AbstractThe paper involves thorough study of non-linear vibratory oscillators and numerical methodology to analyse and resolute the non-linear dynamical world. The study involves the analysis of non-linear oscillators like the Van der Pol Oscillator and Duffing Oscillator. Application of regular perturbation method in the oscillator is also demonstrated. The equilibrium and stability analysis o...

Mixed-mode oscillations (MMOs) are trajectories of a dynamical system in which there is an alternation between oscillations of distinct large and small amplitudes. MMOs have been observed and studied for over thirty years in chemical, physical, and biological systems. Few attempts have been made thus far to classify different patterns of MMOs, in contrast to the classification of the related ph...

This thesis describes an object detection system that extracts and combines appearance information over multiple consecutive video frames, inherently gaining and analyzing information related to motion. Objects that exhibit characteristic motion over the course of multiple frames are able to be detected at smaller scales than achievable by a single-frame detector. Our method builds on the detec...

Small-world architectures may be implicated in a range of phenomena from disease propagation to networks of neurons in the cerebral cortex [1-2]. While most of the recent attention on small-world networks has focussed on the effect of introducing disorder/randomness into a regular graph, we show that that the fundamental mechanism behind the small-world phenomenon is not dis-order/randomness, b...

Faculty of Science School of Computer Science Doctor of Philosophy by Muhammad Haris Khan Visual tracking is the task of repeatedly inferring the state (position, motion, etc) of the desired target in an image sequence. It is an important scientific problem as humans can visually track targets in a broad range of settings. However, visual tracking algorithms struggle to robustly follow a target...

Our understanding of ecosystem dynamics is directly linked to the scale at which we make our ecological observations. The ecological dynamics of Pleistocene coral communities varies with spatial and temporal scale of study. Reef coral communities studied over small spatial and temporal scales show ecological chaos where disturbance prevents ecological equilibrium, and those studied at the large...

The compatibility between a composite beam cross-sectional analysis based on the variational asymptotic approach, and a helicopter rotor blade model which is part of a comprehensive rotorcraft analysis code is examined. It was found that the finite element cross-sectional analysis code VABS can be combined with a moderate deflection rotor blade model in spite of the differences between the form...

Cluster analysis is a data mining technique used to identify hidden patterns within data. Most clustering algorithms treat different fields of data with equal weights and calculate the “distance” using the same method. They ignore the fact that different fields of data have different scales; therefore, the “distance” should be calculated differently. This study incorporated a traditional cluste...