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  • A Ross-Macdonald Model with Vector Demography

    Creator:
    Reyes Grimaldo, Ricardo Noe Gerardo
    Abstract:
    Malaria is a vector-borne disease that has affected humans and other animals for a long time and which has shown high prevalence among different populations. During the beginning of the 20th century, Sir Ronald Ross and George Macdonald developed a model that represents the spread of malaria through the interaction...
    Resource Type:
    Masters Thesis
    Full Text:
    mosquitoes. With the help of both classic and modern techniques of dynamical systems, we analyze the

  • Localized Structures in a Diffusive Run-and-Tumble Model of Myxococcus xanthus

    Creator:
    Flynn, Patrick Thomas
    Abstract:
    The bacteria Myxococcus xanthus clusters into fruiting bodies in the absence of food. The movement of M. xanthus has three aspects: self-propulsion (run), change of direction due to collision (tumble), and Brownian fluctuations in movement. We propose a minimalist PDE model for the concentrations of left and right moving agents...
    Resource Type:
    Honors College Thesis
    Full Text:
    stationary solutions to this equation, utilizing geometry and dynamical systems theory to show existence of

  • Stability of discrete bilinear systems

    Creator:
    Yang, Xueshan
    Resource Type:
    Dissertation
    Full Text:
    written on the stability of time-varying discrete bilinear systems with feedback control. And most

  • Notions of complexity in substitution dynamical systems

    Creator:
    Wing, David Josiah
    Abstract:
    There has been a lot of work done in recent decades in the field of symbolic dynamics. Much attention has been paid to the so-called "complexity" function, which gives a sense of the rate at which the number of words in the system grow. In this paper, we explore this...
    Resource Type:
    Dissertation
    Full Text:
    symbolic dynamical system (that is, a set of infinite strings of symbols under a certain continuous map

  • Neural network control of nonlinear discrete time systems

    Creator:
    Zakrzewski, Radoslaw Romuald
    Abstract:
    The main focus of this work is on the problem of existence of nonlinear optimal controllers realizable by artificial neural networks. Theoretical justification, currently available for control applications of neural networks, is rather limited. For example, it is unclear which neural architectures are capable of performing which control tasks. This...
    Resource Type:
    Dissertation
    Full Text:
    of nonlinear dynamical systems. Still, the theory behind such applications is unsatisfactory and

  • Explicit Dynamical Systems on the Sierpiński Curve

    Creator:
    Homsomboon, Worapan
    Resource Type:
    Dissertation
    Full Text:
    introduced. Next, we give definitions and notions of discrete dynamical systems including symbolic dynamics

  • A Dynamical Systems Approach to the Treatment of Psychosis

    Creator:
    Badeau, Ann Marie
    Abstract:
    The purpose of this paper is to explore the potential value of using a computer simulated systems dynamics model to address psychosis in mental illness. Psychosis is defined as a syndrome which is associated with many mental disorders, not a specific disorder itself. Psychosis generally produces delusions and hallucinations and...
    Resource Type:
    Masters Thesis
    Full Text:
    . Mathematically, a dynamical system is described by an initial value problem. 8 Dynamical systems are

  • Existence and uniqueness results for ℓ -optimal linear dynamic controllers for discrete time SISO systems

    Creator:
    Alpay, Mehmet Emin
    Resource Type:
    Masters Thesis
    Full Text:
    : Existence and Uniqueness Results for /1-optimal Linear Dynamic Controllers for Discrete Time SISO Systems

  • Discrete modeling of flow systems

    Creator:
    Chang, Feg-Wen
    Abstract:
    This study develops a general discrete flow model which is discrete both in time and space. A stirred tank network model (continuous time compartment model) is summarized and then compared with the discrete flow model. Both models make use of a fractional input matrix with elements representing the fraction of...
    Resource Type:
    Dissertation
    Full Text:
    flow model which is discrete both in time and space. A stirred tank network model (continuous time

  • Spatial graphical models with discrete and continuous components

    Creator:
    Che, Xuan
    Abstract:
    Graphical models use Markov properties to establish associations among dependent variables. To estimate spatial correlation and other parameters in graphical models, the conditional independences and joint probability distribution of the graph need to be specified. We can rely on Gaussian multivariate models to derive the joint distribution when all the...
    Resource Type:
    Dissertation
    Full Text:
    with Discrete and Continuous Components. Abstract approved: Alix I. Gitelman Graphical models use