Distribution of roots of quasianalytic functions

V. S. Konyukhovskii

doi:10.1007/bf01098808

Distribution of roots of quasianalytic functions

Mathematical Notes ◽

10.1007/bf01098808 ◽

1974 ◽

Vol 16 (1) ◽

pp. 585-591

Author(s):

V. S. Konyukhovskii

Keyword(s):

Distribution Of Roots ◽

Quasianalytic Functions

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Spatial Distribution of Roots across Three Dryland Ecosystems and Plant Functional Types

Western North American Naturalist ◽

10.3398/064.079.0203 ◽

2019 ◽

Vol 79 (2) ◽

pp. 159 ◽

Cited By ~ 1

Author(s):

Jessica G. Swindon ◽

William K. Lauenroth ◽

Daniel R. Schlaepfer ◽

Ingrid C. Burke

Keyword(s):

Spatial Distribution ◽

Plant Functional Types ◽

Functional Types ◽

Dryland Ecosystems ◽

Distribution Of Roots

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On the distribution of roots of polynomials in sectors. Ill

Probability Theory and Mathematical Statistics ◽

10.1515/9783112314081-020 ◽

1999 ◽

pp. 229-234

Keyword(s):

Roots Of Polynomials ◽

Distribution Of Roots

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Hopf bifurcation of a delayed worm model with two latent periods

Advances in Difference Equations ◽

10.1186/s13662-019-2372-1 ◽

2019 ◽

Vol 2019 (1) ◽

Cited By ~ 1

Author(s):

Juan Liu ◽

Zizhen Zhang

Keyword(s):

Hopf Bifurcation ◽

Sensor Network ◽

Center Manifold ◽

Sufficient Conditions ◽

Normal Form Theory ◽

Center Manifold Theorem ◽

Form Theory ◽

Worm Model ◽

Distribution Of Roots ◽

Influential Parameters

Abstract We investigate a delayed epidemic model for the propagation of worm in wireless sensor network with two latent periods. We derive sufficient conditions for local stability of the worm-induced equilibrium of the system and the existence of Hopf bifurcation by regarding different combination of two latent time delays as the bifurcation parameter and analyzing the distribution of roots of the associated characteristic equation. In particular, we investigate the direction and stability of the Hopf bifurcation by means of the normal form theory and center manifold theorem. To verify analytical results, we present numerical simulations. Also, the effect of some influential parameters of sensor network is properly executed so that the oscillations can be reduced and removed from the network.

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