Astrophysics and Space Science

    Article 18 December 2013
    

11. On the transition to hyperchaos and the structure of hyperchaotic attractors

    Using a recently proposed algorithmic scheme for correlation dimension analysis of hyperchaotic attractors, we study two well-known hyperchaotic...

    K.P. Harikrishnan, R. Misra, G. Ambika in The European Physical Journal B

    Article 23 September 2013

12. Modeling monofractal microscopy images

    Methods for modeling monofractal microscopy images on the basis of space-frequency filtration are proposed. The spectral density and structural...

    B. N. Grudin, E. L. Kuleshov, ... S. V. Polischuk in Bulletin of the Russian Academy of Sciences: Physics

    Article 01 August 2013

13. Levy index analysis and phase transition study with target protons at SPS energies

    This work presents the Levy index analysis of target protons emitted from ³² S–AgBr (at 200 A GeV) and ¹⁶ O–AgBr (at 60 A GeV) interactions using the...

    D. Ghosh, A. Deb, ... N. Alam in Indian Journal of Physics

    Article 27 September 2012
    

14. Chaos, Bifurcations and Diffusion

    Complex system theory deals with dynamical systems containing very large numbers of variables. It extends dynamical system theory, which deals with...

    Claudius Gros in Complex and Adaptive Dynamical Systems

    Chapter 2013
    

15. Self-similarity principle: the reduced description of randomness

    A new general fitting method based on the Self-Similar (SS) organization of random sequences is presented. The proposed analytical function helps to...

    Raoul R. Nigmatullin, José Tenreiro Machado, Rui Menezes in Central European Journal of Physics

    Article 20 May 2013

16. Partitioning schemes and non-integer box sizes for the box-counting algorithm in multifractal analysis

    We compare different partitioning schemes for the box-counting algorithm in the multifractal analysis by computing the singularity spectrum and the...

    Stefanie Thiem, Michael Schreiber in The European Physical Journal B

    Article 11 February 2013

17. Determination of the dynamical behavior of rainfalls by using a multifractal detrended fluctuation analysis

    We study the dynamical behavior of rainfalls in the complicated area of the Korean peninsula. Data for stations having no automatic weather system...

    Seong Kyu Seo, Kyungsik Kim, ... Jong-Kil Park in Journal of the Korean Physical Society

    Article 29 August 2012

18. Dynamical analyses of the time series for three foreign exchange rates

    In this study, we investigate the multifractal properties of three foreign exchange rates (USD-KRW, USD-JPY, and EUR-USD) that are quoted with...

    Sehyun Kim, Soo Yong Kim, ... Kyungsik Kim in Journal of the Korean Physical Society

    Article 27 May 2012

19. Multifractal Formalism for Almost all Self-Affine Measures

    We conduct the multifractal analysis of self-affine measures for “almost all” family of affine maps. Besides partially extending Falconer’s formula...

    Julien Barral, De-Jun Feng in Communications in Mathematical Physics

    Article 02 February 2013

20. On the Estimation of the Large Deviations Spectrum

    We propose an estimation algorithm for large deviations spectra of measures and functions. The algorithm converges for natural examples of...

    J. Barral, P. Gonçalves in Journal of Statistical Physics

    Article 02 September 2011