Bifurcation theory
Bifurcation theory of nonlinear boundary value problems
... BIFURCATION THEORY OF NONLINEAR BOUNDARY VALUE PROBLEMS Thesis by William Finlay Langford In Partial Fulfillment of the Requirements For the Degree of Doctor of Philosophy California Institute of Tech[.] ...
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Stability Analysis of a Single Degree of Freedom Mechanical Model with Distinct Critical Points: I Bifurcation Theory Approach
... and bifurcation theory, since they involve maxi- mum three control parameters and the visualization of results was to a significant extent satisfactory and quite informative, both quantitatively and ...
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Bifurcation theory of a square lattice economy: Racetrack economy analogy in an economic geography model
... This paper aims to elucidate the mechanism of economic agglomeration in a square lattice, which turns out to be quite complicated (Section 8). In order to tackle such complexity, a racetrack economy analogy is proposed. ...
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Bifurcation theory for vortices with application to boundary layer eruption
... codimension-two bifurcation at Re = ...paper: Bifurcation theory provides a list of possible vortex bifurcation ...a bifurcation event which is mathematically well understood, leading ...
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Bifurcation theory of a racetrack economy in a spatial economy model
... group-theoretic bifurcation theory is used to describe bifurcation from the uniform state, thereby presenting an insightful information on spatial ...
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Numerical Bifurcation Theory for High Dimensional Neural Models
... numerical bifurcation theory in general, but to demonstrate and review its use in the study of some models from the field of computational neu- roscience, in particular those that are high dimensional, ...
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Pattern transition in spacecraft formation flying via the artificial potential field method and bifurcation theory
... In recent years many new and exciting space con- cepts have developed around spacecraft formation flying. This form of distributed system has the advantages of being extremely flexible and robust. This paper considers ...
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Transcritical bifurcation of an immunosuppressive infection model
... 2. ∂f ∂y = 0 f or y ∗ > 0. (4) The new conditions cause a critical situation for the function f . For this case, we try to find a zero eigenvalue to apply transcritical bifurcation. Bifurcation ...
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Dynamic bifurcation for the granulation convection in the solar photosphere
... dynamic bifurcation for the granulation convection in the solar ...dynamic bifurcation theory, which is established by Ma and Wang (Phase transition dynamics, ...the bifurcation solution is ...
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Stability and Hopf bifurcation of a predator-prey model
... the theory of dynamics to analyze the differential equations based on a predator-prey ...applied bifurcation theory in dynamics based on ...Hopf bifurcation of a predator-prey model with time ...
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Bifurcation and chaos of an SIS model with logistic term
... using bifurcation theory and center manifold theory [19- ...transcritical bifurcation, flip bifurcation, Hopf bifurcation types and ...
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Bifurcation and Chaos in a Parasitoid Host Parasitoid Model
... and bifurcation theory (see [12] [13]), we can obtain the detailed existence conditions of these ...including bifurcation diagrams, phase portraits, are used to verify theoretical ...
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Global bifurcation results for general Laplacian problems
... point theory or topological degree argument. Also global bifurcation theory was mainly employed in ...global bifurcation phenomenon for general Laplacian problem (P) and prove the existence ...
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Assessing the dynamics of bifurcation transformations in the economy
... The study of the phase portrait of Italy demonstrates different types of bifurcation theory. We consider the political and economic phase portrait of the country (Fig. 2 (a)), which has a clearly defined ...
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Bifurcation analysis in a serogroup a meningococcal infection model
... the backward or subcritical bifurcation. This phenomenon was found in many epidemiological settings (see for instance, [28-35] and references therein). The epidemiological implication of is that the classical ...
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Discretization analysis of bifurcation based nonlinear amplifiers
... Andronov–Hopf bifurcation have been widely analyzed ana- ...Andronov–Hopf bifurcation based systems concerning numerical integration methods are an- ...Andronov–Hopf bifurcation into the normalform ...
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Climate bifurcation during the last deglaciation?
... the bifurcation hypothesis does not necessarily falsify ...a bifurcation may, by chance, not show the expected indicators of critical slowing down (Kuehn, ...toward bifurcation could make use of the ...
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Bifurcation Results for a Class of Perturbed Fredholm Maps
... degree theory introduced in 7 see also 8–10 for a special class of noncompact perturbations of Fredholm maps, called α-Fredholm ...a theory extends that defined in 6 we recall that any quasi-Fredholm map is ...
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Bifurcation of Sound Waves in a Disturbed Fluid
... subharmonic wave and its odd order harmonics i.e. the period-doubling bifurcation solutions are obtained. As was mentioned in the beginning of this paper, the authors of Ref. [1] as well as Ref. [3] demonstrated ...
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Hopf Bifurcation Control in a Lorenz Type System
... system (3) is a particular case of the system studied by Xianyi Li y Qianjun Ou in [11], where is proved, under standar hypotheses, the system has a Hopf bifurcation. Recently, in [12] is proved the Hopf ...
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