Distribution of roots of quasianalytic functions

1974 ◽  
Vol 16 (1) ◽  
pp. 585-591
Author(s):  
V. S. Konyukhovskii
2019 ◽  
Vol 79 (2) ◽  
pp. 159 ◽  
Author(s):  
Jessica G. Swindon ◽  
William K. Lauenroth ◽  
Daniel R. Schlaepfer ◽  
Ingrid C. Burke

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Juan Liu ◽  
Zizhen Zhang

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.


2007 ◽  
Vol 89 (5) ◽  
pp. 430-441 ◽  
Author(s):  
José Bonet ◽  
Pawel Domański

2017 ◽  
Vol 64 (1) ◽  
pp. 13-24 ◽  
Author(s):  
Giovanna Cucci ◽  
Giovanni Lacolla ◽  
Gianraffaele Caranfa

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