Results 31 to 40 of about 618 (108)

A New One‐Dimensional Chaotic Map and Its Use in a Novel Real‐Time Image Encryption Scheme

Advances in Multimedia, Volume 2014, Issue 1, 2014., 2014
We present a new one‐dimensional chaotic map, suitable for real‐time image encryption. Its theoretical analysis, performed using some specific tools from the chaos theory, shows that the proposed map has a chaotic regime and proves its ergodicity, for a large space of values of the control parameter.
Radu Boriga, Ana Cristina Dăscălescu, Adrian-Viorel Diaconu, Stefanos Kollias   +3 more
wiley   +1 more source

Texture analysis by multi-resolution fractal descriptors

, 2014
This work proposes a texture descriptor based on fractal theory. The method is based on the Bouligand-Minkowski descriptors. We decompose the original image recursively into 4 equal parts. In each recursion step, we estimate the average and the deviation
Bruno, Odemir M., Florindo, João B.
core   +1 more source

Intermittent Criticality Multi‐Scale Processes Leading to Large Slip Events on Rough Laboratory Faults

Journal of Geophysical Research: Solid Earth, Volume 129, Issue 3, March 2024.
Abstract We discuss data of three laboratory stick‐slip experiments on Westerly Granite samples performed at elevated confining pressure and constant displacement rate on rough fracture surfaces. The experiments produced complex slip patterns including fast and slow ruptures with large and small fault slips, as well as failure events on the fault ...
Grzegorz Kwiatek, Patricia Martínez‐Garzón, Thomas Goebel, Marco Bohnhoff, Yehuda Ben‐Zion, Georg Dresen   +5 more
wiley   +1 more source

Geometric Models for Isotropic Random Porous Media: A Review

Advances in Materials Science and Engineering, Volume 2014, Issue 1, 2014., 2014
Models for random porous media are considered. The models are isotropic both from the local and the macroscopic point of view; that is, the pores have spherical shape or their surface shows piecewise spherical curvature, and there is no macroscopic gradient of any geometrical feature. Both closed‐pore and open‐pore systems are discussed.
Helmut Hermann, Antje Elsner, Thomas Hipke   +2 more
wiley   +1 more source

A Robust Algorithm for Optimisation and Customisation of Fractal Dimensions of Time Series Modified by Nonlinearly Scaling Their Time Derivatives: Mathematical Theory and Practical Applications

Computational and Mathematical Methods in Medicine, Volume 2013, Issue 1, 2013., 2013
Standard methods for computing the fractal dimensions of time series are usually tested with continuous nowhere differentiable functions, but not benchmarked with actual signals. Therefore they can produce opposite results in extreme signals. These methods also use different scaling methods, that is, different amplitude multipliers, which makes it ...
Franz Konstantin Fuss, Ernst Niebur
wiley   +1 more source

Study of a New Chaotic Dynamical System and Its Usage in a Novel Pseudorandom Bit Generator

Mathematical Problems in Engineering, Volume 2013, Issue 1, 2013., 2013
A new chaotic discrete dynamical system, built on trigonometric functions, is proposed. With intent to use this system within cryptographic applications, we proved with the aid of specific tools from chaos theory (e.g., Lyapunov exponent, attractor’s fractal dimension, and Kolmogorov‐Smirnov test) and statistics (e.g., NIST suite of tests) that the ...
Ana-Cristina Dăscălescu, Radu Eugen Boriga, Adrian-Viorel Diaconu, Zhan Shu   +3 more
wiley   +1 more source

Fractal dimension of transport coefficients in a deterministic dynamical system

, 2004
In many low-dimensional dynamical systems transport coefficients are very irregular, perhaps even fractal functions of control parameters. To analyse this phenomenon we study a dynamical system defined by a piece-wise linear map and investigate the ...
Claes I, Cvitanovi? P, Dorfman J R, Gaspard P, Gilbert T, Gilbert T, Grossmann S, Klages R, Klages R, Klages R, Klages R, Koza Z, Koza Z, Mátyás L, Nicolis G, Tricot C, Zbigniew Koza   +16 more
core   +1 more source

Hausdorff dimension and Iterated Function Systems [PDF]

, 2023
openIn this thesis we introduce the concepts of Hausdorff dimensions and box-counting (or Minkowski-Bouligand) dimension, their properties and the similarities and differences between them.
GERVANI, ALBERTO
core  

Fractal Oscillations of Chirp Functions and Applications to Second‐Order Linear Differential Equations

International Journal of Differential Equations, Volume 2013, Issue 1, 2013., 2013
We derive some simple sufficient conditions on the amplitude a(x), the phase φ(x), and the instantaneous frequency ω(x) such that the so‐called chirp function y(x) = a(x)S(φ(x)) is fractal oscillatory near a point x = x0, where φ′(x) = ω(x) and S = S(t) is a periodic function on ℝ.
Mervan Pašić, Satoshi Tanaka, Norio Yoshida   +2 more
wiley   +1 more source

Minkowski Functionals of Abell/ACO Clusters [PDF]

, 1996
We determine the Minkowski functionals for a sample of Abell/ACO clusters, 401 with measured and 16 with estimated redshifts. The four Minkowski functionals (including the void probability function and the mean genus) deliver a global description of the ...
Borgani, S., Buchert, T., Gottl"ober, S., Kerscher, M., M"uller, V., Plionis, M., Retzlaff, J., Schmalzing, J., Wagner, H.   +8 more
core   +3 more sources