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bifurcation point

Variational Methods for NLEV Approximation Near a Bifurcation Point

Variational Methods for NLEV Approximation Near a Bifurcation Point

... The term “nonlinear eigenvalue” NLEV is a frequent shorthand for “eigenvalue of a nonlinear problem,” see, for instance 1–3. While for the estimation of eigenvalues of linear operators there is wealth of abstract and ...

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Multi-parameter uncertainty analysis of a bifurcation point

Multi-parameter uncertainty analysis of a bifurcation point

... innovative point is that we investigate the bifurcation point in the whole pa- rameter space and not just in dependence on two parameters, as it is mainly done in other bifurcation uncertainty ...

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Shift of bifurcation point due to noise induced parameter

Shift of bifurcation point due to noise induced parameter

... The bifurcation theory plays a significant role in the behavior of the linear ...Hopf bifurcation, which generates an unstable or stable limit cycle according as whether the bifurca- tion parameter is ...

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"European monetary union: limits to growth or bifurcation point"

"European monetary union: limits to growth or bifurcation point"

... the bifurcation point, whereas its further improvement or gradual preservation and decline depend upon the direction in which the point is ...

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Prebifurcation noise amplification and noise-dependent hysteresis as indicators of bifurcations in nonlinear geophysical systems

Prebifurcation noise amplification and noise-dependent hysteresis as indicators of bifurcations in nonlinear geophysical systems

... the bifurcation is estimated from the con- dition that the contribution of the non-linear term becomes comparable (in the sense of mean squares) with that of the linear ...simple bifurcation models (period ...

5

Nonsmooth dynamics in spiking neuron models

Nonsmooth dynamics in spiking neuron models

... fixed point on the left v -branch and a fast spiking orbit when β > 1 and I < ...fixed point is the set of initial data such that trajectories reach threshold and are subsequently reset to the right ...

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Multiplicity Results Using Bifurcation Techniques for a Class of Fourth-Order -Point Boundary Value Problems

Multiplicity Results Using Bifurcation Techniques for a Class of Fourth-Order -Point Boundary Value Problems

... possesses the line of trivial solutions Θ {λ, 0 | λ ∈ R}. It is well known that if μ ∈ R, a necessary condition for μ, 0 to be a bifurcation point of 1.7 with respect to Θ is that μ ∈ σL. If μ is a simple ...

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An application of optimal control to the marine artisanal fishery in Ghana

An application of optimal control to the marine artisanal fishery in Ghana

... reference point of the model, the optimum sustainable yield (OSY), is also ...explored. Bifurcation analysis of the model shows that it undergoes transcritical bifurcation, and it is structurally ...

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Bifurcation Analysis and Fractal Dimensions of a Non- Linear Map

Bifurcation Analysis and Fractal Dimensions of a Non- Linear Map

... fixed point up to certain value of the parameter “a”. The bifurcation diagram nicely shows the forking of the periods of stable orbits from 1 to 2, then 2 to 4 ...the bifurcation point, which ...

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PROTECT SENSITIVE KNOWLEDGE IN DATA MINING CLUSTERING ALGORITHM

PROTECT SENSITIVE KNOWLEDGE IN DATA MINING CLUSTERING ALGORITHM

... contain bifurcation. Bifurcation detection is a very crucial step to obtain the optimum result and proper classification between normal veins with the veins that have the ...the bifurcation ...

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Experimental Investigation Of Buckling Behavior Of Cracked Steel Cones Subjected To Axial Compression

Experimental Investigation Of Buckling Behavior Of Cracked Steel Cones Subjected To Axial Compression

... Jabareen and Sheinman (2006) conducted a research of pre-buckling nonlinearity on the bifurcation point of a conical shell on the three basic shell theories which are Donnell’s, Sander’s and Timoshenko’s. ...

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Typical Extreme Posture Analysis of Symmetrical Stewart Platform

Typical Extreme Posture Analysis of Symmetrical Stewart Platform

... Here, example manipulator’s minimum link length is 1m, and the maximum link length is 1.4m. Results show that no matter what the value of n is, the maximal condition number is the same, which corresponds to the three ...

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Zero dispersion nonlinear resonance in dissipative systems

Zero dispersion nonlinear resonance in dissipative systems

... 0.325. Figure 2 shows the bifurcation diagram in the plane of the driving force parameters for G ­ 0.011. Its structure is typical of that expected for any system with an extremum in eigenfrequency as a function ...

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Discretization analysis of bifurcation based nonlinear amplifiers

Discretization analysis of bifurcation based nonlinear amplifiers

... Every algorithmic step of an explicit Runge–Kutta method (Stoer and Bulirsch, 1978) applied to an Andronov–Hopf system can be generalized to either an insertion f (g(z)) or an addition b · f (z) + c · g(z) with f , g ∈ A ...

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Dynamical analysis of a competition and cooperation system with multiple delays

Dynamical analysis of a competition and cooperation system with multiple delays

... These formulae give a description of the Hopf bifurcation periodic solution of system (1.3) at τ = τ j (j = 0, 1, 2, . . .) on the centre manifold. Thus, we can obtain the following results according to the ...

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Fast–Slow Bursters in the Unfolding of a High Codimension Singularity and the Ultra-slow Transitions of Classes

Fast–Slow Bursters in the Unfolding of a High Codimension Singularity and the Ultra-slow Transitions of Classes

... 6 Bifurcation diagrams along bursting ...the bifurcation diagram of the fast subsystem using z as bifurcation parameter and plotting the fast variable x as ...(eight point-cycle and one ...

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Hopf bifurcation in a environmental defensive expenditures model with time delay

Hopf bifurcation in a environmental defensive expenditures model with time delay

... In this paper a three-dimensional environmental defensive expendi- tures model with delay is considered. The model is based on the inter- actions among visitors V , quality of ecosystem goods E , and capital K , intended ...

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'The Case for Authority'

'The Case for Authority'

... practical point of view the principle of aiming at the “greatest happiness of the greatest number” is prima facie more definitely opposed to Egoism than the Common- Sense Morality ...

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A Viral Infection Model with a Nonlinear Infection Rate

A Viral Infection Model with a Nonlinear Infection Rate

... The bifurcation analysis indicates that ...Bogdanov-Takens bifurcation at the degenerate singular infection equilibrium which includes a saddle-node bifurcation, a Hopf bifurcation, and a ...

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Bifurcation analysis of an e SEIARS model with multiple delays for point to group worm propagation

Bifurcation analysis of an e SEIARS model with multiple delays for point to group worm propagation

... from the source simultaneously. Moreover, the information exchange in the same group is more frequent and more trustworthy, which makes it easier for computer viruses to propagate in the same group. Although there are ...

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