Saddle-node bifurcation
The Shilnikov Saddle-Node Bifurcation in a Monetary Policy with Endogenous Time Preference
... a saddle-node bifurcation, then a continuum of equilibria can depart from a given initial condition of the predetermined variable, as clearly shown in ...
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Demand Response Algorithms to Improve Electric Power System Stability Margins
... In this paper, we formulated a problem to spatially shift demand responsive load to improve static voltage stability. Specifically, we wish to increase the distance between the operating point and the point corresponding ...
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Multi-parameter uncertainty analysis of a bifurcation point
... a bifurcation point in a multi-parameter ...a saddle-node bifurcation against those parameters that govern the heat balance of the ...The bifurcation brings about a change from a wet ...
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Basin Boundary Collision As A Model Of Discontinuous Change In Ecosystems
... of bifurcation may lead a formerly stable pop- ulation to that ...The bifurcation diagram with m as the bifurcation parameter, is illustrated in ...distinct bifurcation types, as illustrated ...
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The filament-bundle elastica
... Filament-bundles are ubiquitous in nature. They are composed by an assembly of flexible rods held to- gether by elastic springs, such as found in ciliary systems and flagella. We study the static, post-transient, ...
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Analysis of Bifurcations in a Wind Turbine System Based on DFIG
... Then, bifurcation theory was presented. It was demonstrated that bifurcation theory allows a qualitative assessment and identification of the expected system at different operation points without resorting ...
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Differential Evolution Technique for Determining Shortest Distance to Voltage Collapse
... The DE based technique developed and has been implemented on a 6–bus, and 25-bus standard test systems for determining the closest saddle node bifurcation point. It determines the optimum ...
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Switching Mode Amplifier for High Voltage Piezo Actuator
... local bifurcation (such as saddle- node, transcritical and pitchfork)with particular emphasis on the hopf bifurcation near of the positive equilibrium point of ecological mathematical model ...
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Bifurcation scenarios in semiconductor lasers subject to optical injection
... Hopf bifurcation curve on Figure 6, we expect that the (up to this point) stable equilibrium obtained from the saddle-node bifurcation will lose its stability and become unstable as the ...
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A Viral Infection Model with a Nonlinear Infection Rate
... including saddle-node bifurcation, Hopf bifurcation, homoclinic bifurcation, and bifurcation of cusp-type with codimension two ...Bogdanov-Takens bifurcation, have been ...
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Nonsmooth dynamics in spiking neuron models
... a saddle node on the right v - branch, which is key in delineating the basins of attraction of the two ...the saddle on the right v -branch. A homoclinic bifurcation (HC), indicated by the ...
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Artificial Vascular Bifurcations – Design and Modelling
... each bifurcation are set to be long enough for flow to become fully developed far before the confluent ...a bifurcation is shown on the right of figure ...of bifurcation due to complex ...
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The antitriangular factorisation of saddle point matrices
... to saddle point ...specific saddle point problems arising in constrained indefinite least squares [16], gives a different but related anti- triangular ...
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Bifurcation Analysis of Two Biological Systems: A Tritrophic Food Chain Model and An Oscillating Networks Model
... Hopf bifurcation is also known as Poincar´e-Andronov-Hopf bifurcation, named after Henri Poincar´e, Eberhard Hopf, and Aleksandr Andronov ...Hopf bifurcation appears from a critical point at which ...
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Noise induced escape from different types of chaotic attractor
... The prehistory of escape from the Lorenz attractor is defined by stable and unstable manifolds of the saddle center point, and the escape itself consists of crossing the saddle cycle sur[r] ...
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Long-term survival with surgery for metachronous retroperitoneal lymph node and pancreatic metastases after curative resection of rectal cancer: a case report
... lymph node metastases from CRC, except for the reports only about paraaortic lymph node metastasis, few reports showed favorable outcomes in selected patients ...lymph node metasta- ses as lymph ...
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Noise induced escape from different types of chaotic attractor
... by saddle cycles built into the structure of the quasi-attractor and that there is a unique optimal (in sense of minimal uctuational action) path, which starts from the saddle cycle of period 5 ( S 5) ...
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Dynamical analysis of a competition and cooperation system with multiple delays
... Hopf bifurcation occurs. Furthermore, we give details of the bifurcation values that describe the direction of the Hopf bifurcation and the stability of the bifurcated periodic solution using centre ...
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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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Clinical and functional outcomes of the saddle prosthesis
... The saddle prosthesis was developed by Nieder in 1979 at the Endo-Klinik (Hamburg, Germany) for reconstruction of severe acetabular bone defects, secondary to total replacement of an infected hip [1, ...the ...
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