Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 45 for “"Bifurcation Analysis"”.
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Bifurcation Analysis of Endogenous Growth Models
It is important to recognize that bifurcation boundaries do not necessarily separate stable from unstable solution domains. Bifurcation boundaries can separate one kind of unstable dynamics domain from another kind of unstable dynamics domain, or one kind of stable dynamics domain from another …
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Bifurcation analysis and control of a fighter aircraft
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1993.
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Multilayered Structures under large Bending: Finite Solution and Bifurcation Analysis
… possible in-plane and out-of-plane incremental bifurcations. The analysis reveals that a multilayered structure can behave in a completely different way from the corresponding homogeneous plate. For a thick plate of neo-Hookean material for instance, the presence of a stiff coating strongly …
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Bifurcation Analysis of a Model of the Frog Egg Cell Cycle
… to the behavior of the model are provided by bifurcation theory, especially characterization of the codimension-1 and -2 bifurcation sets of the differential equations. To illustrate this method, I have been studying a system of 9 ordinary differential equations that describe the frog egg cell …
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Bifurcation Analysis and Qualitative Optimization of Models in Molecular Cell Biology with Applications to the Circadian Clock
… related to certain mathematical structures. Bifurcation analysis gives us a glimpse of these structures, and we can use these glimpses to build our models with greater confidence. In this dissertation, I will discuss the particular problem of the circadian clock and describe a number of new …
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Bifurcation analysis near the cessation of complete chatter and Shilnikov homoclinic trajectories in a pressure relief valve model
The student, Erika Fotsch, submitted this Thesis for approval on 2016-01-19 at 09:37.
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Dynamic modeling and analysis of oscillatory bioreactors
… principle models also make model validation and analysis very difficult and model-based controller design practically intractable. This thesis has focused on finding an effective tool for model dynamic analysis, construction of low-dimension model and simple and effective controller design. The …
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Global bifurcations and chaos in nonlinear mechanical systems
The local and global bifurcation behavior of various structural and mechanical systems have been examined in detail. The analysis is divided into three main parts. In the first part, global bifurcation analysis is performed for externally excited nonlinear systems with initial imperfections and a …
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Tumour growth model of cancer self-remission with hassell-varley functional response
… model of cancer self-remission. Dimensional analysis, stability analysis and bifurcation analysis are used to analyse the model. Under certain condition, our numerical analysis showed an existence of Hopf-bifurcation for some parameter ranges, which generate periodic solution.
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Analytical and Computational Tools for the Study of Grazing Bifurcations of Periodic Orbits and Invariant Tori
… discusses mathematical tools for the analysis of hybrid dynamical systems and their application to a series of model examples. Specifically, qualitative changes in the system dynamics from a nonimpacting to an impacting motion, referred to as grazing bifurcations, are studied in …
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Comparison of theory and experiment for flexural-torsional buckling of laminated composite columns
… are computed from the theory using a linear bifurcation analysis, and are compared to available experimental data. Also, a geometrically nonlinear beam column analysis by the finite element method is developed from the theory. Results from the nonlinear compression response analysis are …
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A study of localized failure modes in brittle materials
… The onset of localization is characterised by a bifurcation, where spatially uniform deformation is replaced by highly localized bands of large strain. Simple bifurcation analysis techniques are used, and are shown to extend the present predictive capability of the damage model and to indicate …
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Sir epidemic and predator - prey models of fractional-order
… in the sense of the Caputo derivative. Stability analysis of the equilibrium points of the models for the fractional models were analyzed. Furthermore, the Hopf bifurcation analysis of each model was investigated . The result obtained showed that the model undergo Hopf bifurcation for some values. …
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Competition and Persistence of Microorganisms in the Gradostat
… concentration levels. Moreover, through a bifurcation analysis we can partially describe the region in the parameter space corresponding to persistence, and give numerous numerical examples of coexistence when our sufficient persistence conditions are fulfilled.
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Nonlinear Control System Stability Metrics via A Singular Perturbation Approach
… for LTI and LTV systems, respectively. In the analysis and design of nonlinear systems, the determination of the Domain of Attraction (DOA) is a problem of fundamental importance, and through bifurcation analysis and Lyapunov’s methods, the relationship between the estimated DOA and the …
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Application of Lyapunov Exponents to Strange Attractors and Intact & Damaged Ship Stability
… Lyapunov exponents are used in conjunction with bifurcation analysis to determine regions of stable behavior in strange attractors when the system parameters are varied. The boundaries of stability are important for algorithm validation, where these transitions between stable and unstable …
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Noncooperative static and dynamic games: addressing shared constraints and phase transitions
… with a large number of agents. The focus of analysis is on a variation of the large population linear quadratic Gaussian (LQG) model proposed by Huang et. al. 2007 [1], comprised here of a controlled N-dimensional stochastic differential equation model, coupled only through a cost function. …
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Spatial Voting Models: A Dynamical Systems Approach
… thereby adding a temporal component to the analysis that allowed for a more realistic model of candidate behaviour in the lead-up to an election. Using a two-candidate and one-voting bloc case, the results from this research identified several critical points that described different types …
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Anti-plane Shear of Cylinders and Layered Systems: Cohesive Fracture and Instability
… growth in both cylinder and layered systems. The analysis, which is exact, is based on the solution of two fundamental elasticity problems: i) a cylinder subject to an arbitrary shear on one end cap and an equilibrating torque on the other and, ii) a layer subject to arbitrary anti-plane shear …
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Modeling of Circadian Rhythms: Robust Temperature Compensation in Drosophila melanogaster and Testable Hypotheses in Neurospora crassa
… However, based on our mathematical models and analysis, we propose that there is also an autocatalytic effect based on proteolysis and stabilization of PER proteins. Based on the dynamics of multiple steady states and limit cycle oscillation, we propose an alternative mechanism for robust …
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