We systematically investigate examples of non-hyperbolic dynamical systems having irregular sets full topological entropy and Hausdorff dimension. The include some partially hyperbolic geometric Lorenz flows. also pose interesting questions for future research.

This dissertation presents optimization techniques for efficient data parallel formulation/implementation of highly irregular problems, and applies the techniques to O(N) hierarchical N–body methods for large–scale N–body simulations. It demonstrates that highly irregular scientific and engineering problems such as nonadaptive and adaptive O(N) hierarchical N–body methods can be efficiently imp...

Context. Irregular galaxies usually are smaller and less massive when compared to the spiral, S0 and elliptical counterparts. The radio observations show that the magnetic field in irregular galaxies is present and its value reaches the same level as in spiral galaxies. However the conditions in the medium of irregular galaxy are very unfavorable for amplification of the magnetic field due to s...

Objective: The objective is to obtain the stresses due to strip loading in orthotropic plate lying over an irregular isotropic elastic medium. Methods: Anti-plane strain problem with perfect bonding boundary conditions following by Fourier Transformation on the equilibrium equation are used to obtain the solution. The deformation field due to shear line load at any point of the medium consistin...

Techniques from sparse representation have been successfully applied in many areas like digital image processing, computer vision and pattern recognition in the past ten years. However, sparsity based methods in geometric processing is far from popular than its applications in these areas. The main reason is that geometric signal is a two-dimensional manifold and its discrete representations ar...