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Security analysis of a chaos-based image encryption algorithm

Lian, Shiguo; Sun, Jinsheng; Wang, Zhiquan - In: Physica A: Statistical Mechanics and its Applications 351 (2005) 2, pp. 645-661

The security of Fridrich's algorithm against brute-force attack, statistical attack, known-plaintext attack and select-plaintext attack is analyzed by investigating the properties of the involved chaotic maps and diffusion functions. Based on the given analyses, some means are proposed to...

Persistent link: https://www.econbiz.de/10010589989

Clusters or networks of economies? A macroeconomy study through Gross Domestic Product

Ausloos, M.; Lambiotte, R. - In: Physica A: Statistical Mechanics and its Applications 382 (2007) 1, pp. 16-21

We study correlations between web-downloaded gross domestic product (GDP)'s of rich countries. GDP is used as wealth signatures of the country economical state. We calculate the yearly fluctuations of the GDP. We look for forward and backward correlations between such fluctuations. The...

Persistent link: https://www.econbiz.de/10010873163

Effect of time delay on pattern dynamics in a spatial epidemic model

Wang, Yi; Cao, Jinde; Sun, Gui-Quan; Li, Jing - In: Physica A: Statistical Mechanics and its Applications 412 (2014) C, pp. 137-148

enrich the finding of patterns and may well capture some key features in the epidemic models. …

Persistent link: https://www.econbiz.de/10010906976

The gaps between the gaps: some patterns in the prime number sequence

Szpiro, George G - In: Physica A: Statistical Mechanics and its Applications 341 (2004) C, pp. 607-617

It has long been known that the gaps between consecutive prime numbers cluster on multiples of 6. Recently it was shown that the frequency of the gaps between the gaps is lower for multiples of 6 than for other values (P. Kumar et al., Information entropy and correlation in prime numbers, arXiv:...

Persistent link: https://www.econbiz.de/10011059930

Excitable medium with left–right symmetry breaking

Dupont, C.; Agladze, K.; Krinsky, V. - In: Physica A: Statistical Mechanics and its Applications 249 (1998) 1, pp. 47-52

. (2) Target patterns are not of circular form. (3) Spiral waves are not stationary in this medium, they drift with …

Persistent link: https://www.econbiz.de/10011060897

On the frequencies of patterns of rises and falls

Luck, J.M. - In: Physica A: Statistical Mechanics and its Applications 407 (2014) C, pp. 252-275

interpreted as the embedding entropy of the pattern. This rate is evaluated exactly for all periodic patterns. In the most general … case, it is expressed in terms of a determinant of generalized hyperbolic or trigonometric functions. Alternating patterns … observing uniformly chosen random patterns are demonstrated to obey multifractal statistics. The typical value α0=0.806361… of …

Persistent link: https://www.econbiz.de/10011061043

Abstract phase space networks describing reactive dynamics

Provata, A.; Panagakou, E. - In: Physica A: Statistical Mechanics and its Applications 414 (2014) C, pp. 181-193

. This conclusion corroborates earlier investigations demonstrating the formation of fractal spatial patterns in LLC reactive …

Persistent link: https://www.econbiz.de/10011062719

On the statistics of area size in two-dimensional thick Voronoi diagrams

Ferraro, Mario; Zaninetti, Lorenzo - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 20, pp. 4575-4582

Cells of Voronoi diagrams in two dimensions are usually considered as having edges of zero width. However, this is not the case in several experimental situations in which the thickness of the edges of the cells is relatively large. In this paper, the concept of a thick Voronoi tessellation,...

Persistent link: https://www.econbiz.de/10010589967

Results from variants of the Fisher equation in the study of epidemics and bacteria

Kenkre, V.M. - In: Physica A: Statistical Mechanics and its Applications 342 (2004) 1, pp. 242-248

The Fisher equation, which combines diffusive motion of individuals with nonlinearities arising from their growth and competition processes, is analyzed, generalized, and applied to the dynamics of bacteria, pattern formation, and the spread of epidemics. Analytic solutions are also presented...

Persistent link: https://www.econbiz.de/10010590135

Localized patterns and hole solutions in one-dimensional extended systems

Clerc, Marcel G.; Falcon, Claudio - In: Physica A: Statistical Mechanics and its Applications 356 (2005) 1, pp. 48-53

The existence, stability properties, dynamical evolution and bifurcation diagram of localized patterns and hole …

Persistent link: https://www.econbiz.de/10010590305