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  • Determination of the Filippov solutions of the nonlinear oscillator with dry friction

    Creator:
    Moreland, Heather L.
    Abstract:
    In previous papers by Awrejcewicz in 1986 and Narayanan and Jayaraman in 1991, it was claimed that the nonlinear oscillator with dry friction exhibited chaos for several forcing frequencies. The chaos determination was achieved using the characteristic exponent of Lyapunov which requires the right-hand side of the differential equation to...
    Resource Type:
    Masters Thesis
    Full Text:
    Jayaraman in that the system does not exhibit chaotic behavior. In fact, for certain combinations of

  • Classical chaotic scatting from symmetric four hill potentials

    Creator:
    Bauman, Jordan Michael
    Abstract:
    Classical chaotic scattering experiments were performed on ten different four hill potentials, unique under x-axis reflection, given by: V(x,y) = x²y²e⁻⁽ˣ² ⁺ ʸ²⁾ σᵢ where σᵢ was ±1 depending upon quadrant. Our work was based on a paper (9) that only studied the case where σᵢ =1 in all quadrants....
    Resource Type:
    Masters Thesis
    Full Text:
    chaotic set (17). In a generic chaotic scattering experiment, the system has regular behavior (i.e

  • Chaotic response and stability of offshore equipment

    Creator:
    Lin, Huan
    Abstract:
    This investigation deals with the chaotic rocking response and overturning stability of offshore equipment subjected to base excitations due to wave-induced motions of the supporting compliant offshore structural system. The equipment compliant structural system is modelled as a free-standing rigid object subjected to horizontal and vertical base accelerations. Three of...
    Resource Type:
    Masters Thesis
    Full Text:
    analysis of chaotic behavior of nonlinear systems has been developed in the physical science and

  • Chaos in a long rectangular wave channel

    Creator:
    Bowline, Cynthia M.
    Abstract:
    The Melnikov method is applied to a model of parametrically generated cross-waves in a long rectangular channel in order to determine if these cross-waves are chaotic. A great deal of preparation is involved in order to obtain a suitable form for the application of the Melnikov method. The Lagrangian for...
    Resource Type:
    Dissertation
    Full Text:
    theoretical tools for studying chaotic behavior. One common strategy is to obtain the homoclinic orbit in

  • Deterministic and stochastic control of nonlinear oscillations in ocean structural systems

    Creator:
    King, Paul E.
    Abstract:
    Complex oscillations including chaotic motions have been identified in off-shore and submerged mooring systems characterized by nonlinear fluid-structure interactions and restoring forces. In this paper, a means of controlling these nonlinear oscillations is addressed. When applied, the controller is able to drive the system to periodic oscillations of arbitrary periodicity....
    Resource Type:
    Dissertation
    Full Text:
    ............................................ 11 2. Control of Noisy Chaotic Motion in a System with Nonlinear Excitation and Restoring Forces

  • Nonlinear oscillations, bifurcations and chaos in ocean mooring systems

    Creator:
    Gottlieb, Oded
    Abstract:
    Complex nonlinear and chaotic responses have been recently observed in various compliant ocean systems. These systems are characterized by a nonlinear mooring restoring force and a coupled fluid-structure interaction exciting force. A general class of ocean mooring system models is formulated by incorporating a variable mooring configuration and the exact...
    Resource Type:
    Dissertation
    Full Text:
    resulting in chaotic system dynamics. Further stability analysis of the subharmonic and ultraharmonic

  • Spatial distribution and the probability of occurrence of beluga whales (Delphinapterus leucas) in Alaskan Arctic

    Creator:
    Romeo, Lucy F.
    Abstract:
    The known distribution of beluga whales ranges from sub-Arctic to Arctic waters where they migrate in pods in response to environmental factors such as the presence of sea ice and prey. This study uses bivariate and multivariate analysis techniques to measure how environmental covariates are associated with the spatial-temporal distribution...
    Resource Type:
    Masters Thesis
    Full Text:
    projected coordinate system, which was measureable in meters. Slope was derived from the bathymetric

  • Landscape occupancy by free ranging cattle in northeast Oregon

    Creator:
    Wilson, Kerry D.
    Abstract:
    Global Positioning System (GPS) and Geographic Information System (GIS) technologies were employed to evaluate cattle occupancy of three landscape attributes on three different grazing allotments administered by the Wallowa Whitman National Forest in Northeast Oregon. Topographic characteristics of slope; 0-4%, 4-12%, 12-35% and >35% were evaluated as well as north...
    Resource Type:
    Masters Thesis
    Full Text:
    accumulation of knowledge connecting environmental factors to cattle behavior while grazing in rugged terrain

  • Distribution and behavior of cattle grazing riparian pastures

    Creator:
    Wilson, Marie A. (Marie Annette)
    Abstract:
    One second GPS collars were deployed on cattle in three different pastures at three separate times during the year. In each riparian pasture the vegetative communities and stream bank edge were digitally mapped using low elevation aerial photographs and checked in the field for accuracy. A 5 m buffer zone...
    Resource Type:
    Masters Thesis
    Full Text:
    declined. Low et al. (1981b) observed little change in animal behavior in Australia even though cattle