We show that special perturbations of a particular holomorphic map on P give us examples of maps that possess chaotic nonalgebraic attractors. Furthermore, we study the dynamics of the maps on the attractors. In particular, we construct invariant hyperbolic measures supported on the attractors with nice dynamical properties.

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The affine synthesis operator Sc = P j>0 P k∈Z d c j,k ψ j,k is shown to map the coefficient space ℓ p (Z+ × Z d) surjectively onto L p (R d), for p ∈ (0, 1]. Here ψ j,k (x) = | det aj| 1/p ψ(ajx − k) for dilation matrices aj that expand , and the synthesizer ψ ∈ L p (R d) need satisfy only mild restrictions, for example ψ ∈ L 1 (R d) with nonzero integral or else with periodization that is rea...

In this paper, we investigate cyclic code over the ring Fpk + vFpk + v 2 Fpk + ...+ v r Fpk , where v = v, p a prime number, r > 1 and gcd(r, p) = 1, we prove as generalisation of [9] that these codes are principally generated, give generator polynomial and idempotent depending on idempotents over this ring as response to an open problem related in [11]. we also give a gray map and proprieties ...

Little is known about cell death in spinal cord tissue following compression injury, despite compression being a key component of spinal injuries. Currently models are used to mimic compression injury in animals and the effects of the compression evaluated by observing the extent and duration of recovery of normal motor function in the days and weeks following the injury. A fiber-optic photople...

Face recognition is important in human identification. The biological recognition technique acts as a good method and broad applications in security areas. This work presents a method to improve the face recognition accuracy using a combination of Principal Component Analysis (PCA), and Wavelet Transform. Wavelet Transform is used to decompose the input image with different levels and rearrange...