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 30 for “"Bifurcation Theory"”.
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Application of Bifurcation Theory to Subsynchronous Resonance in Power Systems
A bifurcation analysis is used to investigate the complex dynamics of two heavily loaded single-machine-infinite-busbar power systems modeling the characteristics of the BOARDMAN generator with respect to the rest of the North-Western American Power System and the CHOLLA# generator with respect to …
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On the stability of rotor bearing systems based on Hopf bifurcation theory
… effects are evaluated by applying the Hopf bifurcation theory (HBT) to the equations of motion. A method is developed for predicting the stability envelope of rotor-bearing systems using HBT. Results are compared with published literature obtained using a trial-and-error method. A method …
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Advances in numerical bifurcation software : MatCont
… of MatCont, a freely available toolbox, is bifurcation theory which is a field of hard analysis. Bifurcation theory treats dynamical systems from a high-level point of view. In the case of continuous dynamical systems this means that it considers nonlinear differential equations without any …
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GMD Decoding of Euclidean -Space Codes and Iterative Decoding of Turbo Codes
Using the bifurcation theory, the qualitative transition of phase trajectories in the waterfall region is associated with the bifurcation of certain fixed points. This connection explains the dramatic improvement of performance in the waterfall region, and leads to a better understanding of the …
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Dynamics of power systems at critical load levels
… nature of the voltage problem. Finally, Hopf bifurcation theory has been used to analyze the nonlinear power system at critical load levels.
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Nonlinear dynamics of a nematic liquid crystal in the presence of a shear flow
… crystal in the context of a Landau-de Gennes theory. There exist two parameters that control the behaviour of the system: the temperature and the shear rate, and by employing continuation and bifurcation theory we describe the different time dependent states for the two and three dimensional …
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Wide Area Analysis and Application in Power System
… is introduced in detail. With combining the bifurcation theory of nonlinear system and the optimization theory, the optimal control of small-signal stability of power electric systems are solved. From the perspective of stability margin, global coordination of controller parameters is studied …
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Effects of shape geometry in viscous streaming
… flows, analysing the system through the lens of bifurcation theory. Our setup consists of periodic, regular lattices of cylinders characterized by two distinct radii, so as to inject discrete curvatures into the system, which in turn affect the streaming field generated due to an oscillatory …
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Tracing parametrized optima for inequality constrained nonlinear minimization problems
… were given using the results of the stability theory, and the connection was shown between these results and classical optimization theory. For the standard nonlinear programming problem these conditions are equivalent to the Mangasarian-Fromovitz criterion and the standard second order …
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Population dynamics: general results from local analysis
… models can be analysed in the framework of local bifurcation theory. In order to compute bifurcations efficiently a mathematical technique, the method of resultants, is derived. Application of the method of resultants and the general modelling approach reveals a new, general solution to the famous …
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Aircraft wing rock dynamics and control
… method, Center Manifold Reduction principle, and bifurcation theory. The technique yields solutions in parametric forms and leads to the separation of fast and slow dynamics, and a great insight into the system behavior. Further, a unified framework for the investigation of wing rock dynamics and …
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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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Robust bifurcation behavior in the presence of external random excitation
… of stability is examined within the context of bifurcation theory. Physically the problem is motivated by the flight dynamics of aircraft at large angles of attack and sideslip in a turbulent atmosphere. A qualitative criterion for robust bifurcation behavior is suggested and it is found the …
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Oscillations of a Fluid in a Channel
… of periodic solutions) using tools of bifurcation theory. In order to do this we need fundamental facts of existence and regularity of solutions, spectral analysis of the linear system connected with the free boundary value problem taking into account the underlying symmetries, and …
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Modeling the Impact Of Environmental Factors, Diapause and Control Strategies on Tick and Tick-Borne Disease Dynamics
… equations, basic reproduction numbers and Hopf bifurcation theory. For this purpose, we produce three different models to study the effect of physiological features such as diapause, control strategies and the effect of environmental conditions on tick and tick-borne disease persistence and …
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Linear and nonlinear vibrational characteristics of oil lubricated journal bearings
… into two parts. In Part 1, linear stability theory is used to determine the critical parameter values at which oil whirl is initiated. This information is conveniently expressed on a two dimensional stability chart, separating regions of stability from those of instability. The vibrational …
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Discrete symmetry analysis of partial differential equations for bond pricing
… thence how to determine prices, underlies the theory of financial derivatives pricing and hedging [40]. We use arbitrage together with the Black-Scholes model for asset price movements when trading derivative securities. 1Arbitrage is used to creating a portfolio and the discrete symmetries …
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Stability of nonlinear oscillatory systems with application to ship dynamics
A procedure to generate an approximate bifurcation diagram for a single-degree-of-freedom system in a selected parameter space is developed. The procedure is based on the application of Floquet analysis to determine the stability of second-order perturbation approximations of the solutions of the …
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Enhancements in Markovian Dynamics
… this dissertation we study enhancements on the theory of hidden Markov modeling. These include three branches: 1) a robust as well as a closed-form parameter estimation solution to the expectation maximization (EM) process of HMMs for the case of elliptically symmetrical densities; 2) a two-step …
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Mathematical modelling of emerging and re-emerging infectious diseases in human and animal populations
… of the strains and using arguments from bifurcation theory, draw conclusions on the equilibria stability and find that a rather unusual behaviour of histeresis-type might emerge after repeated variations of the vaccination rate within a certain range. The most of this thesis has been …
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