A general methodology to develop hyper-elastic membrane models equivalent to crystalline films one atom thick is presented. This membrane theory is used to study the mechanics of carbon nanotubes. The method relies on an extension of the Born based on the exponential map. The exponential map accounts for the fact that the lattice vectors of the crystal lie along the chords of the curved membran...

Self-Organizing Maps are a prominent tool for exploratory analysis and visualization of high-dimensional data. We propose a novel method for visualizing the cluster structure and coherent regions of the Self-Organizing Map that can be displayed as a vector field on top of the map lattice. Concepts of neighborhood and proximity on the map is exploited to obtain a representation where arrows poin...

We study the dynamics of one–dimensional discrete models of one–component active medium built up of spatially inhomogeneous chains of diffusively coupled piecewise linear maps. The nonhomogeneities (" defects ") are treated in terms of parameter difference in the corresponding maps. Two types of space defects are considered: periodic and localized. We elaborate analytic approach to obtain the r...

We study the synchronization of a coupled map lattice consisting of a one-dimensional chain 9 of logistic maps. We consider global coupling with a time-delay that takes into account the nite velocity of propagation of interactions. We recently showed that clustering occurs for 11 weak coupling, while for strong coupling the array synchronizes into a global state where each element sees all othe...

Abstract Image and video data make up a significant portion of the content shared over Internet social media. The use image communication allows more information to be while simultaneously presenting higher risks in terms security. traditional encryption schemes are general purpose; however, encrypt data, application-specific solutions needed. An or frame comprises two-dimensional matrix where ...

In this report, we investigate phenomena on the edge of spatially uniform chaotic mode and spatial temporal chaos in a lattice of chaotic 1-D maps with only local connections. It is shown that in autonomous lattice with local connections, spatially uniform chaotic mode cannot exist if the Lyapunov exponent λ of the isolated chaotic map is greater than some critical value λcr > 0. We proposed a ...

In this report, we investigate phenomena on the edge of spatially uniform chaotic mode and spatial temporal chaos in a lattice of chaotic 1-D maps with only local connections. It is shown that in autonomous lattice with local connections, spatially uniform chaotic mode cannot exist if the Lyapunov exponent λ of the isolated chaotic map is greater than some critical value λcr > 0. We proposed a ...

This paper proposes a chaos-based image encryption scheme where one 2D tent map with two control parameters is utilized to generate chaotic orbits applied to scramble the pixel positions while one coupled map lattice is employed to yield random gray value sequences to change the gray values so as to enhance the security. Experimental results are carried out with detailed analysis to demonstrate...

many agriculturally important traits are complex, affected by many genes and the environment. quantitative trait loci (qtl) mapping is a key tool for studying the genetic structure of complex traits in plants. in the present study qtls associated with yield and agronomical traits such as leaf number, leaf length, leaf width, plant height, stem and head diameter were identified by using 70 recom...