Essays on Perturbation

Summary Of Proposed Research

Global drought not only affects the world agriculture and economics, but interactively affects the phenotypic trait of plants across a different diversity gradient. Nevertheless, plants are able to adapt themselves to the drought environment by changing their phenotypic trait. From previous research at Jena Drought Experiment, in Germany, the results show that diversity not only has the capability to increase community’s resistance to drought, but also to increase community’s recovery ability after drought. On the other hand, the results show that the drought environment makes a strong selection on both, the plant phylogeny and functional trait. Yet, ...

CHAPTER I

THE NATURE AND SCOPE OF THE PROBLEM Introduction As far as human walking is concerned, it has been best described as the progression of the body’s center of mass along a pathway by moving the two legs alternatively. It is generally acknowledged that the development of walking skill in human beings is completed by the age of five (Sutherland, 1980). Locomotion is influenced by interactions between neuromuscular activity as well as musculoskeletal alignment (Perry & Burnfield, 2010). In addition, there are several other factors that can affect the coordination pattern of walking. These include sensory information from somatosensory, visual ...

Introduction

Perturbation method and method of strained coordinates is usually not in a position of computing standard legitimate expansions in cases, in which steep changes in dependent variables occurs in particular sections of the domain of the independent variables. In such occurrences, simple expansions are used to simplify such section, and strained coordinates that are almost similar to them are not able to handle the steep changes. In order to acquire standardized legitimate expansions, one must acknowledge and embrace the fact that the steep changes are featured by the magnified scales, which are distinct from the scale featuring the behavior of ...