Abstract In this article, our goal is to study the singular limits for a scaled barotropic Euler system modeling rotating, compressible and inviscid fluid, where Mach number $$=\epsilon ^m $$ = ϵ m , Rossby Froude ^n n</mm...

Recent theory suggests that animals should switch facultatively among canonical movement modes as a complex function of internal state, landscape characteristics, motion capacity, and navigational capacity. We tested the generality of this paradigm for free-ranging elk (Cervus elaphus) over 5 orders of magnitude in time (minutes to years) and space (meters to 100 km). At the coarsest spatiotemp...

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...

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...